A supermodular relaxation for scheduling with release dates

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Abstract

We consider the scheduling problem of minimizing a weighted sum of completion times under release dates. We present a relaxation which is a supermodular polyhedron. We show that this relaxation is precisely the projection of a time-indexed relaxation introduced by Dyer and Wolsey.

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Goemans, M. X. (1996). A supermodular relaxation for scheduling with release dates. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1084, pp. 288–300). Springer Verlag. https://doi.org/10.1007/3-540-61310-2_22

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