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Sample Average Approximation Method for Chance Constrained Programming: Theory and Applications

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  1. Aigner, Kevin-Martin & Clarner, Jan-Patrick & Liers, Frauke & Martin, Alexander, 2022. "Robust approximation of chance constrained DC optimal power flow under decision-dependent uncertainty," European Journal of Operational Research, Elsevier, vol. 301(1), pages 318-333.
  2. Holger Berthold & Holger Heitsch & René Henrion & Jan Schwientek, 2022. "On the algorithmic solution of optimization problems subject to probabilistic/robust (probust) constraints," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 96(1), pages 1-37, August.
  3. Rezapour, Shabnam & Srinivasan, Ramakrishnan & Tew, Jeffrey & Allen, Janet K. & Mistree, Farrokh, 2018. "Correlation between strategic and operational risk mitigation strategies in supply networks," International Journal of Production Economics, Elsevier, vol. 201(C), pages 225-248.
  4. Weijun Xie & Shabbir Ahmed, 2020. "Bicriteria Approximation of Chance-Constrained Covering Problems," Operations Research, INFORMS, vol. 68(2), pages 516-533, March.
  5. L. Jeff Hong & Zhaolin Hu & Liwei Zhang, 2014. "Conditional Value-at-Risk Approximation to Value-at-Risk Constrained Programs: A Remedy via Monte Carlo," INFORMS Journal on Computing, INFORMS, vol. 26(2), pages 385-400, May.
  6. Feng Shan & Liwei Zhang & Xiantao Xiao, 2014. "A Smoothing Function Approach to Joint Chance-Constrained Programs," Journal of Optimization Theory and Applications, Springer, vol. 163(1), pages 181-199, October.
  7. Martin Branda & Jitka Dupačová, 2012. "Approximation and contamination bounds for probabilistic programs," Annals of Operations Research, Springer, vol. 193(1), pages 3-19, March.
  8. Hu, Shaolong & Dong, Zhijie Sasha & Dai, Rui, 2024. "A machine learning based sample average approximation for supplier selection with option contract in humanitarian relief," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 186(C).
  9. Chardy, Matthieu & Klopfenstein, Olivier, 2012. "Handling uncertainties in vehicle routing problems through data preprocessing," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(3), pages 667-683.
  10. Deza, Antoine & Huang, Kai & Metel, Michael R., 2015. "Chance constrained optimization for targeted Internet advertising," Omega, Elsevier, vol. 53(C), pages 90-96.
  11. Sharan Srinivas & A. Ravi Ravindran, 2020. "Designing schedule configuration of a hybrid appointment system for a two-stage outpatient clinic with multiple servers," Health Care Management Science, Springer, vol. 23(3), pages 360-386, September.
  12. Jitka Dupačová & Miloš Kopa, 2012. "Robustness in stochastic programs with risk constraints," Annals of Operations Research, Springer, vol. 200(1), pages 55-74, November.
  13. Oleg V. Shylo & Oleg A. Prokopyev & Andrew J. Schaefer, 2013. "Stochastic Operating Room Scheduling for High-Volume Specialties Under Block Booking," INFORMS Journal on Computing, INFORMS, vol. 25(4), pages 682-692, November.
  14. Diglio, Antonio & Peiró, Juanjo & Piccolo, Carmela & Saldanha-da-Gama, Francisco, 2023. "Approximation schemes for districting problems with probabilistic constraints," European Journal of Operational Research, Elsevier, vol. 307(1), pages 233-248.
  15. I. Bremer & R. Henrion & A. Möller, 2015. "Probabilistic constraints via SQP solver: application to a renewable energy management problem," Computational Management Science, Springer, vol. 12(3), pages 435-459, July.
  16. Mónica López-Campos & Pablo Escalona & Alejandro Angulo & Francisca Recabarren & Raúl Stegmaier, 2024. "On the Number of Customer Classes in a Single-Period Inventory System," Mathematics, MDPI, vol. 12(10), pages 1-22, May.
  17. Alberto Santis & Tommaso Giovannelli & Stefano Lucidi & Mauro Messedaglia & Massimo Roma, 2023. "A simulation-based optimization approach for the calibration of a discrete event simulation model of an emergency department," Annals of Operations Research, Springer, vol. 320(2), pages 727-756, January.
