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Operations Research




                    Notes          Inference
                                   Therefore, the minimum man hours required to complete the assignment are 41.




                                      Task  Show that the optimal solution of an assignment problem is unchanged if we add
                                     or subtract the same constant to the entries of any row or column of the cost matrix.

                                   7.4 Hungarian Approach


                                   The systematic procedure to be followed while solving assignment problems under Hungarian
                                   Approach is picturized in the chart shown below:

                                               Figure  5.1:  Diagrammatic Representation  of  Hungarian  Approach

















































                                   The credit of developing an algorithm goes to Hungarian mathematician D. Konig and later on,
                                   it became popular as Hungarian method. This technique is used to solve more typical problems,
                                   viz.,  assignment of chines to  jobs, assignment of salesmen to sales  territories, assignment  of
                                   workers to  various tasks, vehicles to routes, contracts to bidders, etc.




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