{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

2123 - 5 This is a transportation problem 3 2-8 1 5 4 4-7 2...

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 5. This is a transportation problem. 3 2 -8 1 5 4 4 -7 2 3 7 5 6. +5 6 +5 +5 -5 1 7 4 +4 2 3 8 5 -7 5 3 +8 5 9 4 +0 6 Chapter 5 - Network Modeling : S-5 ------------------------------------------------------------------------------------------ 12. The LP model is: MIN ST 12 X12 + 8 X13 + 15 X14 + 9 X23 + 16 X25 + 6 X34 + 7 X35 + 12 X54 -X12 - X13 - X14 = -15 -X23 - X25 = -15 +X13 + X23 -X34 -X35 = 0 +X14 + X34 + X54 = 20 +X25 +X35 -X54 = 10 0 d Xij d 10 The solution is: X13 = 5, X14 = 10, X23 = 5, X25 = 10, X34 = 10 Minimum total cost = \$455 See file: Prb5_20.xls 13. The optimal solution is: X14=X49=X9,12= 1, Minimum cost = \$8 million See file: Prb5_32.xls 14. a. This is a transportation problem. Note that demand exceeds supply by 20 units. Warehouses Stores 1 5 +20 -30 1 4 6 5 2 3 6 +25 -30 2 4 4 4 3 2 3 +30 -30 3 4 b. MIN 5 X11 + 4 X12 + 6 X13 + 5 X14 +3 X21 + 6 X22 + 4 X23 + 4 X24 +4 X31 + 3 X32 + 3 X33 + 2 X34 -X11 - X12 - X13 - X14 = -30 -X21 - X22 - X23 - X24 = -30 -X31 - X32 - X33 - X34 = -30 +X11 + X21 + X31 + XD1 d +20 +X12 + X22 + X32 + XD2 d +25 +X13 + X23+ X33 + XD3 d +30 +X14 + X24+ X34 + XD4 d +35 Xij t 0 +35 ST Chapter 5 - Network Modeling : S-11 ------------------------------------------------------------------------------------------ 24. a. Chic. 6 17 NY 7 +1 18 18 25 24 95 LA 2 32 Denver 3 50 27 19 30 14 14 24 35 St Lou 4 Memp 5 5 13 35 105 45 San Diego 1 -1 b. MIN 5 X12 + 13 X13 + 45 X15 + 105 X17 + 27 X23 + 19 X24 + 50 X25 + 95 X27 + 14 X34 + 30 X35 + 32 X36 + 14 X43 + 35 X45 + 24 X46 + 35 X54 + 18 X56 + 25 X57 + 24 X64 + 18 X65 + 17 X67 -X12 - X13 - X15 - X17 = -1 +X12 - X23 - X24 - X25 - X27 = 0 +X13 + X23 + X43- X34 - X35 - X36 = 0 +X24 + X34 + X54 + X64 - X43 - X45 - X46 = 0 + X15 + X25 + X35 + X45 + X65 - X54 - X56 - X57 = 0 + X36 + X46 + X56 - X64 - X65 - X67 = 0 + X17 + X27 + X57 + X67 = +1 Xij t 0 ST c. See file: Prb5_14.xls The solution is: X13=X36=X67=1 with a minimum total cost of \$62. Chapter 5 - Network Modeling : S-18 ------------------------------------------------------------------------------------------ 33. a. -30 Doha 0 L.B. = 7.5 (\$0, 999) Tanke r (\$1.20, 999) (\$1.40, 999) Rotter dam +6 5 1 (\$1.35, 999) (\$0.35, 22.5) Toulon (\$0.25, 999) 6 Damietta +15 +0 4 (\$0.20, 999) (\$0.15, 999) (\$0.16, 15) Suez +0 2 (\$0.20, 999) +0 b. c. See file: Prb5_22.xls Total Cost = \$25.43 million U.B . 22.5 999 999 999 999 999 15 999 999 999 999 999 999 Unit Cost (\$1,000,000s ) \$0.35 \$0.00 \$1.20 \$1.40 \$1.35 \$0.20 \$0.16 \$0.27 \$0.28 \$0.19 \$0.25 \$0.20 \$0.15 (\$0.27, 999) (\$0.28, 999) P. Said 3 (\$0.19, 999) Palermo +9 7 Legend: (cost, upper bound) Flow 22.5 7.5 6 1.5 0 7.5 15 0 0 7.5 0 13.5 1.5 L.B. 0 7.5 0 0 0 0 0 0 0 0 0 0 0 From 0 Doha 0 Doha 1 Tanker 1 Tanker 1 Tanker 2 Suez 2 Suez 3 Port Said 3 Port Said 3 Port Said 4 Damietta 4 Damietta 4 Damietta To 2 1 5 6 7 3 4 5 6 7 5 6 7 Suez Tanker Rotterdam Toulon Palermo Port Said Damietta Rotterdam Toulon Palermo Rotterdam Toulon Palermo Chapter 5 - Network Modeling : S-19 ------------------------------------------------------------------------------------------ 34. a. -30 Reg 1 Reg 2 Reg 3 Reg 4 Reg 5 \$6.50 \$7.50 \$7.00 \$8.00 \$8.25 \$7.25 \$6.75 \$7.75 \$7.00 \$7.50 Eustis 7 Pine Hills 6 -40 60 -25 -35 70 -33 40 \$6.75 Sanfor d 8 b. c. See file Prb5_9.xls 20,000 from Region 1 to Pine Hills, 10,000 from Region 1 to Eustis, 40,000 from Region 2 to Pine Hills, 25,000 from Region 3 to Eustis, 35,000 from Region 4 to Sanford, 25,000 from Region 5 to Eustis, 5,000 from Region 5 to Sanford. Total cost \$1,132,500. ...
View Full Document

• Summer '04
• asdasd
• DVD region code, Network Modeling, Suez Tanker Rotterdam Toulon Palermo Port Said Damietta Rotterdam Toulon Palermo Rotterdam Toulon Palermo, Rotterdam Toulon Palermo

{[ snackBarMessage ]}

What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern