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Multi-stage Adjustable Robust Mixed-Integer Optimization via Iterative Splitting of the Uncertainty set (Revision of CentER Discussion Paper 2014-056)

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  • Postek, K.S.

    (Tilburg University, School of Economics and Management)

  • den Hertog, D.

    (Tilburg University, School of Economics and Management)

Abstract

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Suggested Citation

  • Postek, K.S. & den Hertog, D., 2016. "Multi-stage Adjustable Robust Mixed-Integer Optimization via Iterative Splitting of the Uncertainty set (Revision of CentER Discussion Paper 2014-056)," Other publications TiSEM 08442e3a-d1eb-42b3-8f13-8, Tilburg University, School of Economics and Management.
    • Handle: RePEc:tiu:tiutis:08442e3a-d1eb-42b3-8f13-8af3dc9d85c2
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    References listed on IDEAS

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    1. Karl Frauendorfer, 1988. "Solving SLP Recourse Problems with Arbitrary Multivariate Distributions---The Dependent Case," Mathematics of Operations Research, INFORMS, vol. 13(3), pages 377-394, August.
    2. Xin Chen & Melvyn Sim & Peng Sun, 2007. "A Robust Optimization Perspective on Stochastic Programming," Operations Research, INFORMS, vol. 55(6), pages 1058-1071, December.
    3. Dimitris Bertsimas & Dan A. Iancu & Pablo A. Parrilo, 2010. "Optimality of Affine Policies in Multistage Robust Optimization," Mathematics of Operations Research, INFORMS, vol. 35(2), pages 363-394, May.
    4. Dimitris Bertsimas & Angelos Georghiou, 2015. "Design of Near Optimal Decision Rules in Multistage Adaptive Mixed-Integer Optimization," Operations Research, INFORMS, vol. 63(3), pages 610-627, June.
    5. Dimitris Bertsimas & Vineet Goyal, 2010. "On the Power of Robust Solutions in Two-Stage Stochastic and Adaptive Optimization Problems," Mathematics of Operations Research, INFORMS, vol. 35(2), pages 284-305, May.
    6. Xin Chen & Yuhan Zhang, 2009. "Uncertain Linear Programs: Extended Affinely Adjustable Robust Counterparts," Operations Research, INFORMS, vol. 57(6), pages 1469-1482, December.
    7. Bram L. Gorissen & Hans Blanc & Dick den Hertog & Aharon Ben-Tal, 2014. "Technical Note---Deriving Robust and Globalized Robust Solutions of Uncertain Linear Programs with General Convex Uncertainty Sets," Operations Research, INFORMS, vol. 62(3), pages 672-679, June.
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    Cited by:

    1. Cambier, Adrien & Chardy, Matthieu & Figueiredo, Rosa & Ouorou, Adam & Poss, Michael, 2022. "Optimizing subscriber migrations for a telecommunication operator in uncertain context," European Journal of Operational Research, Elsevier, vol. 298(1), pages 308-321.
    2. Marcio Costa Santos & Agostinho Agra & Michael Poss, 2020. "Robust inventory theory with perishable products," Annals of Operations Research, Springer, vol. 289(2), pages 473-494, June.
    3. Angelos Georghiou & Angelos Tsoukalas & Wolfram Wiesemann, 2019. "Robust Dual Dynamic Programming," Operations Research, INFORMS, vol. 67(3), pages 813-830, May.
    4. 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.
    5. Yanıkoğlu, İhsan & Gorissen, Bram L. & den Hertog, Dick, 2019. "A survey of adjustable robust optimization," European Journal of Operational Research, Elsevier, vol. 277(3), pages 799-813.
    6. Christoph Buchheim & Jannis Kurtz, 2018. "Robust combinatorial optimization under convex and discrete cost uncertainty," EURO Journal on Computational Optimization, Springer;EURO - The Association of European Operational Research Societies, vol. 6(3), pages 211-238, September.
    7. Feng, Wei & Feng, Yiping & Zhang, Qi, 2021. "Multistage robust mixed-integer optimization under endogenous uncertainty," European Journal of Operational Research, Elsevier, vol. 294(2), pages 460-475.
    8. Marcio Costa Santos & Michael Poss & Dritan Nace, 2018. "A perfect information lower bound for robust lot-sizing problems," Annals of Operations Research, Springer, vol. 271(2), pages 887-913, December.
    9. Anirudh Subramanyam & Frank Mufalli & José M. Lí?nez-Aguirre & Jose M. Pinto & Chrysanthos E. Gounaris, 2021. "Robust Multiperiod Vehicle Routing Under Customer Order Uncertainty," Operations Research, INFORMS, vol. 69(1), pages 30-60, January.
    10. Hossein Hashemi Doulabi & Patrick Jaillet & Gilles Pesant & Louis-Martin Rousseau, 2021. "Exploiting the Structure of Two-Stage Robust Optimization Models with Exponential Scenarios," INFORMS Journal on Computing, INFORMS, vol. 33(1), pages 143-162, January.
    11. Walid Ben-Ameur & Adam Ouorou & Guanglei Wang & Mateusz Żotkiewicz, 2018. "Multipolar robust optimization," EURO Journal on Computational Optimization, Springer;EURO - The Association of European Operational Research Societies, vol. 6(4), pages 395-434, December.
    12. Postek, Krzysztof & den Hertog, Dick & Kind, Jarl & Pustjens, Chris, 2019. "Adjustable robust strategies for flood protection," Omega, Elsevier, vol. 82(C), pages 142-154.
    13. Postek, Krzysztof, 2017. "Distributionally and integer adjustable robust optimization," Other publications TiSEM 74785c83-df0c-4570-828b-f, Tilburg University, School of Economics and Management.
    14. Postek, Krzysztof & den Hertog, Dick & Kind, J. & Pustjens, Chris, 2016. "Adjustable Robust Strategies for Flood Protection," Other publications TiSEM 6e85c2ff-32dd-4c7e-8d95-a, Tilburg University, School of Economics and Management.
    15. Bakker, Hannah & Dunke, Fabian & Nickel, Stefan, 2020. "A structuring review on multi-stage optimization under uncertainty: Aligning concepts from theory and practice," Omega, Elsevier, vol. 96(C).
    16. Nicolas Kämmerling & Jannis Kurtz, 2020. "Oracle-based algorithms for binary two-stage robust optimization," Computational Optimization and Applications, Springer, vol. 77(2), pages 539-569, November.
    17. Angelos Georghiou & Angelos Tsoukalas & Wolfram Wiesemann, 2020. "A Primal–Dual Lifting Scheme for Two-Stage Robust Optimization," Operations Research, INFORMS, vol. 68(2), pages 572-590, March.
    18. Jiu, Song, 2022. "Robust omnichannel retail operations with the implementation of ship-from-store," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 157(C).
    19. Dimitris Bertsimas & Frans J. C. T. de Ruiter, 2016. "Duality in Two-Stage Adaptive Linear Optimization: Faster Computation and Stronger Bounds," INFORMS Journal on Computing, INFORMS, vol. 28(3), pages 500-511, August.
    20. Dimitris Bertsimas & Iain Dunning, 2016. "Multistage Robust Mixed-Integer Optimization with Adaptive Partitions," Operations Research, INFORMS, vol. 64(4), pages 980-998, August.
    21. Ward Romeijnders & Krzysztof Postek, 2021. "Piecewise Constant Decision Rules via Branch-and-Bound Based Scenario Detection for Integer Adjustable Robust Optimization," INFORMS Journal on Computing, INFORMS, vol. 33(1), pages 390-400, January.
    22. 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.

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