documentation of the calculations

Upload: missesspeedy

Post on 30-May-2018

225 views

Category:

Documents


0 download

TRANSCRIPT

  • 8/14/2019 Documentation of the Calculations

    1/597

    Documentation of the calculations to the article Integrated scheduling and

    distribution of production and shipment with stock-free material flows in a supply

    chain network a real-life problem

    Contents

    A. Remarks 2

    B. Notation 3

    C. The MSPSDS-SF model (data from Section 2) 5

    D. Computational results of the optimizations 22

    E. Preliminary notes to the RF-heuristics S1S2 and S2S1 159

    F. Computational results of the RF-heuristic S1S2 161

    G. Computational results of the RF-heuristic S2S1 305

    H. Preliminary notes to the three-stage RF-heuristics 327

    I. Computational results of the RF-heuristic S3S4S5 329

    J. Computational results of the RF-heuristic S4S3S5 462

    K. Computational results of the RF-heuristic S3S5S4 496

    L. Computational results of the RF-heuristic S5S3S4 519

    M. Computational results of the RF-heuristic S4S5S3 553

    N. Computational results of the RF-heuristic S5S4S3 576

  • 8/14/2019 Documentation of the Calculations

    2/597

    Documentation of the calculations 2

    A. Remarks

    Remarks to LINGO 11.0: the objective function and constraints must be terminated with

    a semicolon. All expressions between an exclamation mark and a semicolon are not

    part of the model. Here, the objective function and the constraints are numbered as inthe article. By default, all variables are assumed as non-negative and continuous.

    However, binary variables can be considered with the @bin function. The syntax is as

    follows:

    @bin(variable_name);

    Calculations can be started by entering the MSPSDS-SF model formulated in Section C

    into the so-called child window labeled LINGO Model LINGO1 and pushing the solve-

    button (for further information see LINGO the modeling language and optimizer,

    LINDO Systems Inc., 2007).

    All calculations were executed using the optimization software package LINGO 11.0

    (LINDO 2007) on an Intel Core 2 Quad Q9650 PC with a 3 GHz CPU, 1333 MHz Front-

    Side-bus, 12 MB cache and 4 GB memory. During each execution, the aforementioned

    PC was exclusively used for the calculation of only one scenario.

    All solver status windows generated during the optimizations and the RF-heuristics aredocumented by screenshots. The solution reports of the optimizations as well as the

    final solution reports of the RF-heuristics are also documented. In contrast, the values

    of the binary variables computed in the intermediate steps of the RF-heuristics are not

    recorded. At any time, they can be handed in later.

  • 8/14/2019 Documentation of the Calculations

    3/597

    Documentation of the calculations 3

    B. Notation

    The assignment between numbers and SC stages or sites, respectively, is as follows:

    I Bauxite mining

    II Aluminum oxide production

    III Primary aluminum production

    1 Jamaica (Bauxite mining)

    2 West Africa (Bauxite mining)

    3 Australia (Bauxite mining)

    4 Spain (Aluminum oxide production)

    5 Jamaica (Aluminum oxide production)

    6 Ireland (Aluminum oxide production)7 Italy (Aluminum oxide production)

    8 Germany (Primary aluminum production)

    Index sets and indices

    - SC stages of the primary aluminum supply chain

    IS : = {I, II, III}

    - Sites at the SC stages

    I : = {1,2,3}, I =konI ,

    II : = {4,5,6,7}, II =konII ,

    III : = {8}, =konIII .

    - Released quantities at the sites 1 to 8

    1L : = {1,2}, 2L : = {1,2}, 3L : = {1,2},

    4L : = {1,2,3}, 5L : = {1,2,3}, 6L : = {1,2,3}, 7L : = {1,2,3},

    8L : = {1,2,3,4}.

  • 8/14/2019 Documentation of the Calculations

    4/597

    Documentation of the calculations 4

    Continuous decision variables

    p_i_k k-th released quantity, k iL , at site i = 1,,8 (in units/production activity)

    t_i_k Production start time of the k-th released quantity, k iL , at site i = 1,,8

    (in days)

    tr_i_j_k_m Quantity of intermediate products taken from the k-th released quantity,

    k iL , at site i = 1,2,3 [i = 4,,7], which is fed into the m-th released

    quantity, m jL , at site j = 4,,7 [j = 8] (in tons)

    x_i Order quantity at site i, i = 1, , 8 (in tons)

    Binary decision variables

    ar_i_k 1, if the k-th released quantity, k iL , at site i = 1,,8 is produced, 0

    otherwise

    b_i_j_k_m 1, if intermediate products of the k-th released quantity, k iL ,at site i =

    1,2,3 (i = 4,,7) are fed into the m-th released quantity, m jL , at site j =

    4,,7 (j = 8), 0 otherwise

    pr_i 1, if site 1 to 8 is occupied by the supply chain, 0 otherwise

    s_6_k 1, if the k-th released quantity, k 6L , at site 6 is scheduled before time

    block interval (20; 40), 0 otherwise

    Furthermore, it is defined C = 10,000.

  • 8/14/2019 Documentation of the Calculations

    5/597

    Documentation of the calculations 5

    C. The MSPSDS-SF model (data from Section 2)

    !Objective function (1);

    min=16.5*x_1+9.5*x_2+6.5*x_3+279*x_4+176*x_5+240*x_6+307*x_7+1560*x_8+4500

    00*b_1_4_1_1+450000*b_1_4_1_2+450000*b_1_4_1_3+450000*b_1_4_2_1+450000*b_1_4_2_2+450000*b_1_4_2_3+0.54*tr_1_5_1_1+0.54*tr_1_5_1_2+0.54*tr_1_5_1_3

    +0.54*tr_1_5_2_1+0.54*tr_1_5_2_2+0.54*tr_1_5_2_3+390000*b_1_6_1_1+390000*b_

    1_6_1_2+390000*b_1_6_1_3+390000*b_1_6_2_1+390000*b_1_6_2_2+390000*b_1_

    6_2_3+540000*b_1_7_1_1+540000*b_1_7_1_2+540000*b_1_7_1_3+540000*b_1_7_

    2_1+540000*b_1_7_2_2+540000*b_1_7_2_3+210000*b_2_4_1_1+210000*b_2_4_1_

    2+210000*b_2_4_1_3+210000*b_2_4_2_1+210000*b_2_4_2_2+210000*b_2_4_2_3+

    390000*b_2_5_1_1+390000*b_2_5_1_2+390000*b_2_5_1_3+390000*b_2_5_2_1+390000*b_2_5_2_2+390000*b_2_5_2_3+270000*b_2_6_1_1+270000*b_2_6_1_2+2700

    00*b_2_6_1_3+270000*b_2_6_2_1+270000*b_2_6_2_2+270000*b_2_6_2_3+300000*

    b_2_7_1_1+300000*b_2_7_1_2+300000*b_2_7_1_3+300000*b_2_7_2_1+300000*b_

    2_7_2_2+300000*b_2_7_2_3+840000*b_3_4_1_1+840000*b_3_4_1_2+840000*b_3_

    4_1_3+840000*b_3_4_2_1+840000*b_3_4_2_2+840000*b_3_4_2_3+1110000*b_3_5

    _1_1+1110000*b_3_5_1_2+1110000*b_3_5_1_3+1110000*b_3_5_2_1+1110000*b_3

    _5_2_2+1110000*b_3_5_2_3+930000*b_3_6_1_1+930000*b_3_6_1_2+930000*b_3_

    6_1_3+930000*b_3_6_2_1+930000*b_3_6_2_2+930000*b_3_6_2_3+960000*b_3_7_

    1_1+960000*b_3_7_1_2+960000*b_3_7_1_3+960000*b_3_7_2_1+960000*b_3_7_2_

    2+960000*b_3_7_2_3+67700*b_4_8_1_1+67700*b_4_8_1_2+67700*b_4_8_1_3+677

    00*b_4_8_1_4+67700*b_4_8_2_1+67700*b_4_8_2_2+67700*b_4_8_2_3+67700*b_4_

    8_2_4+67700*b_4_8_3_1+67700*b_4_8_3_2+67700*b_4_8_3_3+67700*b_4_8_3_4+

    427700*b_5_8_1_1+427700*b_5_8_1_2+427700*b_5_8_1_3+427700*b_5_8_1_4+42

    7700*b_5_8_2_1+427700*b_5_8_2_2+427700*b_5_8_2_3+427700*b_5_8_2_4+4277

    00*b_5_8_3_1+427700*b_5_8_3_2+427700*b_5_8_3_3+427700*b_5_8_3_4+52700*b

    _6_8_1_1+52700*b_6_8_1_2+52700*b_6_8_1_3+52700*b_6_8_1_4+52700*b_6_8_2

    _1+52700*b_6_8_2_2+52700*b_6_8_2_3+52700*b_6_8_2_4+52700*b_6_8_3_1+527

    00*b_6_8_3_2+52700*b_6_8_3_3+52700*b_6_8_3_4+217700*b_7_8_1_1+217700*b_

    7_8_1_2+217700*b_7_8_1_3+217700*b_7_8_1_4+217700*b_7_8_2_1+217700*b_7_

    8_2_2+217700*b_7_8_2_3+217700*b_7_8_2_4+217700*b_7_8_3_1+217700*b_7_8_

    3_2+217700*b_7_8_3_3+217700*b_7_8_3_4-bonus payments*(181-t_8_1-

    p_8_1/440)- bonus payments*(181-t_8_2-p_8_2/440)- bonus payments*(181-t_8_3-

  • 8/14/2019 Documentation of the Calculations

    6/597

    Documentation of the calculations 6

    p_8_3/440)- bonus payments*(181-t_8_4-p_8_4/440);

    !Note: The bonus payments were parametrically varied according to the values

    assumed in the scenario analysis;

    !Constraints (2);

    x_8=96000;

    !Constraints (3);

    x_4+x_5+x_6+x_7=180000; x_1+x_2+x_3=360000;

    !Constraints (4);

    x_8=p_8_1+p_8_2+p_8_3+p_8_4; x_7=p_7_1+p_7_2+p_7_3;

    x_6=p_6_1+p_6_2+p_6_3; x_5=p_5_1+p_5_2+p_5_3;

    x_4=p_4_1+p_4_2+p_4_3; x_3=p_3_1+p_3_2; x_2=p_2_1+p_2_2;

    x_1=p_1_1+p_1_2;

    !Constraints (5);

    p_1_1=tr_1_4_1_1+tr_1_4_1_2+tr_1_4_1_3+tr_1_5_1_1+tr_1_5_1_2+tr_1_5_1_3+

    tr_1_6_1_1+tr_1_6_1_2+tr_1_6_1_3+tr_1_7_1_1+tr_1_7_1_2+tr_1_7_1_3;

    p_1_2=tr_1_4_2_1+tr_1_4_2_2+tr_1_4_2_3+tr_1_5_2_1+tr_1_5_2_2+tr_1_5_2_3+

    tr_1_6_2_1+tr_1_6_2_2+tr_1_6_2_3+tr_1_7_2_1+tr_1_7_2_2+tr_1_7_2_3;

    p_2_1=tr_2_4_1_1+tr_2_4_1_2+tr_2_4_1_3+tr_2_5_1_1+tr_2_5_1_2+tr_2_5_1_3+

    tr_2_6_1_1+tr_2_6_1_2+tr_2_6_1_3+tr_2_7_1_1+tr_2_7_1_2+tr_2_7_1_3;

    p_2_2=tr_2_4_2_1+tr_2_4_2_2+tr_2_4_2_3+tr_2_5_2_1+tr_2_5_2_2+tr_2_5_2_3+

    tr_2_6_2_1+tr_2_6_2_2+tr_2_6_2_3+tr_2_7_2_1+tr_2_7_2_2+tr_2_7_2_3;

    p_3_1=tr_3_4_1_1+tr_3_4_1_2+tr_3_4_1_3+tr_3_5_1_1+tr_3_5_1_2+tr_3_5_1_3+

    tr_3_6_1_1+tr_3_6_1_2+tr_3_6_1_3+tr_3_7_1_1+tr_3_7_1_2+tr_3_7_1_3;

    p_3_2=tr_3_4_2_1+tr_3_4_2_2+tr_3_4_2_3+tr_3_5_2_1+tr_3_5_2_2+tr_3_5_2_3+

    tr_3_6_2_1+tr_3_6_2_2+tr_3_6_2_3+tr_3_7_2_1+tr_3_7_2_2+tr_3_7_2_3;

    p_4_1=tr_4_8_1_1+tr_4_8_1_2+tr_4_8_1_3+tr_4_8_1_4;

    p_4_2=tr_4_8_2_1+tr_4_8_2_2+tr_4_8_2_3+tr_4_8_2_4;

    p_4_3=tr_4_8_3_1+ tr_4_8_3_2+ tr_4_8_3_3+ tr_4_8_3_4;

    p_5_1=tr_5_8_1_1+ tr_5_8_1_2+ tr_5_8_1_3+ tr_5_8_1_4;

    p_5_2=tr_5_8_2_1+ tr_5_8_2_2+ tr_5_8_2_3+ tr_5_8_2_4;

    p_5_3=tr_5_8_3_1+ tr_5_8_3_2+ tr_5_8_3_3+ tr_5_8_3_4;

    p_6_1=tr_6_8_1_1+ tr_6_8_1_2+ tr_6_8_1_3+ tr_6_8_1_4;

    p_6_2=tr_6_8_2_1+ tr_6_8_2_2+ tr_6_8_2_3+ tr_6_8_2_4;p_6_3=tr_6_8_3_1+ tr_6_8_3_2+ tr_6_8_3_3+ tr_6_8_3_4;

  • 8/14/2019 Documentation of the Calculations

    7/597

    Documentation of the calculations 7

    p_7_1=tr_7_8_1_1+ tr_7_8_1_2+ tr_7_8_1_3+ tr_7_8_1_4;

    p_7_2=tr_7_8_2_1+ tr_7_8_2_2+ tr_7_8_2_3+ tr_7_8_2_4;

    p_7_3=tr_7_8_3_1+ tr_7_8_3_2+ tr_7_8_3_3+ tr_7_8_3_4;

    !Constraints (6);

    2*p_4_1=tr_1_4_1_1+tr_1_4_2_1+tr_2_4_1_1+tr_2_4_2_1+tr_3_4_1_1+tr_3_4_2_1;

    2*p_4_2=tr_1_4_1_2+tr_1_4_2_2+tr_2_4_1_2+tr_2_4_2_2+tr_3_4_1_2+tr_3_4_2_2;

    2*p_4_3=tr_1_4_1_3+tr_1_4_2_3+tr_2_4_1_3+tr_2_4_2_3+tr_3_4_1_3+tr_3_4_2_3;

    2*p_5_1=tr_1_5_1_1+tr_1_5_2_1+tr_2_5_1_1+tr_2_5_2_1+tr_3_5_1_1+tr_3_5_2_1;

    2*p_5_2=tr_1_5_1_2+tr_1_5_2_2+tr_2_5_1_2+tr_2_5_2_2+tr_3_5_1_2+tr_3_5_2_2;

    2*p_5_3=tr_1_5_1_3+tr_1_5_2_3+tr_2_5_1_3+tr_2_5_2_3+tr_3_5_1_3+tr_3_5_2_3;

    2*p_6_1=tr_1_6_1_1+tr_1_6_2_1+tr_2_6_1_1+tr_2_6_2_1+tr_3_6_1_1+tr_3_6_2_1;

    2*p_6_2=tr_1_6_1_2+tr_1_6_2_2+tr_2_6_1_2+tr_2_6_2_2+tr_3_6_1_2+tr_3_6_2_2;

    2*p_6_3=tr_1_6_1_3+tr_1_6_2_3+tr_2_6_1_3+tr_2_6_2_3+tr_3_6_1_3+tr_3_6_2_3;

    2*p_7_1=tr_1_7_1_1+tr_1_7_2_1+tr_2_7_1_1+tr_2_7_2_1+tr_3_7_1_1+tr_3_7_2_1;

    2*p_7_2=tr_1_7_1_2+tr_1_7_2_2+tr_2_7_1_2+tr_2_7_2_2+tr_3_7_1_2+tr_3_7_2_2;

    2*p_7_3=tr_1_7_1_3+tr_1_7_2_3+tr_2_7_1_3+tr_2_7_2_3+tr_3_7_1_3+tr_3_7_2_3;

    1.875*p_8_1=tr_4_8_1_1+tr_4_8_2_1+tr_4_8_3_1+tr_5_8_1_1+tr_5_8_2_1+tr_5_8_3

    _1+tr_6_8_1_1+tr_6_8_2_1+tr_6_8_3_1+tr_7_8_1_1+tr_7_8_2_1+tr_7_8_3_1;

