qt 2 assingment 4.xlsx

CE 750 Formulation

X1 X2 X3KMLI KBOS KTEB

Fuel to be bought 6000 2600 2010Price of fuel ($/gallon) 3.97 8.35 7.47

Ramp Fee Waiver Binary Variable DefiningKBOS 1 800KTEB 0 450KDAL 0 400

Objective FunctionMinimize 13270.27

ConstraintsRelation between X and Y –

0 26002010 20102345 2345

Fuel Tank constraints –13000 1300010800 1300010810 13000

7855 130007000 13000

Minimum Fuel Constraints –8200 24008800 24005510 24004755 2400

Minimum Fuel on arrival at KMLI -7000 7000

Maximum Ramp Weight - 35600 3640033800 3640034610 3640031655 36400

Maximum Landing weight - 30800 3180031800 3180029310 3180028555 31800

Leg Depart Arrive Miles1 KMLI KBOS 8902 KBOS KTEB 1763 KTEB KDAL 1,202

4 KDAL KMLI 628

AircraftMaximum Ramp WeightMaximum Landing Weight

BOW*

Fuel Tank Capacity

CE 750 Formulation

X4 X5KDAL KMLI

2345 22456.01 3.97

Ramp fee Minimum gallons to waive fee2:00 4,800 $3.97 0:40 2,000 $8.35 $800 5002:55 5,300 $7.47 $450 300

1:35 3,100 $6.01 $400 350

Aircraft CE750 GVMaximum Ramp Weight 36,400 90,900Maximum Landing Weight 31,800 75,300

22,200 48,800

13,000 41,300

Duration (hr.:min.)

Fuel burn including

taxi (pounds)

Fuel price ($/gallon)

Leg Depart Arrive Miles

1 KMLI KBOS 890

2 KBOS KTEB 1763 KTEB KDAL 1,202

4 KDAL KMLI 628

Ramp fee

2:00 4,800 $3.97

0:40 2,000 $8.35 $800 5002:55 5,300 $7.47 $450 300

1:35 3,100 $6.01 $400 350

Duration (hr.:min.)

Fuel burn including

taxi (pounds)

Fuel price ($/gallon)

Minimum gallons to waive fee

Microsoft Excel 15.0 Answer ReportWorksheet: [JCG global analysis.xlsx]Sheet2Report Created: 11/8/2014 12:14:56 AMResult: Solver found a solution. All Constraints and optimality conditions are satisfied.Solver Engine

Engine: Simplex LPSolution Time: 0.047 Seconds.Iterations: 18 Subproblems: 0

Solver OptionsMax Time Unlimited, Iterations Unlimited, Precision 0.000001Max Subproblems Unlimited, Max Integer Sols Unlimited, Integer Tolerance 1%, Assume NonNegative

Objective Cell (Min)Cell Name Original Value Final Value

$B$14 Minimize KMLI 11645.1641791 11645.1641791

Variable CellsCell Name Original Value Final Value

$B$5 Fuel to be bought KMLI 6000 6000$C$5 Fuel to be bought KBOS 0 0$D$5 Fuel to be bought KTEB 2010 2010$E$5 Fuel to be bought KDAL 2590 2590$F$5 Fuel to be bought KMLI 4600 4600$B$9 KBOS KMLI 1 1$B$10 KTEB KMLI 0 0$B$11 KDAL KMLI 0 0

ConstraintsCell Name Cell Value Formula

$A$18 Relation between X and Y – 0 $A$18<=$B$18$A$19 Relation between X and Y – 2010 $A$19<=$B$19$A$20 Relation between X and Y – 2345 $A$20<=$B$20$A$22 Fuel Tank constraints – 13000 $A$22<=$B$22$A$23 Fuel Tank constraints – 8200 $A$23<=$B$23$A$24 Fuel Tank constraints – 8210 $A$24<=$B$24$A$25 Fuel Tank constraints – 5500 $A$25<=$B$25$A$26 Fuel Tank constraints – 7000 $A$26<=$B$26$A$28 Minimum Fuel Constraints – 8200 $A$28>=$B$28$A$29 Minimum Fuel Constraints – 6200 $A$29>=$B$29$A$30 Minimum Fuel Constraints – 2910 $A$30>=$B$30$A$31 Minimum Fuel Constraints – 2400 $A$31>=$B$31$A$33 Minimum Fuel on arrival at KMLI - 7000 $A$33>=$B$33

$A$35 Maximum Ramp Weight - 35600 $A$35<=$B$35$A$36 Maximum Ramp Weight - 31200 $A$36<=$B$36$A$37 Maximum Ramp Weight - 32010 $A$37<=$B$37$A$38 Maximum Ramp Weight - 29300 $A$38<=$B$38$A$40 Maximum Landing weight - 30800 $A$40<=$B$40$A$41 Maximum Landing weight - 29200 $A$41<=$B$41$A$42 Maximum Landing weight - 26710 $A$42<=$B$42$A$43 Maximum Landing weight - 26200 $A$43<=$B$43

Result: Solver found a solution. All Constraints and optimality conditions are satisfied.

