SOLVING MAXIMIZATION PROBLEMS USING COMPUTERS - Quantitative Techniques for management

As we know, the transportation model is also used for solving assignment problems. In transportation model, the objective is to minimize the cost of transportation. For a maximization problem, the objective is to maximize the profit or returns. While entering the values the maximization matrix must be converted to minimization matrix by subtracting all the values with the highest value cell. This is shown by solving the solved problem Ex. The given problem is maximization of sales.

Maximization Problem

Maximization Problem

Taking the highest value in the given maximization matrix, i.e., 41 and subtracting all other values, we get the following input matrix:

maximization matrix

Input screen:

Solving Maximization Using TORA (Input Screen)

Solving Maximization Using TORA (Input Screen)

Part of the output screen is shown below in Figure.

Part of Output Screen (Enlarged)

Part of Output Screen (Enlarged)

The output given by TORA is the assignment schedule with the objective of minimization. The given problem is to maximize the sales. To arrive at the maximize sales value, add the assigned values from the given matrix, as shown in Table.

Assignment Schedule

Assignment Schedule


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