    1.875*p_8_2=tr_4_8_1_2+tr_4_8_2_2+tr_4_8_3_2+tr_5_8_1_2+tr_5_8_2_2+tr_5_8_3

    _2+tr_6_8_1_2+tr_6_8_2_2+tr_6_8_3_2+tr_7_8_1_2+tr_7_8_2_2+tr_7_8_3_2;

    1.875*p_8_3=tr_4_8_1_3+tr_4_8_2_3+tr_4_8_3_3+tr_5_8_1_3+tr_5_8_2_3+tr_5_8_3

    _3+tr_6_8_1_3+tr_6_8_2_3+tr_6_8_3_3+tr_7_8_1_3+tr_7_8_2_3+tr_7_8_3_3;

    1.875*p_8_4=tr_4_8_1_4+tr_4_8_2_4+tr_4_8_3_4+tr_5_8_1_4+tr_5_8_2_4+tr_5_8_3

    _4+tr_6_8_1_4+tr_6_8_2_4+tr_6_8_3_4+tr_7_8_1_4+tr_7_8_2_4+tr_7_8_3_4;

    !Constraints (7);

    25000*pr_1

  • 8/14/2019 Documentation of the Calculations

    8/597

    Documentation of the calculations 8

    8000*ar_8_2

  • 8/14/2019 Documentation of the Calculations

    9/597

    Documentation of the calculations 9

    10000*b_1_6_1_1

  • 8/14/2019 Documentation of the Calculations

    10/597

    Documentation of the calculations 10

    10000*b_2_7_2_2

  • 8/14/2019 Documentation of the Calculations

    11/597

    Documentation of the calculations 11

    5000*b_4_8_3_1

  • 8/14/2019 Documentation of the Calculations

    12/597

    Documentation of the calculations 12

    5000*b_7_8_2_3

  • 8/14/2019 Documentation of the Calculations

    13/597

    Documentation of the calculations 13

    t_1_1+p_1_1/24438+1=t_5_3-10000*(1-b_1_5_1_3);

    t_1_2+p_1_2/24438+1=t_5_1-10000*(1-b_1_5_2_1);

    t_1_2+p_1_2/24438+1=t_5_2-10000*(1-b_1_5_2_2);

    t_1_2+p_1_2/24438+1=t_5_3-10000*(1-b_1_5_2_3);

    t_1_1+p_1_1/24438+13=t_6_1-10000*(1-b_1_6_1_1);

    t_1_1+p_1_1/24438+13=t_6_2-10000*(1-b_1_6_1_2);

    t_1_1+p_1_1/24438+13=t_6_3-10000*(1-b_1_6_1_3);

    t_1_2+p_1_2/24438+13=t_6_1-10000*(1-b_1_6_2_1);

    t_1_2+p_1_2/24438+13=t_6_2-10000*(1-b_1_6_2_2);

    t_1_2+p_1_2/24438+13=t_6_3-10000*(1-b_1_6_2_3);

    t_1_1+p_1_1/24438+18=t_7_1-10000*(1-b_1_7_1_1);

    t_1_1+p_1_1/24438+18=t_7_2-10000*(1-b_1_7_1_2);

    t_1_1+p_1_1/24438+18=t_7_3-10000*(1-b_1_7_1_3);

    t_1_2+p_1_2/24438+18=t_7_1-10000*(1-b_1_7_2_1);

    t_1_2+p_1_2/24438+18=t_7_2-10000*(1-b_1_7_2_2);

    t_1_2+p_1_2/24438+18=t_7_3-10000*(1-b_1_7_2_3);

    t_2_1+p_2_1/36055+7=t_4_1-10000*(1-b_2_4_1_1);

  • 8/14/2019 Documentation of the Calculations

    14/597

    Documentation of the calculations 14

    t_2_1+p_2_1/36055+7=t_4_2-10000*(1-b_2_4_1_2);

    t_2_1+p_2_1/36055+7=t_4_3-10000*(1-b_2_4_1_3);

    t_2_2+p_2_2/36055+7=t_4_1-10000*(1-b_2_4_2_1);

    t_2_2+p_2_2/36055+7=t_4_2-10000*(1-b_2_4_2_2);

    t_2_2+p_2_2/36055+7=t_4_3-10000*(1-b_2_4_2_3);

    t_2_1+p_2_1/36055+13=t_5_1-10000*(1-b_2_5_1_1);

    t_2_1+p_2_1/36055+13=t_5_2-10000*(1-b_2_5_1_2);

    t_2_1+p_2_1/36055+13=t_5_3-10000*(1-b_2_5_1_3);

    t_2_2+p_2_2/36055+13=t_5_1-10000*(1-b_2_5_2_1);

    t_2_2+p_2_2/36055+13=t_5_2-10000*(1-b_2_5_2_2);

    t_2_2+p_2_2/36055+13=t_5_3-10000*(1-b_2_5_2_3);

    t_2_1+p_2_1/36055+9=t_6_1-10000*(1-b_2_6_1_1);

    t_2_1+p_2_1/36055+9=t_6_2-10000*(1-b_2_6_1_2);

    t_2_1+p_2_1/36055+9=t_6_3-10000*(1-b_2_6_1_3);

    t_2_2+p_2_2/36055+9=t_6_1-10000*(1-b_2_6_2_1);

    t_2_2+p_2_2/36055+9=t_6_2-10000*(1-b_2_6_2_2);

    t_2_2+p_2_2/36055+9=t_6_3-10000*(1-b_2_6_2_3);

  • 8/14/2019 Documentation of the Calculations

    15/597

    Documentation of the calculations 15

    t_2_1+p_2_1/36055+10=t_7_1-10000*(1-b_2_7_1_1);

    t_2_1+p_2_1/36055+10=t_7_2-10000*(1-b_2_7_1_2);

    t_2_1+p_2_1/36055+10=t_7_3-10000*(1-b_2_7_1_3);

    t_2_2+p_2_2/36055+10=t_7_1-10000*(1-b_2_7_2_1);

    t_2_2+p_2_2/36055+10=t_7_2-10000*(1-b_2_7_2_2);

    t_2_2+p_2_2/36055+10=t_7_3-10000*(1-b_2_7_2_3);

    t_3_1+p_3_1/45205+28=t_4_1-10000*(1-b_3_4_1_1);

    t_3_1+p_3_1/45205+28=t_4_2-10000*(1-b_3_4_1_2);

    t_3_1+p_3_1/45205+28=t_4_3-10000*(1-b_3_4_1_3);

    t_3_2+p_3_2/45205+28=t_4_1-10000*(1-b_3_4_2_1);

    t_3_2+p_3_2/45205+28=t_4_2-10000*(1-b_3_4_2_2);

    t_3_2+p_3_2/45205+28=t_4_3-10000*(1-b_3_4_2_3);

    t_3_1+p_3_1/45205+37=t_5_1-10000*(1-b_3_5_1_1);

    t_3_1+p_3_1/45205+37=t_5_2-10000*(1-b_3_5_1_2);

    t_3_1+p_3_1/45205+37=t_5_3-10000*(1-b_3_5_1_3);

    t_3_2+p_3_2/45205+37=t_5_1-10000*(1-b_3_5_2_1);

    t_3_2+p_3_2/45205+37=t_5_2-10000*(1-b_3_5_2_2);

  • 8/14/2019 Documentation of the Calculations

    16/597

  • 8/14/2019 Documentation of the Calculations

    17/597

    Documentation of the calculations 17

    t_4_2+p_4_2/4027+3=t_8_1-10000*(1-b_4_8_2_1);

    t_4_2+p_4_2/4027+3=t_8_2-10000*(1-b_4_8_2_2);

    t_4_2+p_4_2/4027+3=t_8_3-10000*(1-b_4_8_2_3);

    t_4_2+p_4_2/4027+3=t_8_4-10000*(1-b_4_8_2_4);

    t_4_3+p_4_3/4027+3=t_8_1-10000*(1-b_4_8_3_1);

    t_4_3+p_4_3/4027+3=t_8_2-10000*(1-b_4_8_3_2);

    t_4_3+p_4_3/4027+3=t_8_3-10000*(1-b_4_8_3_3);

    t_4_3+p_4_3/4027+3=t_8_4-10000*(1-b_4_8_3_4);

    t_5_1+p_5_1/3562+15=t_8_1-10000*(1-b_5_8_1_1);

    t_5_1+p_5_1/3562+15=t_8_2-10000*(1-b_5_8_1_2);

    t_5_1+p_5_1/3562+15=t_8_3-10000*(1-b_5_8_1_3);

    t_5_1+p_5_1/3562+15=t_8_4-10000*(1-b_5_8_1_4);

    t_5_2+p_5_2/3562+15=t_8_1-10000*(1-b_5_8_2_1);

    t_5_2+p_5_2/3562+15=t_8_2-10000*(1-b_5_8_2_2);

    t_5_2+p_5_2/3562+15=t_8_3-10000*(1-b_5_8_2_3);

    t_5_2+p_5_2/3562+15=t_8_4-10000*(1-b_5_8_2_4);

    t_5_3+p_5_3/3562+15=t_8_1-10000*(1-b_5_8_3_1);

  • 8/14/2019 Documentation of the Calculations

    18/597

    Documentation of the calculations 18

    t_5_3+p_5_3/3562+15=t_8_2-10000*(1-b_5_8_3_2);

    t_5_3+p_5_3/3562+15=t_8_3-10000*(1-b_5_8_3_3);

    t_5_3+p_5_3/3562+15=t_8_4-10000*(1-b_5_8_3_4);

    t_6_1+p_6_1/4932+2.5=t_8_1-10000*(1-b_6_8_1_1);

    t_6_1+p_6_1/4932+2.5=t_8_2-10000*(1-b_6_8_1_2);

    t_6_1+p_6_1/4932+2.5=t_8_3-10000*(1-b_6_8_1_3);

    t_6_1+p_6_1/4932+2.5=t_8_4-10000*(1-b_6_8_1_4);

    t_6_2+p_6_2/4932+2.5=t_8_1-10000*(1-b_6_8_2_1);

    t_6_2+p_6_2/4932+2.5=t_8_2-10000*(1-b_6_8_2_2);

    t_6_2+p_6_2/4932+2.5=t_8_3-10000*(1-b_6_8_2_3);

    t_6_2+p_6_2/4932+2.5=t_8_4-10000*(1-b_6_8_2_4);

    t_6_3+p_6_3/4932+2.5=t_8_1-10000*(1-b_6_8_3_1);

    t_6_3+p_6_3/4932+2.5=t_8_2-10000*(1-b_6_8_3_2);

    t_6_3+p_6_3/4932+2.5=t_8_3-10000*(1-b_6_8_3_3);

    t_6_3+p_6_3/4932+2.5=t_8_4-10000*(1-b_6_8_3_4);

    t_7_1+p_7_1/2740+8=t_8_1-10000*(1-b_7_8_1_1);

    t_7_1+p_7_1/2740+8=t_8_2-10000*(1-b_7_8_1_2);

  • 8/14/2019 Documentation of the Calculations

    19/597

    Documentation of the calculations 19

    t_7_1+p_7_1/2740+8=t_8_3-10000*(1-b_7_8_1_3);

    t_7_1+p_7_1/2740+8=t_8_4-10000*(1-b_7_8_1_4);

    t_7_2+p_7_2/2740+8=t_8_1-10000*(1-b_7_8_2_1);

    t_7_2+p_7_2/2740+8=t_8_2-10000*(1-b_7_8_2_2);

    t_7_2+p_7_2/2740+8=t_8_3-10000*(1-b_7_8_2_3);

    t_7_2+p_7_2/2740+8=t_8_4-10000*(1-b_7_8_2_4);

    t_7_3+p_7_3/2740+8=t_8_1-10000*(1-b_7_8_3_1);

    t_7_3+p_7_3/2740+8=t_8_2-10000*(1-b_7_8_3_2);

    t_7_3+p_7_3/2740+8=t_8_3-10000*(1-b_7_8_3_3);

    t_7_3+p_7_3/2740+8=t_8_4-10000*(1-b_7_8_3_4);

    !The time block constraints (13) need to be added only for the scenarios 12 to 22;

    t_6_1+p_6_1/4932=40-10000*s_6_1;

    t_6_2+p_6_2/4932=40-10000*s_6_2;

    t_6_3+p_6_3/4932=40-10000*s_6_3;

    !Constraints (14);

    t_8_1=181-10000*ar_8_1;

    t_8_2=181-10000*ar_8_2;

    t_8_3=181-10000*ar_8_3;

    t_8_4=181-10000*ar_8_4;

    !Binary constraints (15);@bin(pr_1); @bin(pr_2); @bin(pr_3); @bin(pr_4); @bin(pr_5); @bin(pr_6); @bin(pr_7);

  • 8/14/2019 Documentation of the Calculations

    20/597

    Documentation of the calculations 20

    !Binary constraints (16);

    @bin(ar_1_1); @bin(ar_1_2); @bin(ar_2_1); @bin(ar_2_2); @bin(ar_3_1);

    @bin(ar_3_2); @bin(ar_4_1); @bin(ar_4_2); @bin(ar_4_3); @bin(ar_5_1);

    @bin(ar_5_2); @bin(ar_5_3); @bin(ar_6_1); @bin(ar_6_2); @bin(ar_6_3);

    @bin(ar_7_1); @bin(ar_7_2); @bin(ar_7_3); @bin(ar_8_1); @bin(ar_8_2);

    @bin(ar_8_3); @bin(ar_8_4);

    !Binary constraints (17);

    @bin(b_1_4_1_1); @bin(b_1_4_1_2); @bin(b_1_4_1_3); @bin(b_1_4_2_1);

    @bin(b_1_4_2_2); @bin(b_1_4_2_3); @bin(b_1_5_1_1); @bin(b_1_5_1_2);

    @bin(b_1_5_1_3); @bin(b_1_5_2_1); @bin(b_1_5_2_2); @bin(b_1_5_2_3);

    @bin(b_1_6_1_1); @bin(b_1_6_1_2); @bin(b_1_6_1_3); @bin(b_1_6_2_1);

    @bin(b_1_6_2_2); @bin(b_1_6_2_3); @bin(b_1_7_1_1); @bin(b_1_7_1_2);

    @bin(b_1_7_1_3); @bin(b_1_7_2_1); @bin(b_1_7_2_2); @bin(b_1_7_2_3);

    @bin(b_2_4_1_1); @bin(b_2_4_1_2); @bin(b_2_4_1_3); @bin(b_2_4_2_1);

    @bin(b_2_4_2_2); @bin(b_2_4_2_3); @bin(b_2_5_1_1); @bin(b_2_5_1_2);

    @bin(b_2_5_1_3); @bin(b_2_5_2_1); @bin(b_2_5_2_2); @bin(b_2_5_2_3);

    @bin(b_2_6_1_1); @bin(b_2_6_1_2); @bin(b_2_6_1_3); @bin(b_2_6_2_1);

    @bin(b_2_6_2_2); @bin(b_2_6_2_3); @bin(b_2_7_1_1); @bin(b_2_7_1_2);

    @bin(b_2_7_1_3); @bin(b_2_7_2_1); @bin(b_2_7_2_2); @bin(b_2_7_2_3);

    @bin(b_3_4_1_1); @bin(b_3_4_1_2); @bin(b_3_4_1_3); @bin(b_3_4_2_1);

    @bin(b_3_4_2_2); @bin(b_3_4_2_3); @bin(b_3_5_1_1); @bin(b_3_5_1_2);

    @bin(b_3_5_1_3); @bin(b_3_5_2_1); @bin(b_3_5_2_2); @bin(b_3_5_2_3);

    @bin(b_3_6_1_1); @bin(b_3_6_1_2); @bin(b_3_6_1_3); @bin(b_3_6_2_1);

    @bin(b_3_6_2_2); @bin(b_3_6_2_3); @bin(b_3_7_1_1); @bin(b_3_7_1_2);

    @bin(b_3_7_1_3); @bin(b_3_7_2_1); @bin(b_3_7_2_2); @bin(b_3_7_2_3);

    @bin(b_4_8_1_1); @bin(b_4_8_1_2); @bin(b_4_8_1_3); @bin(b_4_8_1_4);

    @bin(b_4_8_2_1); @bin(b_4_8_2_2); @bin(b_4_8_2_3); @bin(b_4_8_2_4);

    @bin(b_4_8_3_1); @bin(b_4_8_3_2); @bin(b_4_8_3_3); @bin(b_4_8_3_4);

    @bin(b_5_8_1_1); @bin(b_5_8_1_2); @bin(b_5_8_1_3); @bin(b_5_8_1_4);

    @bin(b_5_8_2_1); @bin(b_5_8_2_2); @bin(b_5_8_2_3); @bin(b_5_8_2_4);

    @bin(b_5_8_3_1); @bin(b_5_8_3_2); @bin(b_5_8_3_3); @bin(b_5_8_3_4);

    @bin(b_6_8_1_1); @bin(b_6_8_1_2); @bin(b_6_8_1_3); @bin(b_6_8_1_4);

    @bin(b_6_8_2_1); @bin(b_6_8_2_2); @bin(b_6_8_2_3); @bin(b_6_8_2_4);@bin(b_6_8_3_1); @bin(b_6_8_3_2); @bin(b_6_8_3_3); @bin(b_6_8_3_4);

  • 8/14/2019 Documentation of the Calculations

    21/597

    Documentation of the calculations 21

    @bin(b_7_8_1_1); @bin(b_7_8_1_2); @bin(b_7_8_1_3); @bin(b_7_8_1_4);

    @bin(b_7_8_2_1); @bin(b_7_8_2_2); @bin(b_7_8_2_3); @bin(b_7_8_2_4);

    @bin(b_7_8_3_1); @bin(b_7_8_3_2); @bin(b_7_8_3_3); @bin(b_7_8_3_4);

    !The binary constraints (18) need to be added only for the scenarios 12 to 22;@bin(s_6_1); @bin(s_6_2); @bin(s_6_3);

  • 8/14/2019 Documentation of the Calculations

    22/597

    Documentation of the calculations 22

    D. Computational results of the optimizations

    Scenario No. 1 [Bonus payments: 100,000 US$ for each day of delivery before T=181;no time block interval]

    Global optimal solution found.

