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Convex approximations for a class of mixed-integer recourse models

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  • Vlerk, Maarten H. van der

    (Groningen University)

Abstract

We consider mixed-integer recourse (MIR) models with a single recourse constraint.We relate the secondstage value function of such problems to the expected simple integer recourse (SIR) shortage function. This allows to construct convex approximations for MIR problems by the same approach used for SIR models.

Suggested Citation

  • Vlerk, Maarten H. van der, 2004. "Convex approximations for a class of mixed-integer recourse models," Research Report 04A28, University of Groningen, Research Institute SOM (Systems, Organisations and Management).
    • Handle: RePEc:gro:rugsom:04a28
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    File URL: http://irs.ub.rug.nl/ppn/274751941
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    References listed on IDEAS

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    1. KLEIN HANEVELD, W. K. & STOUGIE, L. & van der VLERK, M. H., 1996. "An algorithm for the construction of convex hulls in simple integer recourse programming," LIDAM Reprints CORE 1215, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    2. Willem Klein Haneveld & Maarten van der Vlerk, 1999. "Stochastic integer programming:General models and algorithms," Annals of Operations Research, Springer, vol. 85(0), pages 39-57, January.
    3. repec:dgr:rugsom:03a01 is not listed on IDEAS
    4. Klein Haneveld, Willem K. & Stougie, Leen & Vlerk, Maarten H. van der, 2004. "Simple Integer Recourse Models: Convexity and Convex Approximations," Research Report 04A21, University of Groningen, Research Institute SOM (Systems, Organisations and Management).
    5. Rüdiger Schultz, 1993. "Continuity Properties of Expectation Functions in Stochastic Integer Programming," Mathematics of Operations Research, INFORMS, vol. 18(3), pages 578-589, August.
    6. repec:dgr:rugsom:04a21 is not listed on IDEAS
    7. Vlerk, Maarten H. van der, 2003. "Simplification of recourse models by modification of recourse data," Research Report 03A01, University of Groningen, Research Institute SOM (Systems, Organisations and Management).
    8. KLEIN HANEVELD, Willem K. & STOUGIE, Leen & VAN der VLERK, M.H., 1995. "On the Convex Hull of the Composition of a Separable and a Linear Function," LIDAM Discussion Papers CORE 1995070, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    9. Stein W. Wallace & Stein-Erik Fleten, 2002. "Stochastic programming in energy," GE, Growth, Math methods 0201001, University Library of Munich, Germany, revised 13 Nov 2003.
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