Question

In: Statistics and Probability

“It is essential to constrain all shipments in a transportation problem to have integer values to...

“It is essential to constrain all shipments in a transportation problem to have integer values to ensure that the optimal LP solution consists entirely of integer- valued shipments.” Is this statement true or false? Why?

Solutions

Expert Solution

Answer:

It isn't constantly important in the transportation issues to requirement the shipments to numbers. Regardless of whether this limitation isn't given, the quantity of shipments by each course is either a number or very near a whole number.

This is on the grounds that the shipments are obliged so just passable stream is allowed by a course. Additionally the requests of the clients &the limits of the plants likewise should be satisfied.

In any case, every one of these characteristics are numbers. The amounts like interest can't be parts. So in the long run the changing cells additionally bound to become whole numbers or near a whole number.

The whole number limitation might be incorporated while running solver. Be that as it may, it expends similarly additional time and may not give dependable outcomes or it now and again causes the model to have infeasible arrangement.

So rather than that, acquired shipments could be gathered together to closest number in the wake of getting the arrangement.


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