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Mathematical Programming at Oberwolfach II pp 32–43Cite as

Uncapacitated lot-sizing: The convex hull of solutions

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Part of the book series: Mathematical Programming Studies ((MATHPROGRAMM,volume 22))

Abstract

It is well-known that the economic lot-sizing model is well-solved by dynamic programming. On the other hand, the standard mixed integer programming formulation of this problem leads to a very large duality gap. Here the convex hull of the solutions of the economic lot-sizing model is given. In addition, an alternative formulation as a simple plant location problem is examined, and here too the convex hull of solutions is obtained.

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References

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Author information

Authors and Affiliations

  1. Mathematical Institute, Budapest, Hungary

    Imre Barany

  2. CORE, Université Catholique de Louvain, Louvain-la-Neuve, Belgium

    Tony Van Roy & Laurence A. Wolsey

Authors
  1. Imre Barany
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  2. Tony Van Roy
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  3. Laurence A. Wolsey
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Editor information

Bernhard Korte Klaus Ritter

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© 1984 The Mathematical Programming Society, Inc.

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Barany, I., Van Roy, T., Wolsey, L.A. (1984). Uncapacitated lot-sizing: The convex hull of solutions. In: Korte, B., Ritter, K. (eds) Mathematical Programming at Oberwolfach II. Mathematical Programming Studies, vol 22. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0121006

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  • DOI: https://doi.org/10.1007/BFb0121006

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-00914-3

  • Online ISBN: 978-3-642-00915-0

  • eBook Packages: Springer Book Archive

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