    Objective value: 0.1585783E+09

    Objective bound: 0.1585783E+09

    Infeasibilities: 0.2910383E-10

    Extended solver steps: 16644637

    Total solver iterations: 1045951058

    Variable Value Reduced Cost

    X_1 90004.51 0.000000

    X_2 170000.0 0.000000

    X_3 99995.49 0.000000

    X_4 25000.00 0.000000

    X_5 70002.26 0.000000

    X_6 84997.74 0.000000X_7 0.000000 45.62440

    X_8 96000.00 0.000000

    B_1_4_1_1 0.000000 450000.0

    B_1_4_1_2 0.000000 450000.0

    B_1_4_1_3 0.000000 450000.0

    B_1_4_2_1 0.000000 450000.0

    B_1_4_2_2 0.000000 450000.0

    B_1_4_2_3 0.000000 450000.0

    TR_1_5_1_1 40004.51 0.000000

    TR_1_5_1_2 0.000000 9.513369

    TR_1_5_1_3 0.000000 17.05337

    TR_1_5_2_1 0.000000 0.000000

    TR_1_5_2_2 50000.00 0.000000TR_1_5_2_3 0.000000 7.540000

  • 8/14/2019 Documentation of the Calculations

    23/597

    Documentation of the calculations 23

    B_1_6_1_1 0.000000 390000.0

    B_1_6_1_2 0.000000 390000.0

    B_1_6_1_3 0.000000 390000.0

    B_1_6_2_1 0.000000 120955.7

    B_1_6_2_2 0.000000 390000.0

    B_1_6_2_3 0.000000 390000.0

    B_1_7_1_1 0.000000 540000.0B_1_7_1_2 0.000000 540000.0

    B_1_7_1_3 0.000000 540000.0

    B_1_7_2_1 0.000000 540000.0

    B_1_7_2_2 0.000000 540000.0

    B_1_7_2_3 0.000000 540000.0

    B_2_4_1_1 0.000000 -280000.0

    B_2_4_1_2 0.000000 210000.0

    B_2_4_1_3 0.000000 -280000.0

    B_2_4_2_1 0.000000 -280000.0

    B_2_4_2_2 0.000000 210000.0

    B_2_4_2_3 0.000000 -280000.0

    B_2_5_1_1 0.000000 -803735.8

    B_2_5_1_2 0.000000 -137800.0

    B_2_5_1_3 1.000000 0.6755130E+09

    B_2_5_2_1 0.000000 -803735.8

    B_2_5_2_2 0.000000 -137800.0

    B_2_5_2_3 0.000000 390000.0

    B_2_6_1_1 1.000000 0.6746339E+09

    B_2_6_1_2 0.000000 270000.0

    B_2_6_1_3 0.000000 220607.0

    B_2_6_2_1 0.000000 -489044.3

    B_2_6_2_2 1.000000 270000.0

    B_2_6_2_3 0.000000 220607.0

    B_2_7_1_1 0.000000 -190000.0

    B_2_7_1_2 0.000000 -190000.0

    B_2_7_1_3 0.000000 -190000.0

    B_2_7_2_1 0.000000 -190000.0

    B_2_7_2_2 0.000000 -190000.0

    B_2_7_2_3 0.000000 -190000.0

    B_3_4_1_1 0.000000 399393.0

    B_3_4_1_2 0.000000 840000.0

    B_3_4_1_3 0.000000 399393.0

    B_3_4_2_1 0.000000 140000.0

    B_3_4_2_2 1.000000 840000.0

    B_3_4_2_3 0.000000 140000.0

    B_3_5_1_1 0.000000 -34342.80

    B_3_5_1_2 0.000000 631593.0

    B_3_5_1_3 0.000000 1110000.

    B_3_5_2_1 0.000000 -293735.8

    B_3_5_2_2 0.000000 372200.0

    B_3_5_2_3 0.000000 900000.0

    B_3_6_1_1 0.000000 220348.7

    B_3_6_1_2 0.000000 930000.0

    B_3_6_1_3 1.000000 0.1676053E+10

    B_3_6_2_1 0.000000 -39044.26

    B_3_6_2_2 0.000000 720000.0

    B_3_6_2_3 0.000000 670607.0

    B_3_7_1_1 0.000000 519393.0

    B_3_7_1_2 0.000000 519393.0

    B_3_7_1_3 0.000000 519393.0

    B_3_7_2_1 0.000000 260000.0

    B_3_7_2_2 0.000000 260000.0

    B_3_7_2_3 0.000000 260000.0B_4_8_1_1 0.000000 67700.00

  • 8/14/2019 Documentation of the Calculations

    24/597

    Documentation of the calculations 24

    B_4_8_1_2 0.000000 67700.00

    B_4_8_1_3 0.000000 67700.00

    B_4_8_1_4 0.000000 67700.00

    B_4_8_2_1 0.000000 8309.906

    B_4_8_2_2 0.000000 8309.906

    B_4_8_2_3 1.000000 8309.906

    B_4_8_2_4 0.000000 8309.906B_4_8_3_1 0.000000 67700.00

    B_4_8_3_2 0.000000 67700.00

    B_4_8_3_3 0.000000 67700.00

    B_4_8_3_4 0.000000 67700.00

    B_5_8_1_1 1.000000 0.1325305E+10

    B_5_8_1_2 0.000000 427700.0

    B_5_8_1_3 0.000000 427700.0

    B_5_8_1_4 0.000000 427700.0

    B_5_8_2_1 0.000000 -977837.2

    B_5_8_2_2 0.000000 -977837.2

    B_5_8_2_3 0.000000 -977837.2

    B_5_8_2_4 1.000000 0.9990222E+09

    B_5_8_3_1 0.000000 -2530527.

    B_5_8_3_2 0.000000 -2530527.

    B_5_8_3_3 1.000000 0.6725924E+09

    B_5_8_3_4 0.000000 -2530527.

    B_6_8_1_1 1.000000 0.3249297E+09

    B_6_8_1_2 1.000000 0.1000053E+10

    B_6_8_1_3 0.000000 52700.00

    B_6_8_1_4 0.000000 52700.00

    B_6_8_2_1 0.000000 -831690.1

    B_6_8_2_2 0.000000 -831690.1

    B_6_8_2_3 0.000000 -831690.1

    B_6_8_2_4 1.000000 -831690.1

    B_6_8_3_1 0.000000 52700.00

    B_6_8_3_2 0.000000 52700.00

    B_6_8_3_3 1.000000 0.1675176E+10

    B_6_8_3_4 0.000000 52700.00

    B_7_8_1_1 0.000000 217700.0

    B_7_8_1_2 0.000000 217700.0

    B_7_8_1_3 0.000000 217700.0

    B_7_8_1_4 0.000000 217700.0

    B_7_8_2_1 0.000000 217700.0

    B_7_8_2_2 0.000000 217700.0

    B_7_8_2_3 0.000000 217700.0

    B_7_8_2_4 0.000000 217700.0

    B_7_8_3_1 0.000000 217700.0

    B_7_8_3_2 0.000000 217700.0

    B_7_8_3_3 0.000000 217700.0

    B_7_8_3_4 0.000000 217700.0

    T_8_1 23.25244 0.000000

    P_8_1 16001.20 0.000000

    T_8_2 23.25244 0.000000

    P_8_2 13333.33 0.000000

    T_8_3 39.67445 0.000000

    P_8_3 39998.80 0.000000

    T_8_4 30.27097 0.000000

    P_8_4 26666.67 0.000000

    AR_8_1 1.000000 0.000000

    AR_8_2 1.000000 0.000000

    AR_8_3 1.000000 0.000000

    AR_8_4 1.000000 0.000000

    P_7_1 0.000000 0.000000P_7_2 0.000000 0.000000

  • 8/14/2019 Documentation of the Calculations

    25/597

    Documentation of the calculations 25

    P_7_3 0.000000 0.000000

    P_6_1 35000.00 0.000000

    P_6_2 25000.00 0.000000

    P_6_3 24997.74 0.000000

    P_5_1 20002.26 0.000000

    P_5_2 25000.00 0.000000

    P_5_3 25000.00 0.000000P_4_1 0.000000 17.62440

    P_4_2 25000.00 0.000000

    P_4_3 0.000000 17.62440

    P_3_1 49995.49 0.000000

    P_3_2 50000.00 0.000000

    P_2_1 120000.0 0.000000

    P_2_2 50000.00 0.000000

    P_1_1 40004.51 0.000000

    P_1_2 50000.00 0.000000

    TR_1_4_1_1 0.000000 9.513369

    TR_1_4_1_2 0.000000 19.51337

    TR_1_4_1_3 0.000000 9.513369

    TR_1_6_1_1 0.000000 5.669879

    TR_1_6_1_2 0.000000 16.51337

    TR_1_6_1_3 0.000000 15.80775

    TR_1_7_1_1 0.000000 9.513369

    TR_1_7_1_2 0.000000 9.513369

    TR_1_7_1_3 0.000000 9.513369

    TR_1_4_2_1 0.000000 0.000000

    TR_1_4_2_2 0.000000 10.00000

    TR_1_4_2_3 0.000000 0.000000

    TR_1_6_2_1 0.000000 0.000000

    TR_1_6_2_2 0.000000 7.000000

    TR_1_6_2_3 0.000000 6.294386

    TR_1_7_2_1 0.000000 0.000000

    TR_1_7_2_2 0.000000 0.000000

    TR_1_7_2_3 0.000000 0.000000

    TR_2_4_1_1 0.000000 0.000000

    TR_2_4_1_2 0.000000 3.000000

    TR_2_4_1_3 0.000000 0.000000

    TR_2_5_1_1 0.000000 0.000000

    TR_2_5_1_2 0.000000 0.000000

    TR_2_5_1_3 50000.00 0.000000

    TR_2_6_1_1 70000.00 0.000000

    TR_2_6_1_2 0.000000 0.000000

    TR_2_6_1_3 0.000000 0.000000

    TR_2_7_1_1 0.000000 0.000000

    TR_2_7_1_2 0.000000 0.000000

    TR_2_7_1_3 0.000000 0.000000

    TR_2_4_2_1 0.000000 0.000000

    TR_2_4_2_2 0.000000 3.000000

    TR_2_4_2_3 0.000000 0.000000

    TR_2_5_2_1 0.000000 0.000000

    TR_2_5_2_2 0.000000 0.000000

    TR_2_5_2_3 0.000000 0.000000

    TR_2_6_2_1 0.000000 0.000000

    TR_2_6_2_2 50000.00 0.000000

    TR_2_6_2_3 0.000000 0.000000

    TR_2_7_2_1 0.000000 0.000000

    TR_2_7_2_2 0.000000 0.000000

    TR_2_7_2_3 0.000000 0.000000

    TR_3_4_1_1 0.000000 0.000000

    TR_3_4_1_2 0.000000 3.705614TR_3_4_1_3 0.000000 0.000000

  • 8/14/2019 Documentation of the Calculations

    26/597

    Documentation of the calculations 26

    TR_3_5_1_1 0.000000 0.000000

    TR_3_5_1_2 0.000000 0.000000

    TR_3_5_1_3 0.000000 0.7056144

    TR_3_6_1_1 0.000000 0.000000

    TR_3_6_1_2 0.000000 0.7056144

    TR_3_6_1_3 49995.49 0.000000

    TR_3_7_1_1 0.000000 0.000000TR_3_7_1_2 0.000000 0.000000

    TR_3_7_1_3 0.000000 0.000000

    TR_3_4_2_1 0.000000 0.000000

    TR_3_4_2_2 50000.00 0.000000

    TR_3_4_2_3 0.000000 0.000000

    TR_3_5_2_1 0.000000 0.000000

    TR_3_5_2_2 0.000000 0.000000

    TR_3_5_2_3 0.000000 0.000000

    TR_3_6_2_1 0.000000 0.000000

    TR_3_6_2_2 0.000000 0.000000

    TR_3_6_2_3 0.000000 0.000000

    TR_3_7_2_1 0.000000 0.000000

    TR_3_7_2_2 0.000000 0.000000

    TR_3_7_2_3 0.000000 0.000000

    TR_4_8_1_1 0.000000 0.000000

    TR_4_8_1_2 0.000000 0.000000

    TR_4_8_1_3 0.000000 0.000000

    TR_4_8_1_4 0.000000 0.000000

    TR_4_8_2_1 0.000000 0.000000

    TR_4_8_2_2 0.000000 0.000000

    TR_4_8_2_3 25000.00 0.000000

    TR_4_8_2_4 0.000000 0.000000

    TR_4_8_3_1 0.000000 0.000000

    TR_4_8_3_2 0.000000 0.000000

    TR_4_8_3_3 0.000000 0.000000

    TR_4_8_3_4 0.000000 0.000000

    TR_5_8_1_1 20002.26 0.000000

    TR_5_8_1_2 0.000000 0.000000

    TR_5_8_1_3 0.000000 0.000000

    TR_5_8_1_4 0.000000 0.000000

    TR_5_8_2_1 0.000000 0.000000

    TR_5_8_2_2 0.000000 0.000000

    TR_5_8_2_3 0.000000 0.000000

    TR_5_8_2_4 25000.00 0.000000

    TR_5_8_3_1 0.000000 0.000000

    TR_5_8_3_2 0.000000 0.000000

    TR_5_8_3_3 25000.00 0.000000

    TR_5_8_3_4 0.000000 0.000000

    TR_6_8_1_1 10000.00 0.000000

    TR_6_8_1_2 25000.00 0.000000

    TR_6_8_1_3 0.000000 0.000000

    TR_6_8_1_4 0.000000 0.000000

    TR_6_8_2_1 0.000000 0.000000

    TR_6_8_2_2 0.000000 0.000000

    TR_6_8_2_3 0.000000 0.000000

    TR_6_8_2_4 25000.00 0.000000

    TR_6_8_3_1 0.000000 0.000000

    TR_6_8_3_2 0.000000 0.000000

    TR_6_8_3_3 24997.74 0.000000

    TR_6_8_3_4 0.000000 0.000000

    TR_7_8_1_1 0.000000 0.000000

    TR_7_8_1_2 0.000000 0.000000

    TR_7_8_1_3 0.000000 0.000000TR_7_8_1_4 0.000000 0.000000

  • 8/14/2019 Documentation of the Calculations

    27/597

  • 8/14/2019 Documentation of the Calculations

    28/597

    Documentation of the calculations 28

    Scenario No. 2 [Bonus payments: 90,000 US$ for each day of delivery before T=181;no time block interval]

    After a calculation time of 100 hours:

    5 hours and 7 minutes after re-start with the additional constraint that the objectivefunction value is smaller or equal to the best objective function value found after 100

    hours:

  • 8/14/2019 Documentation of the Calculations

    29/597

    Documentation of the calculations 29

    Global optimal solution found.