Max Subproblems Unlimited, Max Integer Sols Unlimited, Integer Tolerance 1%, Assume NonNegative

IntegerContinContinContinContinContinContinContinContin

Status SlackBinding 0Binding 0Not Binding 245Binding 0Not Binding 4800Not Binding 4790Not Binding 7500Not Binding 6000Not Binding 5800Not Binding 3800Not Binding 510Binding 0Binding 0

Not Binding 800Not Binding 5200Not Binding 4390Not Binding 7100Not Binding 1000Not Binding 2600Not Binding 5090Not Binding 5600

Microsoft Excel 15.0 Sensitivity ReportWorksheet: [JCG global analysis.xlsx]Sheet2Report Created: 11/8/2014 12:14:56 AM

Variable CellsFinal Reduced Objective

Cell Name Value Cost Coefficient$B$5 Fuel to be bought KMLI 6000 0 0.5925373134$C$5 Fuel to be bought KBOS 0 0.1104477612 1.2462686567$D$5 Fuel to be bought KTEB 2010 0 1.1149253731$E$5 Fuel to be bought KDAL 2590 0 0.8970149254$F$5 Fuel to be bought KMLI 4600 0 0.5925373134$B$9 KBOS KMLI 1 0 800$B$10 KTEB KMLI 0 12 450$B$11 KDAL KMLI 0 400 400

ConstraintsFinal Shadow Constraint

Cell Name Value Price R.H. Side$A$18 Relation between X and Y – 0 -0.2388059701 0$A$19 Relation between X and Y – 2010 -0.2179104478 0$A$20 Relation between X and Y – 2345 0 0$A$22 Fuel Tank constraints – 13000 -0.3044776119 13000$A$23 Fuel Tank constraints – 8200 0 13000$A$24 Fuel Tank constraints – 8210 0 13000$A$25 Fuel Tank constraints – 5500 0 13000$A$26 Fuel Tank constraints – 7000 0 13000$A$28 Minimum Fuel Constraints – 8200 0 2400$A$29 Minimum Fuel Constraints – 6200 0 2400$A$30 Minimum Fuel Constraints – 2910 0 2400$A$31 Minimum Fuel Constraints – 2400 0.3044776119 2400$A$33 Minimum Fuel on arrival at KMLI - 7000 0.5925373134 7000$A$35 Maximum Ramp Weight - 35600 0 36400$A$36 Maximum Ramp Weight - 31200 0 36400$A$37 Maximum Ramp Weight - 32010 0 36400$A$38 Maximum Ramp Weight - 29300 0 36400$A$40 Maximum Landing weight - 30800 0 31800$A$41 Maximum Landing weight - 29200 0 31800$A$42 Maximum Landing weight - 26710 0 31800$A$43 Maximum Landing weight - 26200 0 31800

Allowable AllowableIncrease Decrease

0.30447761191.00000E+0301.00000E+030 0.11044776120.0059701493 0.21791044780.1104477612 0.00597014930.3044776119 0.5925373134

370 8001.00000E+030 121.00000E+030 400


33501.00000E+030510 245

1.00000E+030 245245 510

1.00000E+030 48001.00000E+030 47901.00000E+030 75001.00000E+030 6000

58001.00000E+03038001.00000E+030

5101.00000E+0304600 2456000 4600

1.00000E+030 8001.00000E+030 52001.00000E+030 43901.00000E+030 71001.00000E+030 10001.00000E+030 26001.00000E+030 50901.00000E+030 5600

Microsoft Excel 15.0 Limits ReportWorksheet: [JCG global analysis.xlsx]Sheet2Report Created: 11/8/2014 12:14:57 AM

