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Two-stage time minimizing assignment problem **.

This paper deals with the optimal selection of m out of n facilities to first perform m given primary jobs in Stage-I followed by the remaining (n - m) facilities performing optimally the (n - m) secondary jobs in Stage-II. It is assumed that in both the stages facilities perform in parallel. The aim of the proposed study is to find that set of m facilities performing the primary jobs in Stage-I for which the sum of the overall completion times of jobs in Stage-I and the corresponding optimal completion time of the secondary jobs in Stage-II by the remaining (n -m) facilities is the minimum. The developed solution methodology involves solving the standard time minimizing and cost ...

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