    Objective value: 0.1626957E+09

    Objective bound: 0.1626957E+09

    Infeasibilities: 0.1912849E-07

    Extended solver steps: 4366389

    Total solver iterations: 195987995

    Variable Value Reduced Cost

    X_1 87295.32 0.000000

    X_2 272704.7 0.000000

    X_3 0.000000 0.000000

    X_4 56702.69 0.000000

    X_5 68647.66 0.000000

    X_6 54649.65 0.000000

    X_7 0.000000 50.13215

    X_8 96000.00 0.000000

    B_1_4_1_1 0.000000 450000.0

    B_1_4_1_2 0.000000 450000.0

    B_1_4_1_3 0.000000 450000.0

    B_1_4_2_1 0.000000 450000.0

    B_1_4_2_2 0.000000 450000.0

    B_1_4_2_3 0.000000 450000.0

    TR_1_5_1_1 37295.32 0.000000

    TR_1_5_1_2 0.000000 9.004636

    TR_1_5_1_3 0.000000 12.66321

    TR_1_5_2_1 0.000000 0.000000

    TR_1_5_2_2 50000.00 0.000000

    TR_1_5_2_3 0.000000 3.658577

    B_1_6_1_1 0.000000 390000.0

    B_1_6_1_2 0.000000 390000.0

    B_1_6_1_3 0.000000 390000.0

    B_1_6_2_1 0.000000 390000.0

    B_1_6_2_2 0.000000 390000.0

    B_1_6_2_3 0.000000 390000.0

    B_1_7_1_1 0.000000 540000.0

    B_1_7_1_2 0.000000 540000.0

    B_1_7_1_3 0.000000 540000.0

    B_1_7_2_1 0.000000 540000.0

    B_1_7_2_2 0.000000 540000.0

    B_1_7_2_3 0.000000 540000.0

    B_2_4_1_1 1.000000 0.6403016E+09

    B_2_4_1_2 0.000000 210000.0

    B_2_4_1_3 0.000000 -8300.381

    B_2_4_2_1 0.000000 -61699.62

    B_2_4_2_2 1.000000 0.1522612E+10

    B_2_4_2_3 0.000000 -280000.0

    B_2_5_1_1 0.000000 -496424.9

    B_2_5_1_2 0.000000 133899.6

    B_2_5_1_3 1.000000 0.9003900E+09

    B_2_5_2_1 0.000000 -768124.5

    B_2_5_2_2 0.000000 -137800.0

    B_2_5_2_3 0.000000 118300.4

    B_2_6_1_1 0.000000 51699.62

    B_2_6_1_2 1.000000 0.1139809E+10

    B_2_6_1_3 0.000000 270000.0

    B_2_6_2_1 0.000000 -220000.0

    B_2_6_2_2 0.000000 -1699.619

    B_2_6_2_3 1.000000 0.1522672E+10

    B_2_7_1_1 0.000000 81699.62B_2_7_1_2 0.000000 81699.62

  • 8/14/2019 Documentation of the Calculations

    30/597

    Documentation of the calculations 30

    B_2_7_1_3 0.000000 81699.62

    B_2_7_2_1 0.000000 -190000.0

    B_2_7_2_2 0.000000 -190000.0

    B_2_7_2_3 0.000000 -190000.0

    B_3_4_1_1 0.000000 840000.0

    B_3_4_1_2 0.000000 840000.0

    B_3_4_1_3 0.000000 840000.0B_3_4_2_1 0.000000 840000.0

    B_3_4_2_2 0.000000 840000.0

    B_3_4_2_3 0.000000 840000.0

    B_3_5_1_1 0.000000 441875.5

    B_3_5_1_2 0.000000 1072200.

    B_3_5_1_3 0.000000 1110000.

    B_3_5_2_1 0.000000 441875.5

    B_3_5_2_2 0.000000 1072200.

    B_3_5_2_3 0.000000 1110000.

    B_3_6_1_1 0.000000 930000.0

    B_3_6_1_2 0.000000 930000.0

    B_3_6_1_3 0.000000 930000.0

    B_3_6_2_1 0.000000 930000.0

    B_3_6_2_2 0.000000 930000.0

    B_3_6_2_3 0.000000 930000.0

    B_3_7_1_1 0.000000 960000.0

    B_3_7_1_2 0.000000 960000.0

    B_3_7_1_3 0.000000 960000.0

    B_3_7_2_1 0.000000 960000.0

    B_3_7_2_2 0.000000 960000.0

    B_3_7_2_3 0.000000 960000.0

    B_4_8_1_1 0.000000 67700.00

    B_4_8_1_2 1.000000 0.2396064E+09

    B_4_8_1_3 0.000000 67700.00

    B_4_8_1_4 1.000000 0.4006206E+09

    B_4_8_2_1 1.000000 0.1521728E+10

    B_4_8_2_2 0.000000 -674118.0

    B_4_8_2_3 0.000000 -674118.0

    B_4_8_2_4 0.000000 -674118.0

    B_4_8_3_1 0.000000 67700.00

    B_4_8_3_2 0.000000 67700.00

    B_4_8_3_3 0.000000 67700.00

    B_4_8_3_4 0.000000 67700.00

    B_5_8_1_1 0.000000 427700.0

    B_5_8_1_2 0.000000 427700.0

    B_5_8_1_3 0.000000 427700.0

    B_5_8_1_4 1.000000 0.1300981E+10

    B_5_8_2_1 1.000000 0.8990647E+09

    B_5_8_2_2 0.000000 -935328.6

    B_5_8_2_3 0.000000 -935328.6

    B_5_8_2_4 0.000000 -935328.6

    B_5_8_3_1 0.000000 -1118257.

    B_5_8_3_2 0.000000 -1118257.

    B_5_8_3_3 1.000000 0.8988817E+09

    B_5_8_3_4 0.000000 -1118257.

    B_6_8_1_1 0.000000 52700.00

    B_6_8_1_2 0.000000 52700.00

    B_6_8_1_3 0.000000 52700.00

    B_6_8_1_4 0.000000 52700.00

    B_6_8_2_1 0.000000 52700.00

    B_6_8_2_2 1.000000 0.1139591E+10

    B_6_8_2_3 0.000000 52700.00

    B_6_8_2_4 1.000000 52700.00B_6_8_3_1 1.000000 0.1522455E+10

  • 8/14/2019 Documentation of the Calculations

    31/597

    Documentation of the calculations 31

    B_6_8_3_2 0.000000 52700.00

    B_6_8_3_3 0.000000 52700.00

    B_6_8_3_4 0.000000 52700.00

    B_7_8_1_1 0.000000 217700.0

    B_7_8_1_2 0.000000 217700.0

    B_7_8_1_3 0.000000 217700.0

    B_7_8_1_4 0.000000 217700.0B_7_8_2_1 0.000000 217700.0

    B_7_8_2_2 0.000000 217700.0

    B_7_8_2_3 0.000000 217700.0

    B_7_8_2_4 0.000000 217700.0

    B_7_8_3_1 0.000000 217700.0

    B_7_8_3_2 0.000000 217700.0

    B_7_8_3_3 0.000000 217700.0

    B_7_8_3_4 0.000000 217700.0

    T_8_1 29.77981 0.000000

    P_8_1 39050.84 0.000000

    T_8_2 22.76129 0.000000

    P_8_2 26666.67 0.000000

    T_8_3 39.90728 0.000000

    P_8_3 13333.33 0.000000

    T_8_4 22.76129 0.000000

    P_8_4 16949.16 0.000000

    AR_8_1 1.000000 0.000000

    AR_8_2 1.000000 0.000000

    AR_8_3 1.000000 0.000000

    AR_8_4 1.000000 0.000000

    P_7_1 0.000000 0.000000

    P_7_2 0.000000 0.000000

    P_7_3 0.000000 0.000000

    P_6_1 0.000000 0.000000

    P_6_2 31429.33 0.000000

    P_6_3 23220.33 0.000000

    P_5_1 18647.66 0.000000

    P_5_2 25000.00 0.000000

    P_5_3 25000.00 0.000000

    P_4_1 31702.69 0.000000

    P_4_2 25000.00 0.000000

    P_4_3 0.000000 22.13215

    P_3_1 0.000000 0.000000

    P_3_2 0.000000 0.000000

    P_2_1 176264.0 0.000000

    P_2_2 96440.65 0.000000

    P_1_1 37295.32 0.000000

    P_1_2 50000.00 0.000000

    TR_1_4_1_1 0.000000 12.12321

    TR_1_4_1_2 0.000000 16.00464

    TR_1_4_1_3 0.000000 9.004636

    TR_1_6_1_1 0.000000 9.004636

    TR_1_6_1_2 0.000000 12.12321

    TR_1_6_1_3 0.000000 16.00464

    TR_1_7_1_1 0.000000 9.004636

    TR_1_7_1_2 0.000000 9.004636

    TR_1_7_1_3 0.000000 9.004636

    TR_1_4_2_1 0.000000 3.118577

    TR_1_4_2_2 0.000000 7.000000

    TR_1_4_2_3 0.000000 0.000000

    TR_1_6_2_1 0.000000 0.000000

    TR_1_6_2_2 0.000000 3.118577

    TR_1_6_2_3 0.000000 7.000000TR_1_7_2_1 0.000000 0.000000

  • 8/14/2019 Documentation of the Calculations

    32/597

    Documentation of the calculations 32

    TR_1_7_2_2 0.000000 0.000000

    TR_1_7_2_3 0.000000 0.000000

    TR_2_4_1_1 63405.37 0.000000

    TR_2_4_1_2 0.000000 3.881423

    TR_2_4_1_3 0.000000 0.000000

    TR_2_5_1_1 0.000000 0.000000

    TR_2_5_1_2 0.000000 0.000000TR_2_5_1_3 50000.00 0.000000

    TR_2_6_1_1 0.000000 0.000000

    TR_2_6_1_2 62858.65 0.000000

    TR_2_6_1_3 0.000000 3.881423

    TR_2_7_1_1 0.000000 0.000000

    TR_2_7_1_2 0.000000 0.000000

    TR_2_7_1_3 0.000000 0.000000

    TR_2_4_2_1 0.000000 0.000000

    TR_2_4_2_2 50000.00 0.000000

    TR_2_4_2_3 0.000000 0.000000

    TR_2_5_2_1 0.000000 0.000000

    TR_2_5_2_2 0.000000 0.000000

    TR_2_5_2_3 0.000000 0.000000

    TR_2_6_2_1 0.000000 0.000000

    TR_2_6_2_2 0.000000 0.000000

    TR_2_6_2_3 46440.65 0.000000

    TR_2_7_2_1 0.000000 0.000000

    TR_2_7_2_2 0.000000 0.000000

    TR_2_7_2_3 0.000000 0.000000

    TR_3_4_1_1 0.000000 3.118577

    TR_3_4_1_2 0.000000 7.000000

    TR_3_4_1_3 0.000000 0.000000

    TR_3_5_1_1 0.000000 0.000000

    TR_3_5_1_2 0.000000 0.000000

    TR_3_5_1_3 0.000000 3.118577

    TR_3_6_1_1 0.000000 0.000000

    TR_3_6_1_2 0.000000 3.118577

    TR_3_6_1_3 0.000000 7.000000

    TR_3_7_1_1 0.000000 0.000000

    TR_3_7_1_2 0.000000 0.000000

    TR_3_7_1_3 0.000000 0.000000

    TR_3_4_2_1 0.000000 3.118577

    TR_3_4_2_2 0.000000 7.000000

    TR_3_4_2_3 0.000000 0.000000

    TR_3_5_2_1 0.000000 0.000000

    TR_3_5_2_2 0.000000 0.000000

    TR_3_5_2_3 0.000000 3.118577

    TR_3_6_2_1 0.000000 0.000000

    TR_3_6_2_2 0.000000 3.118577

    TR_3_6_2_3 0.000000 7.000000

    TR_3_7_2_1 0.000000 0.000000

    TR_3_7_2_2 0.000000 0.000000

    TR_3_7_2_3 0.000000 0.000000

    TR_4_8_1_1 0.000000 0.000000

    TR_4_8_1_2 25000.00 0.000000

    TR_4_8_1_3 0.000000 0.000000

    TR_4_8_1_4 6702.686 0.000000

    TR_4_8_2_1 25000.00 0.000000

    TR_4_8_2_2 0.000000 0.000000

    TR_4_8_2_3 0.000000 0.000000

    TR_4_8_2_4 0.000000 0.000000

    TR_4_8_3_1 0.000000 0.000000

    TR_4_8_3_2 0.000000 0.000000TR_4_8_3_3 0.000000 0.000000

  • 8/14/2019 Documentation of the Calculations

    33/597

    Documentation of the calculations 33

    TR_4_8_3_4 0.000000 0.000000

    TR_5_8_1_1 0.000000 0.000000

    TR_5_8_1_2 0.000000 0.000000

    TR_5_8_1_3 0.000000 0.000000

    TR_5_8_1_4 18647.66 0.000000

    TR_5_8_2_1 25000.00 0.000000

    TR_5_8_2_2 0.000000 0.000000TR_5_8_2_3 0.000000 0.000000

    TR_5_8_2_4 0.000000 0.000000

    TR_5_8_3_1 0.000000 0.000000

    TR_5_8_3_2 0.000000 0.000000

    TR_5_8_3_3 25000.00 0.000000

    TR_5_8_3_4 0.000000 0.000000

    TR_6_8_1_1 0.000000 0.000000

    TR_6_8_1_2 0.000000 0.000000

    TR_6_8_1_3 0.000000 0.000000

    TR_6_8_1_4 0.000000 0.000000

    TR_6_8_2_1 0.000000 0.000000

    TR_6_8_2_2 25000.00 0.000000

    TR_6_8_2_3 0.000000 0.000000

    TR_6_8_2_4 6429.327 0.000000

    TR_6_8_3_1 23220.33 0.000000

    TR_6_8_3_2 0.000000 0.000000

    TR_6_8_3_3 0.000000 0.000000

    TR_6_8_3_4 0.000000 0.000000

    TR_7_8_1_1 0.000000 0.000000

    TR_7_8_1_2 0.000000 0.000000

    TR_7_8_1_3 0.000000 0.000000

    TR_7_8_1_4 0.000000 0.000000

    TR_7_8_2_1 0.000000 0.000000

    TR_7_8_2_2 0.000000 0.000000

    TR_7_8_2_3 0.000000 0.000000

    TR_7_8_2_4 0.000000 0.000000

    TR_7_8_3_1 0.000000 0.000000

    TR_7_8_3_2 0.000000 0.000000

    TR_7_8_3_3 0.000000 0.000000

    TR_7_8_3_4 0.000000 0.000000

    PR_1 1.000000 0.000000

    PR_2 1.000000 0.000000

    PR_3 0.000000 -3600000.

    PR_4 1.000000 0.000000

    PR_5 1.000000 0.000000

    PR_6 1.000000 0.000000

    PR_7 0.000000 0.000000

    AR_4_1 1.000000 0.000000

    AR_4_2 1.000000 0.000000

    AR_4_3 0.000000 0.000000

    AR_5_1 1.000000 0.000000

    AR_5_2 1.000000 0.000000

    AR_5_3 1.000000 0.000000

    AR_6_1 0.000000 -3036213.

    AR_6_2 1.000000 0.000000

    AR_6_3 1.000000 0.000000

    AR_7_1 0.000000 0.000000

    AR_7_2 0.000000 0.000000

    AR_7_3 0.000000 0.000000

    AR_1_1 1.000000 0.000000

    AR_1_2 1.000000 0.000000

    AR_2_1 1.000000 0.000000

    AR_2_2 1.000000 0.000000AR_3_1 0.000000 0.000000

  • 8/14/2019 Documentation of the Calculations

    34/597

    Documentation of the calculations 34

    AR_3_2 0.000000 0.000000

    B_1_5_1_1 1.000000 0.2200553E+10

    B_1_5_1_2 0.000000 0.000000

    B_1_5_1_3 0.000000 0.000000

    B_1_5_2_1 0.000000 -630324.5

    B_1_5_2_2 1.000000 0.000000

    B_1_5_2_3 0.000000 0.000000T_1_1 0.000000 220055.3

    T_1_2 4.715292 0.000000

    T_2_1 0.000000 139944.7

    T_2_2 10.89690 0.000000

    T_3_1 9965.526 0.000000

    T_3_2 9965.526 0.000000

    T_4_1 11.88875 0.000000

    T_4_2 20.57172 0.000000

    T_4_3 26.77981 0.000000

    T_5_1 2.526120 0.000000

    T_5_2 7.761286 0.000000

    T_5_3 17.88875 0.000000

    T_6_1 0.000000 0.000000

    T_6_2 13.88875 0.000000

    T_6_3 22.57172 0.000000

    T_7_1 0.000000 0.000000

    T_7_2 0.000000 0.000000

    T_7_3 0.000000 0.000000

  • 8/14/2019 Documentation of the Calculations

    35/597

    Documentation of the calculations 35

    Scenario No. 3 [Bonus payments: 80,000 US$ for each day of delivery before T=181;no time block interval]

    Global optimal solution found.