ObjectiveCell Name Value

$B$14 Minimize KMLI 11645.164179

Variable Lower Objective UpperCell Name Value Limit Result Limit

$B$5 Fuel to be bought KMLI 6000 6000 11645.164179 6000$C$5 Fuel to be bought KBOS 0 0 11645.164179 2600$D$5 Fuel to be bought KTEB 2010 2010 11645.164179 6400$E$5 Fuel to be bought KDAL 2590 2590 11645.164179 8190$F$5 Fuel to be bought KMLI 4600 4600 11645.164179 10600$B$9 KBOS KMLI 1 1 11645.164179 Err:512$B$10 KTEB KMLI 0 0 11645.164179 Err:512$B$11 KDAL KMLI 0 0 11645.164179 Err:512

ObjectiveResult

11645.16417914885.46268716539.68656716668.447761

15200.38806Err:512Err:512Err:512

Gulfstream GV Formulation

X1 X2 X3KMLI KBOS KTEB

Fuel to be bought 2300 3350 3950Price of fuel ($/gallon) 3.97 8.35 7.47

Ramp Fee Waiver Binary Variable DefiningKBOS 0 800 Y1KTEB 0 450 Y2KDAL 0 400 Y3

Objective FunctionMinimize 16490

ConstraintsRelation between X and Y –

3350 33502010 39502345 7300

Fuel Tank constraints –9300 413007850 413009800 41300

11800 413008700 41300

Minimum Fuel Constraints –4500 45005850 45004500 45008700 4500

Minimum Fuel on arrival at KMLI -8700 8700

Maximum Ramp Weight - 31900 9090030850 9090033600 9090035600 90900

Maximum Landing weight - 27100 7530028850 7530028300 7530032500 75300

X4 X5KDAL KMLI

7300 06.01 3.97

Microsoft Excel 15.0 Answer ReportWorksheet: [JCG global analysis.xlsx]Gulfstream LV FormulationReport Created: 11/8/2014 12:39:42 AMResult: Solver found a solution. All Constraints and optimality conditions are satisfied.Solver Engine

Engine: Simplex LPSolution Time: 0.047 Seconds.Iterations: 9 Subproblems: 0

Solver OptionsMax Time Unlimited, Iterations Unlimited, Precision 0.000001, Use Automatic ScalingMax Subproblems Unlimited, Max Integer Sols Unlimited, Integer Tolerance 1%, Assume NonNegative

Objective Cell (Min)Cell Name Original Value Final Value

$B$5 Fuel to be bought KMLI 6000 2300

Variable CellsCell Name Original Value Final Value

$B$5 Fuel to be bought KMLI 6000 2300$C$5 Fuel to be bought KBOS 0 3350$D$5 Fuel to be bought KTEB 2010 3950$E$5 Fuel to be bought KDAL 2590 7300$F$5 Fuel to be bought KMLI 4600 0$B$9 KBOS KMLI 1 0$B$10 KTEB KMLI 0 0$B$11 KDAL KMLI 0 0

ConstraintsCell Name Cell Value Formula

$A$18 Relation between X and Y – 3350 $A$18<=$B$18$A$19 Relation between X and Y – 2010 $A$19<=$B$19$A$20 Relation between X and Y – 2345 $A$20<=$B$20$A$22 Fuel Tank constraints – 9300 $A$22<=$B$22$A$23 Fuel Tank constraints – 7850 $A$23<=$B$23$A$24 Fuel Tank constraints – 9800 $A$24<=$B$24$A$25 Fuel Tank constraints – 11800 $A$25<=$B$25$A$26 Fuel Tank constraints – 8700 $A$26<=$B$26$A$28 Minimum Fuel Constraints – 4500 $A$28>=$B$28$A$29 Minimum Fuel Constraints – 5850 $A$29>=$B$29$A$30 Minimum Fuel Constraints – 4500 $A$30>=$B$30$A$31 Minimum Fuel Constraints – 8700 $A$31>=$B$31$A$33 Minimum Fuel on arrival at KMLI - 8700 $A$33>=$B$33

$A$35 Maximum Ramp Weight - 31900 $A$35<=$B$35$A$36 Maximum Ramp Weight - 30850 $A$36<=$B$36$A$37 Maximum Ramp Weight - 33600 $A$37<=$B$37$A$38 Maximum Ramp Weight - 35600 $A$38<=$B$38$A$40 Maximum Landing weight - 27100 $A$40<=$B$40$A$41 Maximum Landing weight - 28850 $A$41<=$B$41$A$42 Maximum Landing weight - 28300 $A$42<=$B$42$A$43 Maximum Landing weight - 32500 $A$43<=$B$43

Result: Solver found a solution. All Constraints and optimality conditions are satisfied.

