Prohibited Routes in Transportation Problem - Quantitative Techniques for management

Sometimes there may be situations, where it is not possible to use certain routes in a transportation problem. For example, road construction, bad road conditions, strike, unexpected floods, local traffic rules, etc. Such restrictions (or prohibitions) can be handled in the transportation problem by assigning a very high cost (say M or [infinity]) to the prohibited routes to ensure that routes will not be included in the optimal solution and then the problem is solved in the usual manner.

Example :The following transportation table shows the transportation cost per unit (in Rs.) from sources 1,2, and 3 to destinations A, B, C. Shipment of goods is prohibited from source 2 to destination C. Solve the transportation problem using TORA

Problem for TORA Solution

Problem for TORA Solution

Solution: The entries of the transportation cost are made using TORA
Input Screen:

TP Prohibited Route TORA (Input Screen)

TP Prohibited Route TORA (Input Screen)

Output Screen:

TP Prohibited Route (TORA Output Screen)

TP Prohibited Route (TORA Output Screen)

From the output Schedule, there are no goods that are to be shipped from source 2 to destination C. The total transportation cost is Rs 4600 /-


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