    Objective value: 0.1663656E+09

    Objective bound: 0.1663656E+09

    Infeasibilities: 0.4351023E-08

    Extended solver steps: 6751446Total solver iterations: 406514344

    Variable Value Reduced Cost

    X_1 90007.59 0.000000

    X_2 170000.0 0.000000

    X_3 99992.41 0.000000

    X_4 24996.21 0.000000

    X_5 70003.79 0.000000

    X_6 85000.00 0.000000

    X_7 0.000000 131.0000

    X_8 96000.00 0.000000

    B_1_4_1_1 0.000000 -1807831.B_1_4_1_2 0.000000 450000.0

    B_1_4_1_3 0.000000 -1807831.

    B_1_4_2_1 0.000000 -2455000.

    B_1_4_2_2 0.000000 450000.0

    B_1_4_2_3 0.000000 -2455000.

    TR_1_5_1_1 40007.59 0.000000

    TR_1_5_1_2 0.000000 9.245265

    TR_1_5_1_3 0.000000 16.78526

    TR_1_5_2_1 0.000000 0.000000

    TR_1_5_2_2 50000.00 0.000000

    TR_1_5_2_3 0.000000 7.540000

    B_1_6_1_1 0.000000 390000.0

    B_1_6_1_2 0.000000 390000.0B_1_6_1_3 0.000000 390000.0

    B_1_6_2_1 0.000000 -175193.1

  • 8/14/2019 Documentation of the Calculations

    36/597

    Documentation of the calculations 36

    B_1_6_2_2 0.000000 390000.0

    B_1_6_2_3 0.000000 390000.0

    B_1_7_1_1 0.000000 -1717831.

    B_1_7_1_2 0.000000 -1717831.

    B_1_7_1_3 0.000000 -1717831.

    B_1_7_2_1 0.000000 -2365000.

    B_1_7_2_2 0.000000 -2365000.B_1_7_2_3 0.000000 -2365000.

    B_2_4_1_1 0.000000 -3185000.

    B_2_4_1_2 0.000000 210000.0

    B_2_4_1_3 0.000000 -3185000.

    B_2_4_2_1 0.000000 -3185000.

    B_2_4_2_2 0.000000 210000.0

    B_2_4_2_3 0.000000 -3185000.

    B_2_5_1_1 0.000000 -784968.5

    B_2_5_1_2 0.000000 -137800.0

    B_2_5_1_3 1.000000 0.1410322E+09

    B_2_5_2_1 0.000000 -784968.5

    B_2_5_2_2 0.000000 -137800.0

    B_2_5_2_3 0.000000 390000.0

    B_2_6_1_1 1.000000 0.1398571E+09

    B_2_6_1_2 0.000000 270000.0

    B_2_6_1_3 0.000000 270000.0

    B_2_6_2_1 0.000000 -785193.1

    B_2_6_2_2 1.000000 270000.0

    B_2_6_2_3 0.000000 270000.0

    B_2_7_1_1 0.000000 -3095000.

    B_2_7_1_2 0.000000 -3095000.

    B_2_7_1_3 0.000000 -3095000.

    B_2_7_2_1 0.000000 -3095000.

    B_2_7_2_2 0.000000 -3095000.

    B_2_7_2_3 0.000000 -3095000.

    B_3_4_1_1 0.000000 -2619341.

    B_3_4_1_2 0.000000 840000.0

    B_3_4_1_3 0.000000 -2619341.

    B_3_4_2_1 0.000000 -2765000.

    B_3_4_2_2 1.000000 840000.0

    B_3_4_2_3 0.000000 -2765000.

    B_3_5_1_1 0.000000 -129309.9

    B_3_5_1_2 0.000000 517858.6

    B_3_5_1_3 0.000000 1045659.

    B_3_5_2_1 0.000000 -274968.5

    B_3_5_2_2 0.000000 372200.0

    B_3_5_2_3 0.000000 900000.0

    B_3_6_1_1 0.000000 -189534.5

    B_3_6_1_2 0.000000 865658.6

    B_3_6_1_3 1.000000 0.9415722E+09

    B_3_6_2_1 0.000000 -335193.1

    B_3_6_2_2 0.000000 720000.0

    B_3_6_2_3 0.000000 784341.4

    B_3_7_1_1 0.000000 -2499341.

    B_3_7_1_2 0.000000 -2499341.

    B_3_7_1_3 0.000000 -2499341.

    B_3_7_2_1 0.000000 -2645000.

    B_3_7_2_2 0.000000 -2645000.

    B_3_7_2_3 0.000000 -2645000.

    B_4_8_1_1 0.000000 67700.00

    B_4_8_1_2 0.000000 67700.00

    B_4_8_1_3 0.000000 67700.00

    B_4_8_1_4 0.000000 67700.00B_4_8_2_1 1.000000 67700.00

  • 8/14/2019 Documentation of the Calculations

    37/597

    Documentation of the calculations 37

    B_4_8_2_2 0.000000 67700.00

    B_4_8_2_3 0.000000 67700.00

    B_4_8_2_4 0.000000 67700.00

    B_4_8_3_1 0.000000 67700.00

    B_4_8_3_2 0.000000 67700.00

    B_4_8_3_3 0.000000 67700.00

    B_4_8_3_4 0.000000 67700.00B_5_8_1_1 0.000000 427700.0

    B_5_8_1_2 1.000000 0.1459785E+10

    B_5_8_1_3 0.000000 427700.0

    B_5_8_1_4 0.000000 427700.0

    B_5_8_2_1 0.000000 -1058818.

    B_5_8_2_2 0.000000 -1058818.

    B_5_8_2_3 1.000000 0.7989412E+09

    B_5_8_2_4 0.000000 -1058818.

    B_5_8_3_1 1.000000 0.1385462E+09

    B_5_8_3_2 0.000000 -2096010.

    B_5_8_3_3 0.000000 -2096010.

    B_5_8_3_4 0.000000 -2096010.

    B_6_8_1_1 0.000000 52700.00

    B_6_8_1_2 1.000000 0.6594105E+09

    B_6_8_1_3 0.000000 52700.00

    B_6_8_1_4 1.000000 0.8000527E+09

    B_6_8_2_1 0.000000 -772300.0

    B_6_8_2_2 0.000000 -772300.0

    B_6_8_2_3 1.000000 -772300.0

    B_6_8_2_4 0.000000 -772300.0

    B_6_8_3_1 1.000000 0.9403008E+09

    B_6_8_3_2 0.000000 -341452.5

    B_6_8_3_3 0.000000 -341452.5

    B_6_8_3_4 0.000000 -341452.5

    B_7_8_1_1 0.000000 217700.0

    B_7_8_1_2 0.000000 217700.0

    B_7_8_1_3 0.000000 217700.0

    B_7_8_1_4 0.000000 217700.0

    B_7_8_2_1 0.000000 217700.0

    B_7_8_2_2 0.000000 217700.0

    B_7_8_2_3 0.000000 217700.0

    B_7_8_2_4 0.000000 217700.0

    B_7_8_3_1 0.000000 217700.0

    B_7_8_3_2 0.000000 217700.0

    B_7_8_3_3 0.000000 217700.0

    B_7_8_3_4 0.000000 217700.0

    T_8_1 39.67501 0.000000

    P_8_1 39997.98 0.000000

    T_8_2 23.25299 0.000000

    P_8_2 21335.36 0.000000

    T_8_3 30.27152 0.000000

    P_8_3 26666.67 0.000000

    T_8_4 23.25299 0.000000

    P_8_4 8000.000 0.000000

    AR_8_1 1.000000 0.000000

    AR_8_2 1.000000 0.000000

    AR_8_3 1.000000 0.000000

    AR_8_4 1.000000 0.000000

    P_7_1 0.000000 0.000000

    P_7_2 0.000000 0.000000

    P_7_3 0.000000 0.000000

    P_6_1 35000.00 0.000000

    P_6_2 25000.00 0.000000P_6_3 25000.00 0.000000

  • 8/14/2019 Documentation of the Calculations

    38/597

    Documentation of the calculations 38

    P_5_1 20003.79 0.000000

    P_5_2 25000.00 0.000000

    P_5_3 25000.00 0.000000

    P_4_1 0.000000 103.0000

    P_4_2 24996.21 0.000000

    P_4_3 0.000000 103.0000

    P_3_1 50000.00 0.000000P_3_2 49992.41 0.000000

    P_2_1 120000.0 0.000000

    P_2_2 50000.00 0.000000

    P_1_1 40007.59 0.000000

    P_1_2 50000.00 0.000000

    TR_1_4_1_1 0.000000 0.000000

    TR_1_4_1_2 0.000000 19.24526

    TR_1_4_1_3 0.000000 0.000000

    TR_1_6_1_1 0.000000 1.171078

    TR_1_6_1_2 0.000000 16.24526

    TR_1_6_1_3 0.000000 17.16443

    TR_1_7_1_1 0.000000 0.000000

    TR_1_7_1_2 0.000000 0.000000

    TR_1_7_1_3 0.000000 0.000000

    TR_1_4_2_1 0.000000 0.000000

    TR_1_4_2_2 0.000000 10.00000

    TR_1_4_2_3 0.000000 0.000000

    TR_1_6_2_1 0.000000 0.000000

    TR_1_6_2_2 0.000000 7.000000

    TR_1_6_2_3 0.000000 7.919163

    TR_1_7_2_1 0.000000 0.000000

    TR_1_7_2_2 0.000000 0.000000

    TR_1_7_2_3 0.000000 0.000000

    TR_2_4_1_1 0.000000 0.000000

    TR_2_4_1_2 0.000000 3.000000

    TR_2_4_1_3 0.000000 0.000000

    TR_2_5_1_1 0.000000 0.000000

    TR_2_5_1_2 0.000000 0.000000

    TR_2_5_1_3 50000.00 0.000000

    TR_2_6_1_1 70000.00 0.000000

    TR_2_6_1_2 0.000000 0.000000

    TR_2_6_1_3 0.000000 0.9191633

    TR_2_7_1_1 0.000000 0.000000

    TR_2_7_1_2 0.000000 0.000000

    TR_2_7_1_3 0.000000 0.000000

    TR_2_4_2_1 0.000000 0.000000

    TR_2_4_2_2 0.000000 3.000000

    TR_2_4_2_3 0.000000 0.000000

    TR_2_5_2_1 0.000000 0.000000

    TR_2_5_2_2 0.000000 0.000000

    TR_2_5_2_3 0.000000 0.000000

    TR_2_6_2_1 0.000000 0.000000

    TR_2_6_2_2 50000.00 0.000000

    TR_2_6_2_3 0.000000 0.9191633

    TR_2_7_2_1 0.000000 0.000000

    TR_2_7_2_2 0.000000 0.000000

    TR_2_7_2_3 0.000000 0.000000

    TR_3_4_1_1 0.000000 0.000000

    TR_3_4_1_2 0.000000 2.080837

    TR_3_4_1_3 0.000000 0.000000

    TR_3_5_1_1 0.000000 0.000000

    TR_3_5_1_2 0.000000 0.000000

    TR_3_5_1_3 0.000000 0.000000TR_3_6_1_1 0.000000 0.000000

  • 8/14/2019 Documentation of the Calculations

    39/597

    Documentation of the calculations 39

    TR_3_6_1_2 0.000000 0.000000

    TR_3_6_1_3 50000.00 0.000000

    TR_3_7_1_1 0.000000 0.000000

    TR_3_7_1_2 0.000000 0.000000

    TR_3_7_1_3 0.000000 0.000000

    TR_3_4_2_1 0.000000 0.000000

    TR_3_4_2_2 49992.41 0.000000TR_3_4_2_3 0.000000 0.000000

    TR_3_5_2_1 0.000000 0.000000

    TR_3_5_2_2 0.000000 0.000000

    TR_3_5_2_3 0.000000 0.000000

    TR_3_6_2_1 0.000000 0.000000

    TR_3_6_2_2 0.000000 0.000000

    TR_3_6_2_3 0.000000 0.000000

    TR_3_7_2_1 0.000000 0.000000

    TR_3_7_2_2 0.000000 0.000000

    TR_3_7_2_3 0.000000 0.000000

    TR_4_8_1_1 0.000000 0.000000

    TR_4_8_1_2 0.000000 0.000000

    TR_4_8_1_3 0.000000 0.000000

    TR_4_8_1_4 0.000000 0.000000

    TR_4_8_2_1 24996.21 0.000000

    TR_4_8_2_2 0.000000 0.000000

    TR_4_8_2_3 0.000000 0.000000

    TR_4_8_2_4 0.000000 0.000000

    TR_4_8_3_1 0.000000 0.000000

    TR_4_8_3_2 0.000000 0.000000

    TR_4_8_3_3 0.000000 0.000000

    TR_4_8_3_4 0.000000 0.000000

    TR_5_8_1_1 0.000000 0.000000

    TR_5_8_1_2 20003.79 0.000000

    TR_5_8_1_3 0.000000 0.000000

    TR_5_8_1_4 0.000000 0.000000

    TR_5_8_2_1 0.000000 0.000000

    TR_5_8_2_2 0.000000 0.000000

    TR_5_8_2_3 25000.00 0.000000

    TR_5_8_2_4 0.000000 0.000000

    TR_5_8_3_1 25000.00 0.000000

    TR_5_8_3_2 0.000000 0.000000

    TR_5_8_3_3 0.000000 0.000000

    TR_5_8_3_4 0.000000 0.000000

    TR_6_8_1_1 0.000000 0.000000

    TR_6_8_1_2 20000.00 0.000000

    TR_6_8_1_3 0.000000 0.000000

    TR_6_8_1_4 15000.00 0.000000

    TR_6_8_2_1 0.000000 0.000000

    TR_6_8_2_2 0.000000 0.000000

    TR_6_8_2_3 25000.00 0.000000

    TR_6_8_2_4 0.000000 0.000000

    TR_6_8_3_1 25000.00 0.000000

    TR_6_8_3_2 0.000000 0.000000

    TR_6_8_3_3 0.000000 0.000000

    TR_6_8_3_4 0.000000 0.000000

    TR_7_8_1_1 0.000000 0.000000

    TR_7_8_1_2 0.000000 0.000000

    TR_7_8_1_3 0.000000 0.000000

    TR_7_8_1_4 0.000000 0.000000

    TR_7_8_2_1 0.000000 0.000000

    TR_7_8_2_2 0.000000 0.000000

    TR_7_8_2_3 0.000000 0.000000TR_7_8_2_4 0.000000 0.000000

  • 8/14/2019 Documentation of the Calculations

    40/597

    Documentation of the calculations 40

    TR_7_8_3_1 0.000000 0.000000

    TR_7_8_3_2 0.000000 0.000000

    TR_7_8_3_3 0.000000 0.000000

    TR_7_8_3_4 0.000000 0.000000

    PR_1 1.000000 0.000000

    PR_2 1.000000 0.000000

    PR_3 1.000000 0.000000PR_4 1.000000 0.000000

    PR_5 1.000000 0.000000

    PR_6 1.000000 0.000000

    PR_7 0.000000 0.000000

    AR_4_1 0.000000 0.000000

    AR_4_2 1.000000 0.000000

    AR_4_3 0.000000 0.000000

    AR_5_1 1.000000 0.000000

    AR_5_2 1.000000 0.000000

    AR_5_3 1.000000 0.000000

    AR_6_1 1.000000 0.000000

    AR_6_2 1.000000 0.000000

    AR_6_3 1.000000 0.000000

    AR_7_1 0.000000 0.000000

    AR_7_2 0.000000 0.000000

    AR_7_3 0.000000 0.000000

    AR_1_1 1.000000 0.000000

    AR_1_2 1.000000 0.000000

    AR_2_1 1.000000 0.000000

    AR_2_2 1.000000 0.000000

    AR_3_1 1.000000 0.000000

    AR_3_2 1.000000 0.000000

    B_1_5_1_1 1.000000 0.2259358E+10

    B_1_5_1_2 0.000000 0.000000

    B_1_5_1_3 0.000000 0.000000

    B_1_5_2_1 0.000000 -647168.5

    B_1_5_2_2 1.000000 0.000000

    B_1_5_2_3 0.000000 0.000000

    T_1_1 0.000000 225935.8

    T_1_2 5.207000 0.000000

    T_2_1 1.328232 0.000000

    T_2_2 12.31581 0.000000

    T_3_1 0.000000 94064.22

    T_3_2 1.361952 0.000000

    T_4_1 0.000000 0.000000

    T_4_2 30.46786 0.000000

    T_4_3 36.67501 0.000000

    T_5_1 2.637106 0.000000

    T_5_2 8.252994 0.000000

    T_5_3 17.65648 0.000000

    T_6_1 13.65648 0.000000

    T_6_2 22.70258 0.000000

    T_6_3 32.10607 0.000000

    T_7_1 0.000000 0.000000

    T_7_2 0.000000 0.000000

    T_7_3 0.000000 0.000000

  • 8/14/2019 Documentation of the Calculations

    41/597

  • 8/14/2019 Documentation of the Calculations

    42/597

    Documentation of the calculations 42

    Global optimal solution found.

