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Efficient polynomial algorithms for special cases of weighted early/tardy scheduling with release dates and a common due date

In this paper we consider a single machine scheduling problem with integer release dates and a common due date. The objective is to minimise the weighted sum of the jobs' earliness and tardiness costs. We present an efficient polynomial algorithm for the unit processing time case. We also show how to calculate, for the general case, the minimum non-restrictive due date.

scheduling; early/tardy; release dates


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