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
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Author:WINSTON, Wayne L.
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. 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 schedule. The  distance between the surplus and deficit cities (in K.M.) is given below.  

Surplus Cities

Deficit Cities 

 

A

B

C

D

E1

11

12 

11 

10

9

5

11

 

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