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A Cutting Plane Approach to Capacitated Lost-Sizing with Start-Up Costs

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  • CONSTANTINO , Miguel

    (CORE, Université catholique de Louvain, B-1348 Louvain-la-Neuve, Belgium)

Abstract

We consider a mixed integer model for multi-item single machine production planning, incorporating both start-up costs and machine capacity. The single item version of this model is studied from the polyhedral point of view and several families of valid inequalities are derived. For some special classes of inequalities, we give necessary and sufficient facet inducing conditions, and efficient separation algorithms. We use these inequalities in a cutting plane/branch and bound procedure. A set of real life base problems with 5 items and up to 36 periods is solved to optimality.

Suggested Citation

  • CONSTANTINO , Miguel, 1993. "A Cutting Plane Approach to Capacitated Lost-Sizing with Start-Up Costs," LIDAM Discussion Papers CORE 1993038, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvco:1993038
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    File URL: https://sites.uclouvain.be/core/publications/coredp/coredp1993.html
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    Cited by:

    1. Wolsey, Laurence A., 1995. "Progress with single-item lot-sizing," European Journal of Operational Research, Elsevier, vol. 86(3), pages 395-401, November.

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