    Objective value: 0.1702592E+09

    Objective bound: 0.1702592E+09

    Infeasibilities: 0.1373453E-06

    Extended solver steps: 13916436

    Total solver iterations: 619636545

    Variable Value Reduced Cost

    X_1 90000.01 0.000000

    X_2 170000.0 0.000000

    X_3 99999.99 0.000000

    X_4 25000.00 0.000000

    X_5 70000.00 0.000000

    X_6 85000.00 0.000000

    X_7 0.000000 8.448476

    X_8 96000.00 0.000000

    B_1_4_1_1 0.000000 450000.0

    B_1_4_1_2 0.000000 450000.0

    B_1_4_1_3 0.000000 450000.0

    B_1_4_2_1 0.000000 450000.0

    B_1_4_2_2 0.000000 450000.0

    B_1_4_2_3 0.000000 450000.0

    TR_1_5_1_1 40000.01 0.000000

    TR_1_5_1_2 0.000000 11.45180

    TR_1_5_1_3 0.000000 18.99180

    TR_1_5_2_1 0.000000 0.000000

    TR_1_5_2_2 50000.00 0.000000

    TR_1_5_2_3 0.000000 7.540000

    B_1_6_1_1 0.000000 -653432.8

    B_1_6_1_2 0.000000 390000.0

    B_1_6_1_3 0.000000 390000.0

    B_1_6_2_1 0.000000 -1455058.

    B_1_6_2_2 0.000000 390000.0

    B_1_6_2_3 0.000000 390000.0

    B_1_7_1_1 0.000000 540000.0

    B_1_7_1_2 0.000000 540000.0

    B_1_7_1_3 0.000000 540000.0

    B_1_7_2_1 0.000000 540000.0

    B_1_7_2_2 0.000000 540000.0

    B_1_7_2_3 0.000000 540000.0

    B_2_4_1_1 0.000000 210000.0

    B_2_4_1_2 0.000000 210000.0

    B_2_4_1_3 0.000000 210000.0

    B_2_4_2_1 0.000000 210000.0

    B_2_4_2_2 0.000000 210000.0

    B_2_4_2_3 0.000000 210000.0

    B_2_5_1_1 0.000000 -939425.7

    B_2_5_1_2 0.000000 -137800.0

    B_2_5_1_3 1.000000 0.6989798E+09

    B_2_5_2_1 0.000000 -939425.7

    B_2_5_2_2 0.000000 -137800.0

    B_2_5_2_3 0.000000 390000.0

    B_2_6_1_1 1.000000 0.6965247E+09

    B_2_6_1_2 0.000000 270000.0

    B_2_6_1_3 0.000000 270000.0

    B_2_6_2_1 0.000000 -2065058.

    B_2_6_2_2 1.000000 270000.0

    B_2_6_2_3 0.000000 270000.0

    B_2_7_1_1 0.000000 300000.0B_2_7_1_2 0.000000 300000.0

  • 8/14/2019 Documentation of the Calculations

    43/597

    Documentation of the calculations 43

    B_2_7_1_3 0.000000 300000.0

    B_2_7_2_1 0.000000 300000.0

    B_2_7_2_2 0.000000 300000.0

    B_2_7_2_3 0.000000 300000.0

    B_3_4_1_1 0.000000 840000.0

    B_3_4_1_2 0.000000 840000.0

    B_3_4_1_3 0.000000 840000.0B_3_4_2_1 1.000000 840000.0

    B_3_4_2_2 0.000000 840000.0

    B_3_4_2_3 0.000000 840000.0

    B_3_5_1_1 0.000000 -429207.3

    B_3_5_1_2 0.000000 372418.4

    B_3_5_1_3 0.000000 900218.4

    B_3_5_2_1 0.000000 -429425.7

    B_3_5_2_2 0.000000 372200.0

    B_3_5_2_3 0.000000 900000.0

    B_3_6_1_1 0.000000 -1614840.

    B_3_6_1_2 0.000000 720218.4

    B_3_6_1_3 1.000000 2340217.

    B_3_6_2_1 0.000000 -1615058.

    B_3_6_2_2 0.000000 720000.0

    B_3_6_2_3 0.000000 929781.6

    B_3_7_1_1 0.000000 960000.0

    B_3_7_1_2 0.000000 960000.0

    B_3_7_1_3 0.000000 960000.0

    B_3_7_2_1 0.000000 960000.0

    B_3_7_2_2 0.000000 960000.0

    B_3_7_2_3 0.000000 960000.0

    B_4_8_1_1 0.000000 -421088.1

    B_4_8_1_2 1.000000 -421088.1

    B_4_8_1_3 0.000000 -421088.1

    B_4_8_1_4 0.000000 -421088.1

    B_4_8_2_1 0.000000 67700.00

    B_4_8_2_2 0.000000 67700.00

    B_4_8_2_3 0.000000 67700.00

    B_4_8_2_4 0.000000 67700.00

    B_4_8_3_1 0.000000 67700.00

    B_4_8_3_2 0.000000 67700.00

    B_4_8_3_3 0.000000 67700.00

    B_4_8_3_4 0.000000 67700.00

    B_5_8_1_1 0.000000 427700.0

    B_5_8_1_2 0.000000 427700.0

    B_5_8_1_3 0.000000 427700.0

    B_5_8_1_4 1.000000 0.2099017E+10

    B_5_8_2_1 0.000000 -1617791.

    B_5_8_2_2 0.000000 -1617791.

    B_5_8_2_3 1.000000 0.6983822E+09

    B_5_8_2_4 0.000000 -1617791.

    B_5_8_3_1 0.000000 -1995781.

    B_5_8_3_2 1.000000 0.6965940E+09

    B_5_8_3_3 0.000000 -1995781.

    B_5_8_3_4 0.000000 -1995781.

    B_6_8_1_1 1.000000 0.7000527E+09

    B_6_8_1_2 0.000000 52700.00

    B_6_8_1_3 0.000000 52700.00

    B_6_8_1_4 1.000000 0.1398642E+10

    B_6_8_2_1 0.000000 -1261088.

    B_6_8_2_2 0.000000 -1261088.

    B_6_8_2_3 1.000000 -1261088.

    B_6_8_2_4 0.000000 -1261088.B_6_8_3_1 0.000000 -1410217.

  • 8/14/2019 Documentation of the Calculations

    44/597

    Documentation of the calculations 44

    B_6_8_3_2 0.9999999 0.000000

    B_6_8_3_3 0.000000 -1410217.

    B_6_8_3_4 0.000000 -1410217.

    B_7_8_1_1 0.000000 217700.0

    B_7_8_1_2 0.000000 217700.0

    B_7_8_1_3 0.000000 217700.0

    B_7_8_1_4 0.000000 217700.0B_7_8_2_1 0.000000 217700.0

    B_7_8_2_2 0.000000 217700.0

    B_7_8_2_3 0.000000 217700.0

    B_7_8_2_4 0.000000 217700.0

    B_7_8_3_1 0.000000 217700.0

    B_7_8_3_2 0.000000 217700.0

    B_7_8_3_3 0.000000 217700.0

    B_7_8_3_4 0.000000 217700.0

    T_8_1 23.25162 0.000000

    P_8_1 13333.33 0.000000

    T_8_2 39.67364 0.000000

    P_8_2 40000.00 0.000000

    T_8_3 30.27015 0.000000

    P_8_3 26666.67 0.000000

    T_8_4 23.25162 0.000000

    P_8_4 16000.00 0.000000

    AR_8_1 1.000000 0.000000

    AR_8_2 1.000000 0.000000

    AR_8_3 1.000000 0.000000

    AR_8_4 1.000000 0.000000

    P_7_1 0.000000 0.000000

    P_7_2 0.000000 0.000000

    P_7_3 0.000000 0.000000

    P_6_1 35000.00 0.000000

    P_6_2 25000.00 0.000000

    P_6_3 25000.00 0.000000

    P_5_1 20000.00 0.000000

    P_5_2 25000.00 0.000000

    P_5_3 25000.00 0.000000

    P_4_1 25000.00 0.000000

    P_4_2 0.000000 0.000000

    P_4_3 0.000000 0.000000

    P_3_1 49999.99 0.000000

    P_3_2 50000.00 0.000000

    P_2_1 120000.0 0.000000

    P_2_2 50000.00 0.000000

    P_1_1 40000.01 0.000000

    P_1_2 50000.00 0.000000

    TR_1_4_1_1 0.000000 21.45180

    TR_1_4_1_2 0.000000 21.45180

    TR_1_4_1_3 0.000000 21.45180

    TR_1_6_1_1 0.000000 0.000000

    TR_1_6_1_2 0.000000 18.45180

    TR_1_6_1_3 0.000000 21.44868

    TR_1_7_1_1 0.000000 21.45180

    TR_1_7_1_2 0.000000 21.45180

    TR_1_7_1_3 0.000000 21.45180

    TR_1_4_2_1 0.000000 10.00000

    TR_1_4_2_2 0.000000 10.00000

    TR_1_4_2_3 0.000000 10.00000

    TR_1_6_2_1 0.000000 0.000000

    TR_1_6_2_2 0.000000 7.000000

    TR_1_6_2_3 0.000000 9.996880TR_1_7_2_1 0.000000 10.00000

  • 8/14/2019 Documentation of the Calculations

    45/597

    Documentation of the calculations 45

    TR_1_7_2_2 0.000000 10.00000

    TR_1_7_2_3 0.000000 10.00000

    TR_2_4_1_1 0.000000 3.000000

    TR_2_4_1_2 0.000000 3.000000

    TR_2_4_1_3 0.000000 3.000000

    TR_2_5_1_1 0.000000 0.000000

    TR_2_5_1_2 0.000000 0.000000TR_2_5_1_3 50000.00 0.000000

    TR_2_6_1_1 70000.00 0.000000

    TR_2_6_1_2 0.000000 0.000000

    TR_2_6_1_3 0.000000 2.996880

    TR_2_7_1_1 0.000000 3.000000

    TR_2_7_1_2 0.000000 3.000000

    TR_2_7_1_3 0.000000 3.000000

    TR_2_4_2_1 0.000000 3.000000

    TR_2_4_2_2 0.000000 3.000000

    TR_2_4_2_3 0.000000 3.000000

    TR_2_5_2_1 0.000000 0.000000

    TR_2_5_2_2 0.000000 0.000000

    TR_2_5_2_3 0.000000 0.000000

    TR_2_6_2_1 0.000000 0.000000

    TR_2_6_2_2 50000.00 0.000000

    TR_2_6_2_3 0.000000 2.996880

    TR_2_7_2_1 0.000000 3.000000

    TR_2_7_2_2 0.000000 3.000000

    TR_2_7_2_3 0.000000 3.000000

    TR_3_4_1_1 0.000000 0.3119605E-02

    TR_3_4_1_2 0.000000 0.3119605E-02

    TR_3_4_1_3 0.000000 0.3119605E-02

    TR_3_5_1_1 0.000000 0.000000

    TR_3_5_1_2 0.000000 0.000000

    TR_3_5_1_3 0.000000 0.000000

    TR_3_6_1_1 0.000000 0.000000

    TR_3_6_1_2 0.000000 0.000000

    TR_3_6_1_3 49999.99 0.000000

    TR_3_7_1_1 0.000000 0.3119605E-02

    TR_3_7_1_2 0.000000 0.3119605E-02

    TR_3_7_1_3 0.000000 0.3119605E-02

    TR_3_4_2_1 50000.00 0.000000

    TR_3_4_2_2 0.000000 0.000000

    TR_3_4_2_3 0.000000 0.000000

    TR_3_5_2_1 0.000000 0.000000

    TR_3_5_2_2 0.000000 0.000000

    TR_3_5_2_3 0.000000 0.000000

    TR_3_6_2_1 0.000000 0.000000

    TR_3_6_2_2 0.000000 0.000000

    TR_3_6_2_3 0.000000 0.000000

    TR_3_7_2_1 0.000000 0.000000

    TR_3_7_2_2 0.000000 0.000000

    TR_3_7_2_3 0.000000 0.000000

    TR_4_8_1_1 0.000000 0.000000

    TR_4_8_1_2 25000.00 0.000000

    TR_4_8_1_3 0.000000 0.000000

    TR_4_8_1_4 0.000000 0.000000

    TR_4_8_2_1 0.000000 0.000000

    TR_4_8_2_2 0.000000 0.000000

    TR_4_8_2_3 0.000000 0.000000

    TR_4_8_2_4 0.000000 0.000000

    TR_4_8_3_1 0.000000 0.000000

    TR_4_8_3_2 0.000000 0.000000TR_4_8_3_3 0.000000 0.000000

  • 8/14/2019 Documentation of the Calculations

    46/597

    Documentation of the calculations 46

    TR_4_8_3_4 0.000000 0.000000

    TR_5_8_1_1 0.000000 0.000000

    TR_5_8_1_2 0.000000 0.000000

    TR_5_8_1_3 0.000000 0.000000

    TR_5_8_1_4 20000.00 0.000000

    TR_5_8_2_1 0.000000 0.000000

    TR_5_8_2_2 0.000000 0.000000TR_5_8_2_3 25000.00 0.000000

    TR_5_8_2_4 0.000000 0.000000

    TR_5_8_3_1 0.000000 0.000000

    TR_5_8_3_2 25000.00 0.000000

    TR_5_8_3_3 0.000000 0.000000

    TR_5_8_3_4 0.000000 0.000000

    TR_6_8_1_1 25000.00 0.000000

    TR_6_8_1_2 0.000000 0.000000

    TR_6_8_1_3 0.000000 0.000000

    TR_6_8_1_4 10000.00 0.000000

    TR_6_8_2_1 0.000000 0.000000

    TR_6_8_2_2 0.000000 0.000000

    TR_6_8_2_3 25000.00 0.000000

    TR_6_8_2_4 0.000000 0.000000

    TR_6_8_3_1 0.000000 0.000000

    TR_6_8_3_2 25000.00 0.000000

    TR_6_8_3_3 0.000000 0.000000

    TR_6_8_3_4 0.000000 0.000000

    TR_7_8_1_1 0.000000 0.000000

    TR_7_8_1_2 0.000000 0.000000

    TR_7_8_1_3 0.000000 0.000000

    TR_7_8_1_4 0.000000 0.000000

    TR_7_8_2_1 0.000000 0.000000

    TR_7_8_2_2 0.000000 0.000000

    TR_7_8_2_3 0.000000 0.000000

    TR_7_8_2_4 0.000000 0.000000

    TR_7_8_3_1 0.000000 0.000000

    TR_7_8_3_2 0.000000 0.000000

    TR_7_8_3_3 0.000000 0.000000

    TR_7_8_3_4 0.000000 0.000000

    PR_1 1.000000 0.000000

    PR_2 1.000000 0.000000

    PR_3 1.000000 0.000000

    PR_4 1.000000 0.000000

    PR_5 1.000000 0.000000

    PR_6 1.000000 0.000000

    PR_7 0.000000 0.000000

    AR_4_1 1.000000 0.000000

    AR_4_2 0.000000 -3519274.

    AR_4_3 0.000000 -3519274.

    AR_5_1 1.000000 0.000000

    AR_5_2 1.000000 0.000000

    AR_5_3 1.000000 0.000000

    AR_6_1 1.000000 0.000000

    AR_6_2 1.000000 0.000000

    AR_6_3 1.000000 0.000000

    AR_7_1 0.000000 0.000000

    AR_7_2 0.000000 0.000000

    AR_7_3 0.000000 0.000000

    AR_1_1 1.000000 0.000000

    AR_1_2 1.000000 0.000000

    AR_2_1 1.000000 0.000000

    AR_2_2 1.000000 0.000000AR_3_1 1.000000 0.000000

  • 8/14/2019 Documentation of the Calculations

    47/597

    Documentation of the calculations 47

    AR_3_2 1.000000 0.000000

    B_1_5_1_1 1.000000 0.2798590E+10

    B_1_5_1_2 0.000000 0.000000

    B_1_5_1_3 0.000000 0.000000

    B_1_5_2_1 0.000000 -801625.7

    B_1_5_2_2 1.000000 0.000000

    B_1_5_2_3 0.000000 0.000000T_1_1 0.000000 279859.0

    T_1_2 5.205626 0.000000

    T_2_1 1.326858 0.000000

    T_2_2 12.31444 0.000000

    T_3_1 0.000000 141.0217

    T_3_2 1.359468 0.000000

    T_4_1 30.46554 0.000000

    T_4_2 10011.66 0.000000

    T_4_3 10011.66 0.000000

    T_5_1 2.636795 0.000000

    T_5_2 8.251620 0.000000

    T_5_3 17.65511 0.000000

    T_6_1 13.65511 0.000000

    T_6_2 22.70121 0.000000

    T_6_3 32.10607 0.000000

    T_7_1 0.000000 0.000000

    T_7_2 0.000000 0.000000

    T_7_3 0.000000 0.000000

  • 8/14/2019 Documentation of the Calculations

    48/597

    Documentation of the calculations 48

    Scenario No. 5 [Bonus payments: 60,000 US$ for each day of delivery before T=181;no time block interval]

    Global optimal solution found.

