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Exact Robust Counterparts of Ambiguous Stochastic Constraints Under Mean and Dispersion Information

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  • Postek, Krzysztof

    (Tilburg University, Center For Economic Research)

  • Ben-Tal, A.

    (Tilburg University, Center For Economic Research)

  • den Hertog, Dick

    (Tilburg University, Center For Economic Research)

  • Melenberg, Bertrand

    (Tilburg University, Center For Economic Research)

Abstract

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  • Postek, Krzysztof & Ben-Tal, A. & den Hertog, Dick & Melenberg, Bertrand, 2015. "Exact Robust Counterparts of Ambiguous Stochastic Constraints Under Mean and Dispersion Information," Discussion Paper 2015-030, Tilburg University, Center for Economic Research.
    • Handle: RePEc:tiu:tiucen:d718e419-a375-4707-b206-eb5ab1557e66
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    References listed on IDEAS

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    1. Postek, K.S. & den Hertog, D. & Melenberg, B., 2014. "Tractable Counterparts of Distributionally Robust Constraints on Risk Measures," Other publications TiSEM c3a1df3e-f338-4989-806a-d, Tilburg University, School of Economics and Management.
    2. Wenqing Chen & Melvyn Sim & Jie Sun & Chung-Piaw Teo, 2010. "From CVaR to Uncertainty Set: Implications in Joint Chance-Constrained Optimization," Operations Research, INFORMS, vol. 58(2), pages 470-485, April.
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    4. Postek, K.S. & den Hertog, D. & Melenberg, B., 2014. "Tractable Counterparts of Distributionally Robust Constraints on Risk Measures," Discussion Paper 2014-031, Tilburg University, Center for Economic Research.
    5. Georgia Perakis & Guillaume Roels, 2008. "Regret in the Newsvendor Model with Partial Information," Operations Research, INFORMS, vol. 56(1), pages 188-203, February.
    6. de Ruiter, F.J.C.T. & Ben-Tal, A. & Brekelmans, R.C.M. & den Hertog, D., 2014. "Adjustable Robust Optimizations with Decision Rules Based on Inexact Revealed Data," Discussion Paper 2014-003, Tilburg University, Center for Economic Research.
    7. G. C. Calafiore & L. El Ghaoui, 2006. "On Distributionally Robust Chance-Constrained Linear Programs," Journal of Optimization Theory and Applications, Springer, vol. 130(1), pages 1-22, July.
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    10. Wolfram Wiesemann & Daniel Kuhn & Melvyn Sim, 2014. "Distributionally Robust Convex Optimization," Operations Research, INFORMS, vol. 62(6), pages 1358-1376, December.
    11. Dimitris Bertsimas & Vineet Goyal & Xu Andy Sun, 2011. "A Geometric Characterization of the Power of Finite Adaptability in Multistage Stochastic and Adaptive Optimization," Mathematics of Operations Research, INFORMS, vol. 36(1), pages 24-54, February.
    12. A. Ben-Tal & A. Nemirovski, 1998. "Robust Convex Optimization," Mathematics of Operations Research, INFORMS, vol. 23(4), pages 769-805, November.
    13. Ben-Tal, A. & den Hertog, D., 2011. "Immunizing Conic Quadratic Optimization Problems Against Implementation Errors," Other publications TiSEM 9f3fba48-8501-4ec8-9241-5, Tilburg University, School of Economics and Management.
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    15. Karthik Natarajan & Dessislava Pachamanova & Melvyn Sim, 2008. "Incorporating Asymmetric Distributional Information in Robust Value-at-Risk Optimization," Management Science, INFORMS, vol. 54(3), pages 573-585, March.
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    19. Aharon Ben-Tal & Dick den Hertog & Anja De Waegenaere & Bertrand Melenberg & Gijs Rennen, 2013. "Robust Solutions of Optimization Problems Affected by Uncertain Probabilities," Management Science, INFORMS, vol. 59(2), pages 341-357, April.
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    21. Gastwirth, Joseph L, 1974. "Large Sample Theory of Some Measures of Income Inequality," Econometrica, Econometric Society, vol. 42(1), pages 191-196, January.
    22. Erick Delage & Yinyu Ye, 2010. "Distributionally Robust Optimization Under Moment Uncertainty with Application to Data-Driven Problems," Operations Research, INFORMS, vol. 58(3), pages 595-612, June.
    23. Ben-Tal, A. & den Hertog, D., 2011. "Immunizing Conic Quadratic Optimization Problems Against Implementation Errors," Discussion Paper 2011-060, Tilburg University, Center for Economic Research.
    24. Elsayed Amir, 2012. "On uses of mean absolute deviation: decomposition, skewness and correlation coefficients," METRON, Springer;Sapienza Università di Roma, vol. 70(2), pages 145-164, August.
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    Cited by:

    1. Zhen, Jianzhe & den Hertog, Dick, 2015. "Robust Solutions for Systems of Uncertain Linear Equations," Discussion Paper 2015-044, Tilburg University, Center for Economic Research.
    2. Liu, Yongchao & Xu, Huifu & Yang, Shu-Jung Sunny & Zhang, Jin, 2018. "Distributionally robust equilibrium for continuous games: Nash and Stackelberg models," European Journal of Operational Research, Elsevier, vol. 265(2), pages 631-643.
    3. Postek, Krzysztof & Romeijnders, Ward & den Hertog, Dick & van der Vlerk, Maartne H., 2016. "Efficient Methods for Several Classes of Ambiguous Stochastic Programming Problems under Mean-MAD Information," Discussion Paper 2016-039, Tilburg University, Center for Economic Research.
    4. Grani A. Hanasusanto & Vladimir Roitch & Daniel Kuhn & Wolfram Wiesemann, 2017. "Ambiguous Joint Chance Constraints Under Mean and Dispersion Information," Operations Research, INFORMS, vol. 65(3), pages 751-767, June.
    5. Weijun Xie & Shabbir Ahmed, 2018. "Distributionally robust simple integer recourse," Computational Management Science, Springer, vol. 15(3), pages 351-367, October.
    6. Wang, Yu & Zhang, Yu & Tang, Jiafu, 2019. "A distributionally robust optimization approach for surgery block allocation," European Journal of Operational Research, Elsevier, vol. 273(2), pages 740-753.
    7. Postek, Krzysztof & Romeijnders, Ward & den Hertog, Dick & van der Vlerk, Maartne H., 2016. "Efficient Methods for Several Classes of Ambiguous Stochastic Programming Problems under Mean-MAD Information," Other publications TiSEM a03f895f-b941-41a9-84e0-b, Tilburg University, School of Economics and Management.
    8. Zhen, Jianzhe & den Hertog, Dick, 2015. "Robust Solutions for Systems of Uncertain Linear Equations," Other publications TiSEM d072bdb9-4168-4522-90d8-1, Tilburg University, School of Economics and Management.
    9. Antonio J. Conejo & Nicholas G. Hall & Daniel Zhuoyu Long & Runhao Zhang, 2021. "Robust Capacity Planning for Project Management," INFORMS Journal on Computing, INFORMS, vol. 33(4), pages 1533-1550, October.

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    Keywords

    robust optimization; ambiguity; stochastic programming; chance constraints;
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