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Uncertain Linear Programs: Extended Affinely Adjustable Robust Counterparts

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Cited by:

  1. 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.
  2. T. D. Chuong & V. Jeyakumar, 2025. "Adjustable robust multiobjective linear optimization: Pareto optimal solutions via conic programming," Annals of Operations Research, Springer, vol. 346(2), pages 895-916, March.
  3. Dimitris Bertsimas & Shimrit Shtern & Bradley Sturt, 2022. "Technical Note—Two-Stage Sample Robust Optimization," Operations Research, INFORMS, vol. 70(1), pages 624-640, January.
  4. Josette Ayoub & Michael Poss, 2016. "Decomposition for adjustable robust linear optimization subject to uncertainty polytope," Computational Management Science, Springer, vol. 13(2), pages 219-239, April.
  5. Postek, K.S. & den Hertog, D., 2014. "Multi-stage Adjustable Robust Mixed-Integer Optimization via Iterative Splitting of the Uncertainty set," Other publications TiSEM 8649012b-1bb0-4d34-83f1-7, Tilburg University, School of Economics and Management.
  6. Bertsimas, Dimitris & McCord, Christopher & Sturt, Bradley, 2023. "Dynamic optimization with side information," European Journal of Operational Research, Elsevier, vol. 304(2), pages 634-651.
  7. Mehran Poursoltani & Erick Delage, 2022. "Adjustable Robust Optimization Reformulations of Two-Stage Worst-Case Regret Minimization Problems," Operations Research, INFORMS, vol. 70(5), pages 2906-2930, September.
  8. Huan Zhang & Xiangkai Sun & Kok Lay Teo, 2024. "Exact SDP Reformulations for Adjustable Robust Quadratic Optimization with Affine Decision Rules," Journal of Optimization Theory and Applications, Springer, vol. 203(3), pages 2206-2232, December.
  9. Mengshi Lu & Zuo‐Jun Max Shen, 2021. "A Review of Robust Operations Management under Model Uncertainty," Production and Operations Management, Production and Operations Management Society, vol. 30(6), pages 1927-1943, June.
  10. Gabrel, Virginie & Murat, Cécile & Thiele, Aurélie, 2014. "Recent advances in robust optimization: An overview," European Journal of Operational Research, Elsevier, vol. 235(3), pages 471-483.
  11. Álvaro Lorca & X. Andy Sun & Eugene Litvinov & Tongxin Zheng, 2016. "Multistage Adaptive Robust Optimization for the Unit Commitment Problem," Operations Research, INFORMS, vol. 64(1), pages 32-51, February.
  12. Shiva Zokaee & Armin Jabbarzadeh & Behnam Fahimnia & Seyed Jafar Sadjadi, 2017. "Robust supply chain network design: an optimization model with real world application," Annals of Operations Research, Springer, vol. 257(1), pages 15-44, October.
  13. Angelos Georghiou & Angelos Tsoukalas & Wolfram Wiesemann, 2019. "Robust Dual Dynamic Programming," Operations Research, INFORMS, vol. 67(3), pages 813-830, May.
  14. Gorissen, Bram L. & den Hertog, Dick, 2013. "Robust counterparts of inequalities containing sums of maxima of linear functions," European Journal of Operational Research, Elsevier, vol. 227(1), pages 30-43.
  15. Johannes O. Royset & Miguel A. Lejeune, 2025. "Risk-Adaptive Local Decision Rules," Operations Research, INFORMS, vol. 73(4), pages 2125-2145, July.
  16. Oğuz Solyalı & Jean-François Cordeau & Gilbert Laporte, 2016. "The Impact of Modeling on Robust Inventory Management Under Demand Uncertainty," Management Science, INFORMS, vol. 62(4), pages 1188-1201, April.
  17. Yun Fong Lim & Song Jiu & Marcus Ang, 2021. "Integrating Anticipative Replenishment Allocation with Reactive Fulfillment for Online Retailing Using Robust Optimization," Manufacturing & Service Operations Management, INFORMS, vol. 23(6), pages 1616-1633, November.
  18. Borrero, Juan S. & Sauré, Denis & Trigo, Natalia, 2025. "Optimal sequential stochastic shortest path interdiction," European Journal of Operational Research, Elsevier, vol. 326(3), pages 641-655.
  19. Li Chen & Melvyn Sim, 2025. "Robust CARA Optimization," Operations Research, INFORMS, vol. 73(3), pages 1459-1478, May.