    Objective value: 0.1741529E+09

    Objective bound: 0.1741529E+09

    Infeasibilities: 0.6871764E-07Extended solver steps: 26187181

    Total solver iterations: 351974483

    Variable Value Reduced Cost

    X_1 90000.00 0.000000

    X_2 170000.0 0.000000

    X_3 100000.0 0.000000

    X_4 25000.00 0.000000

    X_5 70000.00 0.000000

    X_6 85000.00 0.000000

    X_7 0.000000 67.00000

    X_8 96000.00 0.000000B_1_4_1_1 0.000000 450000.0

    B_1_4_1_2 0.000000 450000.0

    B_1_4_1_3 0.000000 450000.0

    B_1_4_2_1 0.000000 450000.0

    B_1_4_2_2 0.000000 450000.0

    B_1_4_2_3 0.000000 450000.0

    TR_1_5_1_1 40000.00 0.000000

    TR_1_5_1_2 0.000000 9.245265

    TR_1_5_1_3 0.000000 16.78526

    TR_1_5_2_1 0.000000 0.000000

    TR_1_5_2_2 50000.00 0.000000

    TR_1_5_2_3 0.000000 7.540000

    B_1_6_1_1 0.000000 46184.71B_1_6_1_2 0.000000 390000.0

    B_1_6_1_3 0.000000 390000.0

  • 8/14/2019 Documentation of the Calculations

    49/597

    Documentation of the calculations 49

    B_1_6_2_1 0.000000 -600983.8

    B_1_6_2_2 0.000000 390000.0

    B_1_6_2_3 0.000000 390000.0

    B_1_7_1_1 0.000000 540000.0

    B_1_7_1_2 0.000000 540000.0

    B_1_7_1_3 0.000000 540000.0

    B_1_7_2_1 0.000000 540000.0B_1_7_2_2 0.000000 540000.0

    B_1_7_2_3 0.000000 540000.0

    B_2_4_1_1 0.000000 -280000.0

    B_2_4_1_2 0.000000 -280000.0

    B_2_4_1_3 0.000000 210000.0

    B_2_4_2_1 0.000000 -280000.0

    B_2_4_2_2 0.000000 -280000.0

    B_2_4_2_3 0.000000 210000.0

    B_2_5_1_1 0.000000 -784968.5

    B_2_5_1_2 0.000000 -137800.0

    B_2_5_1_3 1.000000 0.4597478E+09

    B_2_5_2_1 0.000000 -784968.5

    B_2_5_2_2 0.000000 -137800.0

    B_2_5_2_3 0.000000 390000.0

    B_2_6_1_1 1.000000 0.4581468E+09

    B_2_6_1_2 0.000000 270000.0

    B_2_6_1_3 0.000000 270000.0

    B_2_6_2_1 0.000000 -1210984.

    B_2_6_2_2 1.000000 270000.0

    B_2_6_2_3 0.000000 270000.0

    B_2_7_1_1 0.000000 -190000.0

    B_2_7_1_2 0.000000 -190000.0

    B_2_7_1_3 0.000000 -190000.0

    B_2_7_2_1 0.000000 -190000.0

    B_2_7_2_2 0.000000 -190000.0

    B_2_7_2_3 0.000000 -190000.0

    B_3_4_1_1 0.000000 161778.5

    B_3_4_1_2 0.000000 161778.5

    B_3_4_1_3 0.000000 840000.0

    B_3_4_2_1 0.000000 140000.0

    B_3_4_2_2 0.000000 140000.0

    B_3_4_2_3 1.000000 840000.0

    B_3_5_1_1 0.000000 -253190.0

    B_3_5_1_2 0.000000 393978.5

    B_3_5_1_3 0.000000 921778.5

    B_3_5_2_1 0.000000 -274968.5

    B_3_5_2_2 0.000000 372200.0

    B_3_5_2_3 0.000000 900000.0

    B_3_6_1_1 0.000000 -739205.3

    B_3_6_1_2 0.000000 741778.5

    B_3_6_1_3 0.9999999 0.1415722E+09

    B_3_6_2_1 0.000000 -760983.8

    B_3_6_2_2 0.000000 720000.0

    B_3_6_2_3 0.000000 908221.5

    B_3_7_1_1 0.000000 281778.5

    B_3_7_1_2 0.000000 281778.5

    B_3_7_1_3 0.000000 281778.5

    B_3_7_2_1 0.000000 260000.0

    B_3_7_2_2 0.000000 260000.0

    B_3_7_2_3 0.000000 260000.0

    B_4_8_1_1 0.000000 -407300.0

    B_4_8_1_2 0.000000 -407300.0

    B_4_8_1_3 0.000000 -407300.0B_4_8_1_4 0.000000 -407300.0

  • 8/14/2019 Documentation of the Calculations

    50/597

  • 8/14/2019 Documentation of the Calculations

    51/597

    Documentation of the calculations 51

    P_6_3 25000.00 0.000000

    P_5_1 20000.00 0.000000

    P_5_2 25000.00 0.000000

    P_5_3 25000.00 0.000000

    P_4_1 0.000000 39.00000

    P_4_2 0.000000 39.00000

    P_4_3 25000.00 0.000000P_3_1 50000.00 0.000000

    P_3_2 50000.00 0.000000

    P_2_1 120000.0 0.000000

    P_2_2 50000.00 0.000000

    P_1_1 40000.00 0.000000

    P_1_2 50000.00 0.000000

    TR_1_4_1_1 0.000000 9.245265

    TR_1_4_1_2 0.000000 9.245265

    TR_1_4_1_3 0.000000 19.24526

    TR_1_6_1_1 0.000000 0.000000

    TR_1_6_1_2 0.000000 16.24526

    TR_1_6_1_3 0.000000 18.93414

    TR_1_7_1_1 0.000000 9.245265

    TR_1_7_1_2 0.000000 9.245265

    TR_1_7_1_3 0.000000 9.245265

    TR_1_4_2_1 0.000000 0.000000

    TR_1_4_2_2 0.000000 0.000000

    TR_1_4_2_3 0.000000 10.00000

    TR_1_6_2_1 0.000000 0.000000

    TR_1_6_2_2 0.000000 7.000000

    TR_1_6_2_3 0.000000 9.688879

    TR_1_7_2_1 0.000000 0.000000

    TR_1_7_2_2 0.000000 0.000000

    TR_1_7_2_3 0.000000 0.000000

    TR_2_4_1_1 0.000000 0.000000

    TR_2_4_1_2 0.000000 0.000000

    TR_2_4_1_3 0.000000 3.000000

    TR_2_5_1_1 0.000000 0.000000

    TR_2_5_1_2 0.000000 0.000000

    TR_2_5_1_3 50000.00 0.000000

    TR_2_6_1_1 70000.00 0.000000

    TR_2_6_1_2 0.000000 0.000000

    TR_2_6_1_3 0.000000 2.688879

    TR_2_7_1_1 0.000000 0.000000

    TR_2_7_1_2 0.000000 0.000000

    TR_2_7_1_3 0.000000 0.000000

    TR_2_4_2_1 0.000000 0.000000

    TR_2_4_2_2 0.000000 0.000000

    TR_2_4_2_3 0.000000 3.000000

    TR_2_5_2_1 0.000000 0.000000

    TR_2_5_2_2 0.000000 0.000000

    TR_2_5_2_3 0.000000 0.000000

    TR_2_6_2_1 0.000000 0.000000

    TR_2_6_2_2 50000.00 0.000000

    TR_2_6_2_3 0.000000 2.688879

    TR_2_7_2_1 0.000000 0.000000

    TR_2_7_2_2 0.000000 0.000000

    TR_2_7_2_3 0.000000 0.000000

    TR_3_4_1_1 0.000000 0.000000

    TR_3_4_1_2 0.000000 0.000000

    TR_3_4_1_3 0.000000 0.3111210

    TR_3_5_1_1 0.000000 0.000000

    TR_3_5_1_2 0.000000 0.000000TR_3_5_1_3 0.000000 0.000000

  • 8/14/2019 Documentation of the Calculations

    52/597

    Documentation of the calculations 52

    TR_3_6_1_1 0.000000 0.000000

    TR_3_6_1_2 0.000000 0.000000

    TR_3_6_1_3 50000.00 0.000000

    TR_3_7_1_1 0.000000 0.000000

    TR_3_7_1_2 0.000000 0.000000

    TR_3_7_1_3 0.000000 0.000000

    TR_3_4_2_1 0.000000 0.000000TR_3_4_2_2 0.000000 0.000000

    TR_3_4_2_3 50000.00 0.000000

    TR_3_5_2_1 0.000000 0.000000

    TR_3_5_2_2 0.000000 0.000000

    TR_3_5_2_3 0.000000 0.000000

    TR_3_6_2_1 0.000000 0.000000

    TR_3_6_2_2 0.000000 0.000000

    TR_3_6_2_3 0.000000 0.000000

    TR_3_7_2_1 0.000000 0.000000

    TR_3_7_2_2 0.000000 0.000000

    TR_3_7_2_3 0.000000 0.000000

    TR_4_8_1_1 0.000000 0.000000

    TR_4_8_1_2 0.000000 0.000000

    TR_4_8_1_3 0.000000 0.000000

    TR_4_8_1_4 0.000000 0.000000

    TR_4_8_2_1 0.000000 0.000000

    TR_4_8_2_2 0.000000 0.000000

    TR_4_8_2_3 0.000000 0.000000

    TR_4_8_2_4 0.000000 0.000000

    TR_4_8_3_1 0.000000 0.000000

    TR_4_8_3_2 0.000000 0.000000

    TR_4_8_3_3 0.000000 0.000000

    TR_4_8_3_4 25000.00 0.000000

    TR_5_8_1_1 0.000000 0.000000

    TR_5_8_1_2 0.000000 0.000000

    TR_5_8_1_3 20000.00 0.000000

    TR_5_8_1_4 0.000000 0.000000

    TR_5_8_2_1 0.000000 0.000000

    TR_5_8_2_2 25000.00 0.000000

    TR_5_8_2_3 0.000000 0.000000

    TR_5_8_2_4 0.000000 0.000000

    TR_5_8_3_1 0.000000 0.000000

    TR_5_8_3_2 0.000000 0.000000

    TR_5_8_3_3 0.000000 0.000000

    TR_5_8_3_4 25000.00 0.000000

    TR_6_8_1_1 25000.00 0.000000

    TR_6_8_1_2 0.000000 0.000000

    TR_6_8_1_3 10000.00 0.000000

    TR_6_8_1_4 0.000000 0.000000

    TR_6_8_2_1 0.000000 0.000000

    TR_6_8_2_2 25000.00 0.000000

    TR_6_8_2_3 0.000000 0.000000

    TR_6_8_2_4 0.000000 0.000000

    TR_6_8_3_1 0.000000 0.000000

    TR_6_8_3_2 0.000000 0.000000

    TR_6_8_3_3 0.000000 0.000000

    TR_6_8_3_4 25000.00 0.000000

    TR_7_8_1_1 0.000000 0.000000

    TR_7_8_1_2 0.000000 0.000000

    TR_7_8_1_3 0.000000 0.000000

    TR_7_8_1_4 0.000000 0.000000

    TR_7_8_2_1 0.000000 0.000000

    TR_7_8_2_2 0.000000 0.000000TR_7_8_2_3 0.000000 0.000000

  • 8/14/2019 Documentation of the Calculations

    53/597

    Documentation of the calculations 53

    TR_7_8_2_4 0.000000 0.000000

    TR_7_8_3_1 0.000000 0.000000

    TR_7_8_3_2 0.000000 0.000000

    TR_7_8_3_3 0.000000 0.000000

    TR_7_8_3_4 0.000000 0.000000

    PR_1 1.000000 0.000000

    PR_2 1.000000 0.000000PR_3 1.000000 0.000000

    PR_4 1.000000 0.000000

    PR_5 1.000000 0.000000

    PR_6 1.000000 0.000000

    PR_7 0.000000 0.000000

    AR_4_1 0.000000 0.000000

    AR_4_2 0.000000 0.000000

    AR_4_3 1.000000 0.000000

    AR_5_1 1.000000 0.000000

    AR_5_2 1.000000 0.000000

    AR_5_3 1.000000 0.000000

    AR_6_1 1.000000 0.000000

    AR_6_2 1.000000 0.000000

    AR_6_3 0.9999999 0.000000

    AR_7_1 0.000000 0.000000

    AR_7_2 0.000000 0.000000

    AR_7_3 0.000000 0.000000

    AR_1_1 1.000000 0.000000

    AR_1_2 1.000000 0.000000

    AR_2_1 1.000000 0.000000

    AR_2_2 1.000000 0.000000

    AR_3_1 0.9999999 0.000000

    AR_3_2 1.000000 0.000000

    B_1_5_1_1 1.000000 0.2259358E+10

    B_1_5_1_2 0.000000 0.000000

    B_1_5_1_3 0.000000 0.000000

    B_1_5_2_1 0.000000 -647168.5

    B_1_5_2_2 1.000000 0.000000

    B_1_5_2_3 0.000000 0.000000

    T_1_1 0.000000 225935.8

    T_1_2 5.205625 0.000000

    T_2_1 1.326858 0.000000

    T_2_2 12.31444 0.000000

    T_3_1 0.000000 14064.22

    T_3_2 1.359468 0.000000

    T_4_1 0.000000 0.000000

    T_4_2 0.000000 0.000000

    T_4_3 30.46554 0.000000

    T_5_1 2.636795 0.000000

    T_5_2 8.251619 0.000000

    T_5_3 17.65511 0.000000

    T_6_1 13.65511 0.000000

    T_6_2 22.70121 0.000000

    T_6_3 32.10539 0.000000

    T_7_1 0.000000 0.000000

    T_7_2 0.000000 0.000000

    T_7_3 0.000000 0.000000

  • 8/14/2019 Documentation of the Calculations

    54/597

    Documentation of the calculations 54

    Scenario No. 6 [Bonus payments: 50,000 US$ for each day of delivery before T=181;no time block interval]

    Global optimal solution found.

    Objective value: 0.1779996E+09

    Objective bound: 0.1779996E+09

    Infeasibilities: 0.4272138E-10

    Extended solver steps: 24100738

    Total solver iterations: 1202793322

    Variable Value Reduced Cost

    X_1 100000.0 0.000000X_2 170000.0 0.000000

    X_3 90000.00 0.000000

    X_4 20000.00 0.000000

    X_5 75000.00 0.000000

    X_6 85000.00 0.000000

    X_7 0.000000 131.0000

    X_8 96000.00 0.000000

    B_1_4_1_1 0.000000 450000.0

    B_1_4_1_2 0.000000 450000.0

    B_1_4_1_3 0.000000 450000.0

    B_1_4_2_1 0.000000 450000.0

    B_1_4_2_2 0.000000 450000.0

    B_1_4_2_3 0.000000 450000.0TR_1_5_1_1 50000.00 0.000000

    TR_1_5_1_2 0.000000 8.183976

  • 8/14/2019 Documentation of the Calculations

    55/597

    Documentation of the calculations 55

    TR_1_5_1_3 0.000000 15.72398

    TR_1_5_2_1 0.000000 0.000000

    TR_1_5_2_2 50000.00 0.000000

    TR_1_5_2_3 0.000000 7.540000

    B_1_6_1_1 0.000000 -56947.32

    B_1_6_1_2 0.000000 390000.0

    B_1_6_1_3 0.000000 390000.0B_1_6_2_1 0.000000 -629825.6

    B_1_6_2_2 0.000000 390000.0

    B_1_6_2_3 0.000000 390000.0

    B_1_7_1_1 0.000000 540000.0

    B_1_7_1_2 0.000000 540000.0

    B_1_7_1_3 0.000000 540000.0

    B_1_7_2_1 0.000000 540000.0

    B_1_7_2_2 0.000000 540000.0

    B_1_7_2_3 0.000000 540000.0

    B_2_4_1_1 0.000000 210000.0

    B_2_4_1_2 0.000000 -280000.0

    B_2_4_1_3 0.000000 -280000.0

    B_2_4_2_1 0.000000 210000.0

    B_2_4_2_2 0.000000 -280000.0

    B_2_4_2_3 0.000000 -280000.0

    B_2_5_1_1 0.000000 -710678.3

    B_2_5_1_2 0.000000 -137800.0

    B_2_5_1_3 1.000000 0.5003900E+09

    B_2_5_2_1 0.000000 -710678.3

    B_2_5_2_2 0.000000 -137800.0

    B_2_5_2_3 0.000000 390000.0

    B_2_6_1_1 1.000000 0.2487602E+09

    B_2_6_1_2 0.000000 270000.0

    B_2_6_1_3 0.000000 270000.0

    B_2_6_2_1 0.000000 -1239826.

