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Handling CVaR objectives and constraints in two-stage stochastic models

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  • Fábián, Csaba I.

Abstract

Based on the polyhedral representation of Künzi-Bay and Mayer [Künzi-Bay, A., Mayer, J., 2006. Computational aspects of minimizing conditional value-at-risk. Computational Management Science 3, 3-27] , we propose decomposition frameworks for handling CVaR objectives and constraints in two-stage stochastic models. For the solution of the decomposed problems we propose special Level-type methods.

Suggested Citation

  • Fábián, Csaba I., 2008. "Handling CVaR objectives and constraints in two-stage stochastic models," European Journal of Operational Research, Elsevier, vol. 191(3), pages 888-911, December.
    • Handle: RePEc:eee:ejores:v:191:y:2008:i:3:p:888-911
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    References listed on IDEAS

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    1. Peter Kall & János Mayer, 2005. "Stochastic Linear Programming," International Series in Operations Research and Management Science, Springer, number 978-0-387-24440-2, April.
    2. Alexandra Künzi-Bay & János Mayer, 2006. "Computational aspects of minimizing conditional value-at-risk," Computational Management Science, Springer, vol. 3(1), pages 3-27, January.
    3. repec:dgr:rugsom:02a33 is not listed on IDEAS
    4. Jacek Gondzio & Andreas Grothey, 2007. "Parallel interior-point solver for structured quadratic programs: Application to financial planning problems," Annals of Operations Research, Springer, vol. 152(1), pages 319-339, July.
    5. Philippe Artzner & Freddy Delbaen & Jean‐Marc Eber & David Heath, 1999. "Coherent Measures of Risk," Mathematical Finance, Wiley Blackwell, vol. 9(3), pages 203-228, July.
    6. Norbert J. Jobst & Stavros A. Zenios, 2001. "The Tail that Wags the Dog: Integrating Credit Risk in Asset Portfolios," Journal of Risk Finance, Emerald Group Publishing Limited, vol. 3(1), pages 31-43, April.
    7. A. Charnes & W. W. Cooper & G. H. Symonds, 1958. "Cost Horizons and Certainty Equivalents: An Approach to Stochastic Programming of Heating Oil," Management Science, INFORMS, vol. 4(3), pages 235-263, April.
    8. Klein Haneveld, Willem K. & Vlerk, Maarten H. van der, 2002. "Integrated chance constraints: reduced forms and an algorithm," Research Report 02A33, University of Groningen, Research Institute SOM (Systems, Organisations and Management).
    9. Rockafellar, R. Tyrrell & Uryasev, Stanislav, 2002. "Conditional value-at-risk for general loss distributions," Journal of Banking & Finance, Elsevier, vol. 26(7), pages 1443-1471, July.
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