company is producing a single product and is selling it through five agencies situated in different cities. All of a sudden, there is a demand for the product in another five cities not having any agency of the company. The company is faced with the problem of deciding on how to assign the existing agencies to despatch the products to needy cities in such a way that the total travelling distance is minimized. Determine the optimum assignment schedule. The distance between the surplus and deficit cities (in K.M.) is given below. Surplus Cities Deficit Cities A1 B1 C1 D1 E1 A 7 5 9 8 11 B 9 12 7 11 10 C 8 5 4 6 9 D 7 3 6 9 5 E 4 6 7 5 11
company is producing a single product and is selling it through five agencies situated in different cities. All of a sudden, there is a demand for the product in another five cities not having any agency of the company. The company is faced with the problem of deciding on how to assign the existing agencies to despatch the products to needy cities in such a way that the total travelling distance is minimized. Determine the optimum assignment schedule. The distance between the surplus and deficit cities (in K.M.) is given below. Surplus Cities Deficit Cities A1 B1 C1 D1 E1 A 7 5 9 8 11 B 9 12 7 11 10 C 8 5 4 6 9 D 7 3 6 9 5 E 4 6 7 5 11
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section: Chapter Questions
Problem 68P
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Question
. A company is producing a single product and is selling it through five agencies situated in different cities. All of a sudden, there is a demand for the product in another five cities not having any agency of the company. The company is faced with the problem of deciding on how to assign the existing agencies to despatch the products to needy cities in such a way that the total travelling distance is minimized. Determine the optimum assignment
Surplus Cities |
Deficit Cities |
||||
A1 |
B1 |
C1 |
D1 |
E1 |
|
A |
7 |
5 |
9 |
8 |
11 |
B |
9 |
12 |
7 |
11 |
10 |
C |
8 |
5 |
4 |
6 |
9 |
D |
7 |
3 |
6 |
9 |
5 |
E |
4 |
6 |
7 |
5 |
11 |
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