INTRODUCING AN INFINITELY SMALL QUANTITY 'e' IN CASE THE TOTAL NUMBER OF ALLOCATION IS LESS THAN “M + N – 1”

Problem 5.21 [Case when Total Number of Allocations < M + N - 1]

Find the initial basic feasible solution by VAM. Is the number of allocation equal to ‘M + N – 1’? If no, how will you deal with this situation?

Total Number of Allocations

Note: Cell entries are the unit transportation costs.

Solution

 

Initial Feasible Solution by Vogel’s Approximation Method

Initial Feasible Solution

Since Allocations are 5 which is less than m + n – 1 (i.e. 4 + 3 – 1 = 6), an infinitestimally small allocation ...

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