documentation of the calculations
TRANSCRIPT
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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
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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.
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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}.
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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.
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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-
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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;
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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
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8000*ar_8_2
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10000*b_1_6_1_1
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10000*b_2_7_2_2
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5000*b_4_8_3_1
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5000*b_7_8_2_3
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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);
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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);
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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);
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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);
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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);
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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);
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!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);
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@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);
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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
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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
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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
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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
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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
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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:
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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.
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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