    B_2_6_2_2 1.000000 270000.0

    B_2_6_2_3 0.000000 270000.0

    B_2_7_1_1 0.000000 -190000.0

    B_2_7_1_2 0.000000 -190000.0

    B_2_7_1_3 0.000000 -190000.0

    B_2_7_2_1 0.000000 -190000.0

    B_2_7_2_2 0.000000 -190000.0

    B_2_7_2_3 0.000000 -190000.0

    B_3_4_1_1 0.000000 840000.0

    B_3_4_1_2 0.000000 140000.0

    B_3_4_1_3 0.000000 140000.0

    B_3_4_2_1 1.000000 840000.0

    B_3_4_2_2 0.000000 140000.0

    B_3_4_2_3 0.000000 140000.0

    B_3_5_1_1 0.000000 -200678.3

    B_3_5_1_2 0.000000 372200.0

    B_3_5_1_3 0.000000 900000.0

    B_3_5_2_1 0.000000 -200678.3

    B_3_5_2_2 0.000000 372200.0

    B_3_5_2_3 0.000000 900000.0

    B_3_6_1_1 0.000000 -789825.6

    B_3_6_1_2 0.000000 720000.0

    B_3_6_1_3 1.000000 930000.0

    B_3_6_2_1 0.000000 -789825.6

    B_3_6_2_2 0.000000 720000.0

    B_3_6_2_3 0.000000 930000.0

    B_3_7_1_1 0.000000 260000.0

    B_3_7_1_2 0.000000 260000.0B_3_7_1_3 0.000000 260000.0

  • 8/14/2019 Documentation of the Calculations

    56/597

    Documentation of the calculations 56

    B_3_7_2_1 0.000000 260000.0

    B_3_7_2_2 0.000000 260000.0

    B_3_7_2_3 0.000000 260000.0

    B_4_8_1_1 0.000000 67700.00

    B_4_8_1_2 1.000000 67700.00

    B_4_8_1_3 0.000000 67700.00

    B_4_8_1_4 0.000000 67700.00B_4_8_2_1 0.000000 -2007300.

    B_4_8_2_2 0.000000 -2007300.

    B_4_8_2_3 0.000000 -2007300.

    B_4_8_2_4 0.000000 -2007300.

    B_4_8_3_1 0.000000 -2007300.

    B_4_8_3_2 0.000000 -2007300.

    B_4_8_3_3 0.000000 -2007300.

    B_4_8_3_4 0.000000 -2007300.

    B_5_8_1_1 1.000000 0.1500193E+10

    B_5_8_1_2 0.000000 192604.6

    B_5_8_1_3 0.000000 192604.6

    B_5_8_1_4 0.000000 192604.6

    B_5_8_2_1 0.000000 -1269374.

    B_5_8_2_2 0.000000 -1269374.

    B_5_8_2_3 1.000000 0.4987306E+09

    B_5_8_2_4 0.000000 -1269374.

    B_5_8_3_1 0.000000 -1646374.

    B_5_8_3_2 1.000000 0.4983536E+09

    B_5_8_3_3 0.000000 -1646374.

    B_5_8_3_4 0.000000 -1646374.

    B_6_8_1_1 1.000000 0.5000527E+09

    B_6_8_1_2 0.000000 52700.00

    B_6_8_1_3 0.000000 52700.00

    B_6_8_1_4 1.000000 0.5000527E+09

    B_6_8_2_1 0.000000 -772300.0

    B_6_8_2_2 0.000000 -772300.0

    B_6_8_2_3 1.000000 -772300.0

    B_6_8_2_4 0.000000 -772300.0

    B_6_8_3_1 0.000000 -922300.0

    B_6_8_3_2 1.000000 -922300.0

    B_6_8_3_3 0.000000 -922300.0

    B_6_8_3_4 0.000000 -922300.0

    B_7_8_1_1 0.000000 -1857300.

    B_7_8_1_2 0.000000 -1857300.

    B_7_8_1_3 0.000000 -1857300.

    B_7_8_1_4 0.000000 -1857300.

    B_7_8_2_1 0.000000 -1857300.

    B_7_8_2_2 0.000000 -1857300.

    B_7_8_2_3 0.000000 -1857300.

    B_7_8_2_4 0.000000 -1857300.

    B_7_8_3_1 0.000000 -1857300.

    B_7_8_3_2 0.000000 -1857300.

    B_7_8_3_3 0.000000 -1857300.

    B_7_8_3_4 0.000000 -1857300.

    T_8_1 25.06452 0.000000

    P_8_1 18666.67 0.000000

    T_8_2 41.48654 0.000000

    P_8_2 37333.33 0.000000

    T_8_3 32.08305 0.000000

    P_8_3 26666.67 0.000000

    T_8_4 25.06452 0.000000

    P_8_4 13333.33 0.000000

    AR_8_1 1.000000 0.000000AR_8_2 1.000000 0.000000

  • 8/14/2019 Documentation of the Calculations

    57/597

    Documentation of the calculations 57

    AR_8_3 1.000000 0.000000

    AR_8_4 1.000000 0.000000

    P_4_1 20000.00 0.000000

    P_4_2 0.000000 103.0000

    P_4_3 0.000000 103.0000

    P_5_1 25000.00 0.000000

    P_5_2 25000.00 0.000000P_5_3 25000.00 0.000000

    P_6_1 35000.00 0.000000

    P_6_2 25000.00 0.000000

    P_6_3 25000.00 0.000000

    P_7_1 0.000000 0.000000

    P_7_2 0.000000 0.000000

    P_7_3 0.000000 0.000000

    P_1_1 50000.00 0.000000

    P_1_2 50000.00 0.000000

    P_2_1 120000.0 0.000000

    P_2_2 50000.00 0.000000

    P_3_1 50000.00 0.000000

    P_3_2 40000.00 0.000000

    TR_1_4_1_1 0.000000 18.18398

    TR_1_4_1_2 0.000000 8.183976

    TR_1_4_1_3 0.000000 8.183976

    TR_1_6_1_1 0.000000 0.000000

    TR_1_6_1_2 0.000000 15.18398

    TR_1_6_1_3 0.000000 18.18398

    TR_1_7_1_1 0.000000 8.183976

    TR_1_7_1_2 0.000000 8.183976

    TR_1_7_1_3 0.000000 8.183976

    TR_1_4_2_1 0.000000 10.00000

    TR_1_4_2_2 0.000000 0.000000

    TR_1_4_2_3 0.000000 0.000000

    TR_1_6_2_1 0.000000 0.000000

    TR_1_6_2_2 0.000000 7.000000

    TR_1_6_2_3 0.000000 10.00000

    TR_1_7_2_1 0.000000 0.000000

    TR_1_7_2_2 0.000000 0.000000

    TR_1_7_2_3 0.000000 0.000000

    TR_2_4_1_1 0.000000 3.000000

    TR_2_4_1_2 0.000000 0.000000

    TR_2_4_1_3 0.000000 0.000000

    TR_2_5_1_1 0.000000 0.000000

    TR_2_5_1_2 0.000000 0.000000

    TR_2_5_1_3 50000.00 0.000000

    TR_2_6_1_1 70000.00 0.000000

    TR_2_6_1_2 0.000000 0.000000

    TR_2_6_1_3 0.000000 3.000000

    TR_2_7_1_1 0.000000 0.000000

    TR_2_7_1_2 0.000000 0.000000

    TR_2_7_1_3 0.000000 0.000000

    TR_2_4_2_1 0.000000 3.000000

    TR_2_4_2_2 0.000000 0.000000

    TR_2_4_2_3 0.000000 0.000000

    TR_2_5_2_1 0.000000 0.000000

    TR_2_5_2_2 0.000000 0.000000

    TR_2_5_2_3 0.000000 0.000000

    TR_2_6_2_1 0.000000 0.000000

    TR_2_6_2_2 50000.00 0.000000

    TR_2_6_2_3 0.000000 3.000000

    TR_2_7_2_1 0.000000 0.000000TR_2_7_2_2 0.000000 0.000000

  • 8/14/2019 Documentation of the Calculations

    58/597

    Documentation of the calculations 58

    TR_2_7_2_3 0.000000 0.000000

    TR_3_4_1_1 0.000000 0.000000

    TR_3_4_1_2 0.000000 0.000000

    TR_3_4_1_3 0.000000 0.000000

    TR_3_5_1_1 0.000000 0.000000

    TR_3_5_1_2 0.000000 0.000000

    TR_3_5_1_3 0.000000 0.000000TR_3_6_1_1 0.000000 0.000000

    TR_3_6_1_2 0.000000 0.000000

    TR_3_6_1_3 50000.00 0.000000

    TR_3_7_1_1 0.000000 0.000000

    TR_3_7_1_2 0.000000 0.000000

    TR_3_7_1_3 0.000000 0.000000

    TR_3_4_2_1 40000.00 0.000000

    TR_3_4_2_2 0.000000 0.000000

    TR_3_4_2_3 0.000000 0.000000

    TR_3_5_2_1 0.000000 0.000000

    TR_3_5_2_2 0.000000 0.000000

    TR_3_5_2_3 0.000000 0.000000

    TR_3_6_2_1 0.000000 0.000000

    TR_3_6_2_2 0.000000 0.000000

    TR_3_6_2_3 0.000000 0.000000

    TR_3_7_2_1 0.000000 0.000000

    TR_3_7_2_2 0.000000 0.000000

    TR_3_7_2_3 0.000000 0.000000

    TR_4_8_1_1 0.000000 0.000000

    TR_4_8_1_2 20000.00 0.000000

    TR_4_8_1_3 0.000000 0.000000

    TR_4_8_1_4 0.000000 0.000000

    TR_4_8_2_1 0.000000 0.000000

    TR_4_8_2_2 0.000000 0.000000

    TR_4_8_2_3 0.000000 0.000000

    TR_4_8_2_4 0.000000 0.000000

    TR_4_8_3_1 0.000000 0.000000

    TR_4_8_3_2 0.000000 0.000000

    TR_4_8_3_3 0.000000 0.000000

    TR_4_8_3_4 0.000000 0.000000

    TR_5_8_1_1 25000.00 0.000000

    TR_5_8_1_2 0.000000 0.000000

    TR_5_8_1_3 0.000000 0.000000

    TR_5_8_1_4 0.000000 0.000000

    TR_5_8_2_1 0.000000 0.000000

    TR_5_8_2_2 0.000000 0.000000

    TR_5_8_2_3 25000.00 0.000000

    TR_5_8_2_4 0.000000 0.000000

    TR_5_8_3_1 0.000000 0.000000

    TR_5_8_3_2 25000.00 0.000000

    TR_5_8_3_3 0.000000 0.000000

    TR_5_8_3_4 0.000000 0.000000

    TR_6_8_1_1 10000.00 0.000000

    TR_6_8_1_2 0.000000 0.000000

    TR_6_8_1_3 0.000000 0.000000

    TR_6_8_1_4 25000.00 0.000000

    TR_6_8_2_1 0.000000 0.000000

    TR_6_8_2_2 0.000000 0.000000

    TR_6_8_2_3 25000.00 0.000000

    TR_6_8_2_4 0.000000 0.000000

    TR_6_8_3_1 0.000000 0.000000

    TR_6_8_3_2 25000.00 0.000000

    TR_6_8_3_3 0.000000 0.000000TR_6_8_3_4 0.000000 0.000000

  • 8/14/2019 Documentation of the Calculations

    59/597

    Documentation of the calculations 59

    TR_7_8_1_1 0.000000 0.000000

    TR_7_8_1_2 0.000000 0.000000

    TR_7_8_1_3 0.000000 0.000000

    TR_7_8_1_4 0.000000 0.000000

    TR_7_8_2_1 0.000000 0.000000

    TR_7_8_2_2 0.000000 0.000000

    TR_7_8_2_3 0.000000 0.000000TR_7_8_2_4 0.000000 0.000000

    TR_7_8_3_1 0.000000 0.000000

    TR_7_8_3_2 0.000000 0.000000

    TR_7_8_3_3 0.000000 0.000000

    TR_7_8_3_4 0.000000 0.000000

    PR_1 1.000000 0.000000

    PR_2 1.000000 0.000000

    PR_3 1.000000 0.000000

    PR_4 1.000000 0.000000

    PR_5 1.000000 0.000000

    PR_6 1.000000 0.000000

    PR_7 0.000000 0.000000

    AR_4_1 1.000000 0.000000

    AR_4_2 0.000000 0.000000

    AR_4_3 0.000000 0.000000

    AR_5_1 1.000000 0.000000

    AR_5_2 1.000000 0.000000

    AR_5_3 1.000000 0.000000

    AR_6_1 1.000000 0.000000

    AR_6_2 1.000000 0.000000

    AR_6_3 1.000000 0.000000

    AR_7_1 0.000000 0.000000

    AR_7_2 0.000000 0.000000

    AR_7_3 0.000000 0.000000

    AR_1_1 1.000000 0.000000

    AR_1_2 1.000000 0.000000

    AR_2_1 1.000000 0.000000

    AR_2_2 1.000000 0.000000

    AR_3_1 1.000000 0.000000

    AR_3_2 1.000000 0.000000

    B_1_5_1_1 1.000000 0.2000000E+10

    B_1_5_1_2 0.000000 0.000000

    B_1_5_1_3 0.000000 0.000000

    B_1_5_2_1 0.000000 -572878.3

    B_1_5_2_2 1.000000 0.000000

    B_1_5_2_3 0.000000 0.000000

    T_1_1 0.000000 200000.0

    T_1_2 7.018529 0.000000

    T_2_1 3.139762 0.000000

    T_2_2 14.12734 0.000000

    T_3_1 1.811529 0.000000

    T_3_2 4.635205 0.000000

    T_4_1 33.52006 0.000000

    T_4_2 5013.468 0.000000

    T_4_3 5013.468 0.000000

    T_5_1 3.045994 0.000000

    T_5_2 10.06452 0.000000

    T_5_3 19.46801 0.000000

    T_6_1 15.46801 0.000000

    T_6_2 24.51411 0.000000

    T_6_3 33.91760 0.000000

    T_7_1 0.000000 0.000000

    T_7_2 0.000000 0.000000T_7_3 0.000000 0.000000

  • 8/14/2019 Documentation of the Calculations

    60/597

  • 8/14/2019 Documentation of the Calculations

    61/597

    Documentation of the calculations 61

    B_1_6_1_3 0.000000 -293202.2

    B_1_6_2_1 0.000000 390000.0

    B_1_6_2_2 0.000000 390000.0

    B_1_6_2_3 0.000000 -293202.2

    B_1_7_1_1 0.000000 540000.0

    B_1_7_1_2 0.000000 540000.0

    B_1_7_1_3 0.000000 540000.0B_1_7_2_1 0.000000 540000.0

    B_1_7_2_2 0.000000 540000.0

    B_1_7_2_3 0.000000 540000.0

    B_2_4_1_1 0.000000 210000.0

    B_2_4_1_2 0.000000 210000.0

    B_2_4_1_3 0.000000 210000.0

    B_2_4_2_1 0.000000 210000.0

    B_2_4_2_2 0.000000 210000.0

    B_2_4_2_3 0.000000 210000.0

    B_2_5_1_1 0.000000 -137800.0

    B_2_5_1_2 1.000000 390000.0

    B_2_5_1_3 0.000000 -137800.0

    B_2_5_2_1 0.000000 -137800.0

    B_2_5_2_2 0.000000 390000.0

    B_2_5_2_3 1.000000 0.3998622E+09

    B_2_6_1_1 0.000000 270000.0

    B_2_6_1_2 0.000000 232239.8

    B_2_6_1_3 0.000000 -903202.2

    B_2_6_2_1 1.000000 0.4002700E+09

    B_2_6_2_2 0.000000 232239.8

    B_2_6_2_3 0.000000 -903202.2

    B_2_7_1_1 0.00