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Course: MTS 251, Fall 2009
School: Johns Hopkins
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Excel Microsoft 10.0 Answer Report Worksheet: [RedBrand1.xls]Model Report Created: 2/20/2008 6:16:31 PM Target Cell (Min) Cell Name $B$36 Total cost Destination Adjustable Cells Cell $D$8 Flow $D$9 Flow $D$10 Flow $D$11 Flow $D$12 Flow $D$13 Flow $D$14 Flow $D$15 Flow $D$16 Flow $D$17 Flow $D$18 Flow $D$19 Flow $D$20 Flow $D$21 Flow $D$22 Flow $D$23 Flow $D$24 Flow $D$25 Flow $D$26 Flow $D$27 Flow $D$28 Flow...

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Excel Microsoft 10.0 Answer Report Worksheet: [RedBrand1.xls]Model Report Created: 2/20/2008 6:16:31 PM Target Cell (Min) Cell Name $B$36 Total cost Destination Adjustable Cells Cell $D$8 Flow $D$9 Flow $D$10 Flow $D$11 Flow $D$12 Flow $D$13 Flow $D$14 Flow $D$15 Flow $D$16 Flow $D$17 Flow $D$18 Flow $D$19 Flow $D$20 Flow $D$21 Flow $D$22 Flow $D$23 Flow $D$24 Flow $D$25 Flow $D$26 Flow $D$27 Flow $D$28 Flow $D$29 Flow $D$30 Flow $D$31 Flow $D$32 Flow $D$33 Flow Original Value $0 Final Value $3,260 Name Original Value 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Final Value 0 180 0 0 0 0 0 0 120 0 180 0 0 0 80 200 0 0 0 200 0 0 200 0 180 0 Constraints Cell Name $I$10 Plant net outflow $I$11 Plant net outflow $I$15 Warehouse net outflow $I$16 Warehouse net outflow $I$20 Customer net inflow $I$21 Customer net inflow $I$9 Plant net outflow $D$8 Flow $D$9 Flow $D$10 Flow $D$11 Flow Cell Value Formula 300 $I$10<=$K$10 100 $I$11<=$K$11 0 $I$15=$K$15 0 $I$16=$K$16 400 $I$20>=$K$20 180 $I$21>=$K$21 180 $I$9<=$K$9 0 $D$8<=$F$8 180 $D$9<=$F$9 0 $D$10<=$F$10 0 $D$11<=$F$11 Status Slack Binding 0 Binding 0 Binding 0 Binding 0 Binding 0 Binding 0 Not Binding 20 Not Binding 200 Not Binding 20 Not Binding 200 Not Binding 200 $D$12 $D$13 $D$14 $D$15 $D$16 $D$17 $D$18 $D$19 $D$20 $D$21 $D$22 $D$23 $D$24 $D$25 $D$26 $D$27 $D$28 $D$29 $D$30 $D$31 $D$32 $D$33 $D$8 $D$9 $D$10 $D$11 $D$12 $D$13 $D$14 $D$15 $D$16 $D$17 $D$18 $D$19 $D$20 $D$21 $D$22 $D$23 $D$24 $D$25 $D$26 $D$27 $D$28 $D$29 $D$30 $D$31 $D$32 $D$33 Flow Flow Flow Flow Flow Flow Flow Flow Flow Flow Flow Flow Flow Flow Flow Flow Flow Flow Flow Flow Flow Flow Flow Flow Flow Flow Flow Flow Flow Flow Flow Flow Flow Flow Flow Flow Flow Flow Flow Flow Flow Flow Flow Flow Flow Flow Flow Flow 0 $D$12<=$F$12 0 $D$13<=$F$13 0 $D$14<=$F$14 0 $D$15<=$F$15 120 $D$16<=$F$16 0 $D$17<=$F$17 180 $D$18<=$F$18 0 $D$19<=$F$19 0 $D$20<=$F$20 0 $D$21<=$F$21 80 $D$22<=$F$22 200 $D$23<=$F$23 0 $D$24<=$F$24 0 $D$25<=$F$25 0 $D$26<=$F$26 200 $D$27<=$F$27 0 $D$28<=$F$28 0 $D$29<=$F$29 200 $D$30<=$F$30 0 $D$31<=$F$31 180 $D$32<=$F$32 0 $D$33<=$F$33 0 $D$8>=$E$8 180 $D$9>=$E$9 0 $D$10>=$E$10 0 $D$11>=$E$11 0 $D$12>=$E$12 0 $D$13>=$E$13 0 $D$14>=$E$14 0 $D$15>=$E$15 120 $D$16>=$E$16 0 $D$17>=$E$17 180 $D$18>=$E$18 0 $D$19>=$E$19 0 $D$20>=$E$20 0 $D$21>=$E$21 80 $D$22>=$E$22 200 $D$23>=$E$23 0 $D$24>=$E$24 0 $D$25>=$E$25 0 $D$26>=$E$26 200 $D$27>=$E$27 0 $D$28>=$E$28 0 $D$29>=$E$29 200 $D$30>=$E$30 0 $D$31>=$E$31 180 $D$32>=$E$32 0 $D$33>=$E$33 Not Binding Not Binding Not Binding Not Binding Not Binding Not Binding Not Binding Not Binding Not Binding Not Binding Not Binding Binding Not Binding Not Binding Not Binding Binding Not Binding Not Binding Binding Not Binding Not Binding Not Binding Binding Not Binding Binding Binding Binding