Скачать или смотреть Assignment Problem - 2 Enumeration Method

Operations Research (OR)
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Assignment Problem

Enumeration Method:
In this method, a list of all possible assignments among the given resources (like men, machines, etc.) and activities (like jobs, sales areas, etc.) is prepared. Then an assignment involving the minimum cost (or maximum profit), time or distance is selected. If two or more assignments have the same minimum cost (or maximum profit), time or distance, the problem has multiple optimal solutions. In general, if an assignment problem involves n workers/jobs, then there are in total n! Possible assignments. As an example, for an n=3 workers/jobs problem, we have to evaluate a total of 3! or 6 assignments. However, when n is large, the method is unsuitable for manual calculations. Hence, this method is suitable only for small 'n'.

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