  18. Reich, Daniel, 2013. "A linear programming approach for linear programs with probabilistic constraints," European Journal of Operational Research, Elsevier, vol. 230(3), pages 487-494.
  19. Tanner, Matthew W. & Ntaimo, Lewis, 2010. "IIS branch-and-cut for joint chance-constrained stochastic programs and application to optimal vaccine allocation," European Journal of Operational Research, Elsevier, vol. 207(1), pages 290-296, November.
  20. Yihsu Chen & Andrew L. Liu & Makoto Tanaka & Ryuta Takashima, 2022. "Optimal Retail Tariff Design with Prosumers: Pursuing Equity at the Expenses of Economic Efficiencies?," Papers 2209.14505, arXiv.org.
  21. Ebenezer Fiifi Emire Atta Mills & Bo Yu & Kailin Zeng, 2019. "Satisfying Bank Capital Requirements: A Robustness Approach in a Modified Roy Safety-First Framework," Mathematics, MDPI, vol. 7(7), pages 1-20, July.
  22. Xide Zhu & Peijun Guo, 2020. "Bilevel programming approaches to production planning for multiple products with short life cycles," 4OR, Springer, vol. 18(2), pages 151-175, June.
  23. Shen Peng & Jie Jiang, 2021. "Stochastic mathematical programs with probabilistic complementarity constraints: SAA and distributionally robust approaches," Computational Optimization and Applications, Springer, vol. 80(1), pages 153-184, September.
  24. Erfan Mohagheghi & Mansour Alramlawi & Aouss Gabash & Pu Li, 2018. "A Survey of Real-Time Optimal Power Flow," Energies, MDPI, vol. 11(11), pages 1-20, November.
  25. Patrizia Beraldi & Maria Bruni & Antonio Violi, 2012. "Capital rationing problems under uncertainty and risk," Computational Optimization and Applications, Springer, vol. 51(3), pages 1375-1396, April.
  26. Zhuqi Miao & Balabhaskar Balasundaram & Eduardo L. Pasiliao, 2014. "An exact algorithm for the maximum probabilistic clique problem," Journal of Combinatorial Optimization, Springer, vol. 28(1), pages 105-120, July.
  27. Lamas, Patricio & Goycoolea, Marcos & Pagnoncelli, Bernardo & Newman, Alexandra, 2024. "A target-time-windows technique for project scheduling under uncertainty," European Journal of Operational Research, Elsevier, vol. 314(2), pages 792-806.
  28. Alexandre Street, 2010. "On the Conditional Value-at-Risk probability-dependent utility function," Theory and Decision, Springer, vol. 68(1), pages 49-68, February.
  29. Yuchen Jiang & Juan Xu & Siqian Shen & Cong Shi, 2017. "Production planning problems with joint service-level guarantee: a computational study," International Journal of Production Research, Taylor & Francis Journals, vol. 55(1), pages 38-58, January.
  30. Saldanha-da-Gama, Francisco, 2022. "Facility Location in Logistics and Transportation: An enduring relationship," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 166(C).
  31. Carrillo-Galvez, Adrian & Flores-Bazán, Fabián & Parra, Enrique López, 2022. "Effect of models uncertainties on the emission constrained economic dispatch. A prediction interval-based approach," Applied Energy, Elsevier, vol. 317(C).
  32. Raffaello Seri & Christine Choirat, 2013. "Scenario Approximation of Robust and Chance-Constrained Programs," Journal of Optimization Theory and Applications, Springer, vol. 158(2), pages 590-614, August.
  33. Algo Carè & Simone Garatti & Marco C. Campi, 2019. "The wait-and-judge scenario approach applied to antenna array design," Computational Management Science, Springer, vol. 16(3), pages 481-499, July.
  34. Khalid Alqunun & Tawfik Guesmi & Abdullah F. Albaker & Mansoor T. Alturki, 2020. "Stochastic Unit Commitment Problem, Incorporating Wind Power and an Energy Storage System," Sustainability, MDPI, vol. 12(23), pages 1-17, December.
  35. Wissam AlAli & c{C}au{g}{i}n Ararat, 2024. "Systemic values-at-risk and their sample-average approximations," Papers 2408.08511, arXiv.org.