  20. Xie, Chen & Wang, Liangquan & Yang, Chaolin, 2021. "Robust inventory management with multiple supply sources," European Journal of Operational Research, Elsevier, vol. 295(2), pages 463-474.
  21. 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.
  22. Bredström, D. & Flisberg, P. & Rönnqvist, M., 2013. "A new method for robustness in rolling horizon planning," International Journal of Production Economics, Elsevier, vol. 143(1), pages 41-52.
  23. Ayşe N. Arslan & Boris Detienne, 2022. "Decomposition-Based Approaches for a Class of Two-Stage Robust Binary Optimization Problems," INFORMS Journal on Computing, INFORMS, vol. 34(2), pages 857-871, March.
  24. Rosario Paradiso & Angelos Georghiou & Said Dabia & Denise Tönissen, 2025. "Exact and Approximate Schemes for Robust Optimization Problems with Decision-Dependent Information Discovery," INFORMS Journal on Computing, INFORMS, vol. 37(6), pages 1457-1477, November.
  25. 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.
  26. Thai Doan Chuong & Vaithilingam Jeyakumar, 2020. "Generalized Farkas Lemma with Adjustable Variables and Two-Stage Robust Linear Programs," Journal of Optimization Theory and Applications, Springer, vol. 187(2), pages 488-519, November.
  27. 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)," Discussion Paper 2016-006, Tilburg University, Center for Economic Research.
  28. Amir Ardestani-Jaafari & Erick Delage, 2016. "Robust Optimization of Sums of Piecewise Linear Functions with Application to Inventory Problems," Operations Research, INFORMS, vol. 64(2), pages 474-494, April.
  29. Dimitris Bertsimas & Melvyn Sim & Meilin Zhang, 2019. "Adaptive Distributionally Robust Optimization," Management Science, INFORMS, vol. 65(2), pages 604-618, February.
  30. Haolin Ruan & Zhi Chen & Chin Pang Ho, 2023. "Adjustable Distributionally Robust Optimization with Infinitely Constrained Ambiguity Sets," INFORMS Journal on Computing, INFORMS, vol. 35(5), pages 1002-1023, September.
  31. Eojin Han & Omid Nohadani, 2025. "Nonlinear Decision Rules Made Scalable by Nonparametric Liftings," Management Science, INFORMS, vol. 71(4), pages 3449-3471, April.
  32. Elif Garajová & Milan Hladík, 2019. "On the optimal solution set in interval linear programming," Computational Optimization and Applications, Springer, vol. 72(1), pages 269-292, January.
  33. Jie Hu & Zhi Chen & Shuming Wang, 2025. "Budget-Driven Multiperiod Hub Location: A Robust Time-Series Approach," Operations Research, INFORMS, vol. 73(2), pages 613-631, March.
  34. 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.
  35. 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.
  36. 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.
  37. Ali Haddad-Sisakht & Sarah M. Ryan, 2018. "Conditions under which adjustability lowers the cost of a robust linear program," Annals of Operations Research, Springer, vol. 269(1), pages 185-204, October.
  38. Filipe Rodrigues & Agostinho Agra & Cristina Requejo & Erick Delage, 2021. "Lagrangian Duality for Robust Problems with Decomposable Functions: The Case of a Robust Inventory Problem," INFORMS Journal on Computing, INFORMS, vol. 33(2), pages 685-705, May.
  39. Farough Motamed Nasab & Zukui Li, 2023. "Multistage Adaptive Robust Binary Optimization: Uncertainty Set Lifting versus Partitioning through Breakpoints Optimization," Mathematics, MDPI, vol. 11(18), pages 1-24, September.
  40. 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.
  41. Aakil M. Caunhye & Nazli Yonca Aydin & H. Sebnem Duzgun, 2020. "Robust post-disaster route restoration," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 42(4), pages 1055-1087, December.
  42. Ning Zhang & Chang Fang, 2020. "Saddle point approximation approaches for two-stage robust optimization problems," Journal of Global Optimization, Springer, vol. 78(4), pages 651-670, December.
  43. Angelos Georghiou & Angelos Tsoukalas & Wolfram Wiesemann, 2026. "On the Optimality of Affine Decision Rules in Distributionally Robust Optimization," Management Science, INFORMS, vol. 72(2), pages 1456-1471, February.
  44. Fu, Chenyi & Ma, Shoufeng & Zhu, Ning & He, Qiao-Chu & Yang, Hai, 2022. "Bike-sharing inventory management for market expansion," Transportation Research Part B: Methodological, Elsevier, vol. 162(C), pages 28-54.
