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A supermodular relaxation for scheduling with release dates

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Integer Programming and Combinatorial Optimization (IPCO 1996)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1084))

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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.

Part of this work was supported by NSF contract 9302476-CCR, a Sloan Foundation Fellowship, and ARPA Contract N00014-95-1-1246.

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Authors and Affiliations

  1. Dept. of Mathematics, M.I.T., Room 2-382, 02139, Cambridge, MA

    Michel X. Goemans

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  1. Michel X. Goemans
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William H. Cunningham S. Thomas McCormick Maurice Queyranne

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© 1996 Springer-Verlag Berlin Heidelberg

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Goemans, M.X. (1996). A supermodular relaxation for scheduling with release dates. In: Cunningham, W.H., McCormick, S.T., Queyranne, M. (eds) Integer Programming and Combinatorial Optimization. IPCO 1996. Lecture Notes in Computer Science, vol 1084. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-61310-2_22

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  • DOI: https://doi.org/10.1007/3-540-61310-2_22

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-61310-7

  • Online ISBN: 978-3-540-68453-4

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