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What is Optimality Test and how to perform optimality test?
In a transportation problem, Optimality test is carried out by figuring opportunity costs of each empty cell in a transportation matrix. Optimality is pointed by the nature of these opportunity costs and no other transportation route will further reduce the cost of transportation.
- The test is generally performed upon a degenerate feasible solution to ascertain whether the result is optimal.
- Performing optimality test requires two necessary conditions to be fulfilled:
- Number of allocations should be: m + n – 1, where ‘m’ represents the number of rows and ‘n’ represents the number of columns.
- The mentioned m + n – 1 allocation needs to be at an independent position, such that, the allocations can neither be increased nor decreased without changing the position of allocations or without violating row and column restrictions.
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