  45. Jianzhe Zhen & Ahmadreza Marandi & Danique de Moor & Dick den Hertog & Lieven Vandenberghe, 2022. "Disjoint Bilinear Optimization: A Two-Stage Robust Optimization Perspective," INFORMS Journal on Computing, INFORMS, vol. 34(5), pages 2410-2427, September.
  46. 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.
  47. Krzysztof Postek & Dick den Hertog, 2016. "Multistage Adjustable Robust Mixed-Integer Optimization via Iterative Splitting of the Uncertainty Set," INFORMS Journal on Computing, INFORMS, vol. 28(3), pages 553-574, August.
  48. Rahal, Said & Papageorgiou, Dimitri J. & Li, Zukui, 2021. "Hybrid strategies using linear and piecewise-linear decision rules for multistage adaptive linear optimization," European Journal of Operational Research, Elsevier, vol. 290(3), pages 1014-1030.
  49. 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.
  50. Thai Doan Chuong & Xinghuo Yu & Chen Liu & Andrew Eberhard & Chaojie Li, 2024. "Solving Two-stage Quadratic Multiobjective Problems via Optimality and Relaxations," Journal of Optimization Theory and Applications, Springer, vol. 203(1), pages 676-713, October.
  51. Jiawei Chen & Jun Li & Xiaobing Li & Yibing Lv & Jen-Chih Yao, 2020. "Radius of Robust Feasibility of System of Convex Inequalities with Uncertain Data," Journal of Optimization Theory and Applications, Springer, vol. 184(2), pages 384-399, February.
  52. Joel Goh & Melvyn Sim, 2010. "Distributionally Robust Optimization and Its Tractable Approximations," Operations Research, INFORMS, vol. 58(4-part-1), pages 902-917, August.
  53. Grani A. Hanasusanto & Daniel Kuhn & Wolfram Wiesemann, 2015. "K -Adaptability in Two-Stage Robust Binary Programming," Operations Research, INFORMS, vol. 63(4), pages 877-891, August.
  54. Postek, K.S. & den Hertog, D., 2014. "Multi-stage Adjustable Robust Mixed-Integer Optimization via Iterative Splitting of the Uncertainty set," Discussion Paper 2014-056, Tilburg University, Center for Economic Research.
  55. Joel Goh & Melvyn Sim, 2011. "Robust Optimization Made Easy with ROME," Operations Research, INFORMS, vol. 59(4), pages 973-985, August.
  56. Angelos Georghiou & Daniel Kuhn & Wolfram Wiesemann, 2019. "The decision rule approach to optimization under uncertainty: methodology and applications," Computational Management Science, Springer, vol. 16(4), pages 545-576, October.
  57. 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.
  58. Amir Ardestani-Jaafari & Erick Delage, 2018. "The Value of Flexibility in Robust Location–Transportation Problems," Transportation Science, INFORMS, vol. 52(1), pages 189-209, January.
  59. 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.
  60. Angelos Georghiou & Wolfram Wiesemann & Daniel Kuhn, 2010. "Generalized Decision Rule Approximations for Stochastic Programming via Liftings," Working Papers 043, COMISEF.
  61. Guanglin Xu & Samuel Burer, 2018. "A copositive approach for two-stage adjustable robust optimization with uncertain right-hand sides," Computational Optimization and Applications, Springer, vol. 70(1), pages 33-59, May.
  62. Pamela Alvarez & Jorge Vera, 2014. "Application of Robust Optimization to the Sawmill Planning Problem," Annals of Operations Research, Springer, vol. 219(1), pages 457-475, August.
  63. Han, Biao & Shang, Chao & Huang, Dexian, 2021. "Multiple kernel learning-aided robust optimization: Learning algorithm, computational tractability, and usage in multi-stage decision-making," European Journal of Operational Research, Elsevier, vol. 292(3), pages 1004-1018.
  64. 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.
  65. Guanglin Xu & Grani A. Hanasusanto, 2025. "Improved Decision Rule Approximations for Multistage Robust Optimization via Copositive Programming," Operations Research, INFORMS, vol. 73(2), pages 842-861, March.
  66. Dimitris Bertsimas & Jean Pauphilet, 2024. "Hospital-Wide Inpatient Flow Optimization," Management Science, INFORMS, vol. 70(7), pages 4893-4911, July.
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