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Scenario Updating Method for Stochastic Mixed-integer Programming Problems

  • Conference paper
Operations Research Proceedings 2002

Part of the book series: Operations Research Proceedings 2002 ((ORP,volume 2002))

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Abstract

In this paper, we propose an approximation scheme to solve large stochastic mixed-integer programming (SMIP) problems with fixed recourse. We refer to this as the Scenari o Updating Method. The algorithm is based on solving instances of the problem, which cont ain only a subset of the scenarios in the scenario tree. At each iteration, th e subset of scenarios is updated by adding only those scenarios which suggest a significant potential for change in the objective function value. The algorithm is terminated when the potential for change is insignificant.Different selection and updating rules are discussed.

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References

  1. Birge J.R., Louveaux F. (1997) Introduction to Stochastic Programming. Springer, Berlin Heidelberg.

    Google Scholar 

  2. Caree C.C., Schultz R. (1999) Dual Decomposition in Stochastic Integer Programming. Operations Research Letters 24 37–45.

    Article  Google Scholar 

  3. Dupacova J. (1995) Postoptimality for Multistage stochastic linear programs. Annals of Operations Research 56, pp. 65–78.

    Article  Google Scholar 

  4. Dupacova J., Consigli G. and Wallace S.W. (2000) Scenarios for Multistage Stochastic Programming. Annals of Operations Research 100 25–53.

    Article  Google Scholar 

  5. Hoyland K., Wallace S.W. (2001) Generating scenario trees for multistage decision problems. Management Science 47 295–307.

    Article  Google Scholar 

  6. Klaassen P. (1998) Financial Asset-Pricing Theory and Stochastic Programming Models for Asset/Liability Management: A Synthesis. Management Science 44 31–48.

    Article  Google Scholar 

  7. Kouwenberg R.R.P. (2001) Scenario generation and stochastic programming models for asset liability management. European Journal of Operational Research 134 51–64.

    Article  Google Scholar 

  8. Lekketangen A., Woodruff D.L. (1996) Progressive Hedging and Tabu Search Applied to Mixed Integer (0,1) Multi-stage Stochastic Programming. Journal of Heuristics 2 111–128.

    Google Scholar 

  9. Lulli G., Sen S. (2002) A Branch-and-Price Algorithm for Multi-stage Stochastic Integer Programming with Applicat ion to Stochastic Batch-Sizing Problems. Submitted for pubblication.

    Google Scholar 

  10. Pflug G.Ch. (2001) Scenario tree generation for multiperiod financial optimization by optimal discretization. Mathematical Programming 89 251–271.

    Article  Google Scholar 

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© 2003 Springer-Verlag Berlin Heidelberg

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Lulli, G., Sen, S. (2003). Scenario Updating Method for Stochastic Mixed-integer Programming Problems. In: Leopold-Wildburger, U., Rendl, F., Wäscher, G. (eds) Operations Research Proceedings 2002. Operations Research Proceedings 2002, vol 2002. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55537-4_65

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  • DOI: https://doi.org/10.1007/978-3-642-55537-4_65

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-00387-8

  • Online ISBN: 978-3-642-55537-4

  • eBook Packages: Springer Book Archive

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