Binding Binding Binding Not Binding Binding Not Binding Binding Binding Binding Not Binding Not Binding Binding Binding Binding Not Binding Binding Binding Not Binding Binding Not Binding Binding 200 200 200 200 80 200 20 200 200 200 120 0 200 200 200 0 200 200 0 200 20 200 0 180 0 0 0 0 0 0 120 0 180 0 0 0 200 80 0 0 0 200 0 0 200 0 180 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 A RedBrand shipping model Inputs Common arc capacity B C D E F G H I J K 200 Flow Arc Lower Bound 0 0 180 0 0 0 0 0 0 0 0 0 0 0 0 0 120 0 0 0 180 0 0 0 0 0 0 0 80 0 200 0 0 0 0 0 0 0 200 0 0 0 0 0 200 0 0 0 180 0 0 0 Arc Capacity 200 200 200 200 200 200 200 200 200 200 200 200 200 200 200 200 200 200 200 200 200 200 200 200 200 200 Node balance constraints Plant constraints Node Plant net outflow 1 180 2 300 3 100 Warehouse constraints Node Warehouse net outflow 4 0 5 0 Customer constraints Node Customer net inflow 6 400 7 180 Network structure, flows, and arc capacity constraints Origin Destination Unit Cost 1 2 5 1 3 3 1 4 5 1 5 5 1 6 20 1 7 20 2 1 9 2 3 9 2 4 1 2 5 1 2 6 8 2 7 15 3 1 0.4 3 2 8 3 4 1 3 5 0.5 3 6 10 3 7 12 4 5 1.2 4 6 2 4 7 12 5 4 0.8 5 6 2 5 7 12 6 7 1 7 6 7 Objective to minimize Total cost $3,260 <= <= <= Plant capacity 200 300 100 Required 0 0 Customer demand 400 180 = = >= >= Microsoft Excel 10.0 Answer Report Worksheet: [Section 4.xls]Braneast Report Created: 2/20/2008 8:22:36 PM Target Cell (Min) Cell Name $B$38 MIN C3 Adjustable Cells Cell Name $J$7 N1 C3 $K$7 N1 C4 $L$7 N1 C5 $M$7 N1 C6 $N$7 N1 C7 $J$8 N2 C3 $K$8 N2 C4 $L$8 N2 C5 $M$8 N2 C6 $N$8 N2 C7 $J$9 N3 C3 $K$9 N3 C4 $L$9 N3 C5 $M$9 N3 C6 $N$9 N3 C7 $J$10 N4 C3 $K$10 N4 C4 $L$10 N4 C5 $M$10 N4 C6 $N$10 N4 C7 $J$11 N5 C3 $K$11 N5 C4 $L$11 N5 C5 $M$11 N5 C6 $N$11 N5 C7 $J$12 N6 C3 $K$12 N6 C4 $L$12 N6 C5 $M$12 N6 C6 $N$12 N6 C7 $C$7 C1 N4 $D$7 C1 N5 $E$7 C1 N6 $F$7 C1 N7 $C$8 C2 N4 $D$8 C2 N5 $E$8 C2 N6 $F$8 C2 N7 $C$9 C3 N4 $D$9 C3 N5 $E$9 C3 N6 Original Value Final Value 26 26 Original Value Final Value 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 $F$9 C3 N7 0 0 Constraints Cell Name $B$28 C1 C3 $B$29 C2 C3 $B$30 C3 C3 $B$31 C4 C3 $B$32 C5 C3 $B$33 C6 C3 $B$34 C7 C3 $G$28 N1 $G$29 N2 $G$30 N3 $G$31 N4 $G$32 N5 $G$33 N6 $G$34 N7 Cell Value Formula 1 $B$28=$D$28 1 $B$29=$D$29 1 $B$30=$D$30 1 $B$31=$D$31 1 $B$32=$D$32 1 $B$33=$D$33 1 $B$34=$D$34 1 $G$28=$I$28 1 $G$29=$I$29 1 $G$30=$I$30 1 $G$31=$I$31 1 $G$32=$I$32 1 $G$33=$I$33 1 $G$34=$I$34 Status Slack Binding 0 Binding 0 Binding 0 Binding 0 Binding 0 Binding 0 Binding 0 Binding 0 Binding 0 Binding 0 Binding 0 Binding 0 Binding 0 Binding 0 Example 5.7: Braneast Airlines Decision Variables: C_ij's N4 Chicago Based Flights C1 C2 C3 New York Based Flights N5 N6 1 0 0 0 0 0 0 0 0 N_ij's N7 0 1 0 New York Based Flights N1 N2 N3 N4 N5 N6 Downtime "Cost": C_ij's Chicago Based Flights C1 C2 C3 N4 New York Based Flights N5 N6 2 4 6 1000 1 3 1000 1000 1000 N_ij's N7 9 6 3 New York Based Flights N1 N2 N3 N4 N5 N6 Constraints: Chicago C1 C2 C3 C4 C5 C6 C7 1 1 1 1 1 1 1 = = = = = = = 1 1 1 1 1 1 1 New York N1 N2 N3 N4 N5 N6 N7 1 1 1 1 1 1 1 = = = = = = = 1 1 1 1 1 1 1 Objective Function: MIN 26 C3 0 1 0 0 0 0 Chicago Based Flights C4 C5 C6 0 0 0 0 1 0 0 0 0 1 0 0 C7 0 0 0 0 0 1 1 0 0 0 0 0 C3 3 2 1000 1000 1000 1000 Chicago Based Flights C4 C5 C6 6 8 10 5 7 9 3 5 7 1 3 5 1000 1 3 1000 1000 1 C7 11 10 8 6 4 2
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