Max Time Unlimited, Iterations Unlimited, Precision 0.000001, Use Automatic ScalingMax Subproblems Unlimited, Max Integer Sols Unlimited, Integer Tolerance 1%, Assume NonNegative

IntegerContinContinContinContinContinContinContinContin

Status SlackBinding 0Not Binding 1940Not Binding 4955Not Binding 32000Not Binding 33450Not Binding 31500Not Binding 29500Not Binding 32600Binding 0Not Binding 1350Binding 0Not Binding 4200Binding 0

Not Binding 59000Not Binding 60050Not Binding 57300Not Binding 55300Not Binding 48200Not Binding 46450Not Binding 47000Not Binding 42800

Microsoft Excel 15.0 Sensitivity ReportWorksheet: [JCG global analysis.xlsx]Gulfstream LV FormulationReport Created: 11/8/2014 12:39:43 AM

Variable CellsFinal Reduced Objective

Cell Name Value Cost Coefficient$B$5 Fuel to be bought KMLI 2300 0 1$C$5 Fuel to be bought KBOS 3350 0 0$D$5 Fuel to be bought KTEB 3950 0 0$E$5 Fuel to be bought KDAL 7300 0 0$F$5 Fuel to be bought KMLI 0 0 0$B$9 KBOS KMLI 0 0 0$B$10 KTEB KMLI 0 0 0$B$11 KDAL KMLI 0 0 0

ConstraintsFinal Shadow Constraint

Cell Name Value Price R.H. Side$A$18 Relation between X and Y – 3350 0 0$A$19 Relation between X and Y – 2010 0 0$A$20 Relation between X and Y – 2345 0 0$A$22 Fuel Tank constraints – 9300 0 41300$A$23 Fuel Tank constraints – 7850 0 41300$A$24 Fuel Tank constraints – 9800 0 41300$A$25 Fuel Tank constraints – 11800 0 41300$A$26 Fuel Tank constraints – 8700 0 41300$A$28 Minimum Fuel Constraints – 4500 1 4500$A$29 Minimum Fuel Constraints – 5850 0 4500$A$30 Minimum Fuel Constraints – 4500 0 4500$A$31 Minimum Fuel Constraints – 8700 0 4500$A$33 Minimum Fuel on arrival at KMLI - 8700 0 8700$A$35 Maximum Ramp Weight - 31900 0 90900$A$36 Maximum Ramp Weight - 30850 0 90900$A$37 Maximum Ramp Weight - 33600 0 90900$A$38 Maximum Ramp Weight - 35600 0 90900$A$40 Maximum Landing weight - 27100 0 75300$A$41 Maximum Landing weight - 28850 0 75300$A$42 Maximum Landing weight - 28300 0 75300$A$43 Maximum Landing weight - 32500 0 75300


1.000E+030 10 00 00 0

1.000E+030 01.000E+030 01.000E+030 01.000E+030 0


1350 19401.000E+030 19401.000E+030 49551.000E+030 320001.000E+030 334501.000E+030 315001.000E+030 295001.000E+030 32600

1940 135013501.000E+0304955 194042001.000E+030

29500 42001.000E+030 590001.000E+030 600501.000E+030 573001.000E+030 553001.000E+030 482001.000E+030 464501.000E+030 470001.000E+030 42800

Microsoft Excel 15.0 Limits ReportWorksheet: [JCG global analysis.xlsx]Gulfstream LV FormulationReport Created: 11/8/2014 12:39:43 AM

ObjectiveCell Name Value

$B$5 Fuel to be bought KMLI 2300

Variable Lower Objective UpperCell Name Value Limit Result Limit

$B$5 Fuel to be bought KMLI 2300 2300 2300 31800$C$5 Fuel to be bought KBOS 3350 3350 2300 32850$D$5 Fuel to be bought KTEB 3950 3950 2300 33450$E$5 Fuel to be bought KDAL 7300 7300 2300 36800$F$5 Fuel to be bought KMLI 0 0 2300 32600$B$9 KBOS KMLI 0 0 2300 Err:512$B$10 KTEB KMLI 0 0 2300 Err:512$B$11 KDAL KMLI 0 0 2300 Err:512

ObjectiveResult

318002300230023002300

Err:512Err:512Err:512

qt 2 assingment 4.xlsx

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