  36. Emelogu, Adindu & Chowdhury, Sudipta & Marufuzzaman, Mohammad & Bian, Linkan & Eksioglu, Burak, 2016. "An enhanced sample average approximation method for stochastic optimization," International Journal of Production Economics, Elsevier, vol. 182(C), pages 230-252.
  37. G. Pantuso & L. M. Hvattum, 2021. "Maximizing performance with an eye on the finances: a chance-constrained model for football transfer market decisions," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 29(2), pages 583-611, July.
  38. Hadi Charkhgard & Mahdi Takalloo & Zulqarnain Haider, 2020. "Bi-objective autonomous vehicle repositioning problem with travel time uncertainty," 4OR, Springer, vol. 18(4), pages 477-505, December.
  39. Nhung Nguyen Hong & Yosuke Nakanishi, 2019. "Optimal Scheduling of an Isolated Wind-Diesel-Energy Storage System Considering Fast Frequency Response and Forecast Error," Energies, MDPI, vol. 12(5), pages 1-20, March.
  40. Ran Ji & Miguel A. Lejeune, 2018. "Risk-budgeting multi-portfolio optimization with portfolio and marginal risk constraints," Annals of Operations Research, Springer, vol. 262(2), pages 547-578, March.
  41. Bowen Li & Ruiwei Jiang & Johanna L. Mathieu, 2022. "Integrating unimodality into distributionally robust optimal power flow," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 30(3), pages 594-617, October.
  42. Wang, Tingsong & Meng, Qiang & Wang, Shuaian & Tan, Zhijia, 2013. "Risk management in liner ship fleet deployment: A joint chance constrained programming model," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 60(C), pages 1-12.
  43. Reus, Lorenzo & Pagnoncelli, Bernardo & Armstrong, Margaret, 2019. "Better management of production incidents in mining using multistage stochastic optimization," Resources Policy, Elsevier, vol. 63(C), pages 1-1.
  44. Shanshan Wang & Jinlin Li & Sanjay Mehrotra, 2021. "Chance-Constrained Multiple Bin Packing Problem with an Application to Operating Room Planning," INFORMS Journal on Computing, INFORMS, vol. 33(4), pages 1661-1677, October.
  45. van der Laan, Niels & Teunter, Ruud H. & Romeijnders, Ward & Kilic, Onur A., 2022. "The data-driven newsvendor problem: Achieving on-target service-levels using distributionally robust chance-constrained optimization," International Journal of Production Economics, Elsevier, vol. 249(C).
  46. Wang, Tingsong & Tian, Xuecheng & Wang, Yadong, 2020. "Container slot allocation and dynamic pricing of time-sensitive cargoes considering port congestion and uncertain demand," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 144(C).
  47. Fontem, Belleh & Smith, Jeremiah, 2019. "Analysis of a chance-constrained new product risk model with multiple customer classes," European Journal of Operational Research, Elsevier, vol. 272(3), pages 999-1016.
  48. Yi Zhao & Ronghui Liu & Xi Zhang & Anthony Whiteing, 2018. "A chance-constrained stochastic approach to intermodal container routing problems," PLOS ONE, Public Library of Science, vol. 13(2), pages 1-22, February.
  49. Demir, Emrah & Burgholzer, Wolfgang & Hrušovský, Martin & Arıkan, Emel & Jammernegg, Werner & Woensel, Tom Van, 2016. "A green intermodal service network design problem with travel time uncertainty," Transportation Research Part B: Methodological, Elsevier, vol. 93(PB), pages 789-807.
  50. Sergey V. Ivanov & Andrey I. Kibzun & Nenad Mladenović & Dragan Urošević, 2019. "Variable neighborhood search for stochastic linear programming problem with quantile criterion," Journal of Global Optimization, Springer, vol. 74(3), pages 549-564, July.
  51. Yan Deng & Huiwen Jia & Shabbir Ahmed & Jon Lee & Siqian Shen, 2021. "Scenario Grouping and Decomposition Algorithms for Chance-Constrained Programs," INFORMS Journal on Computing, INFORMS, vol. 33(2), pages 757-773, May.
  52. Fallahi, F. & Bakir, I. & Yildirim, M. & Ye, Z., 2022. "A chance-constrained optimization framework for wind farms to manage fleet-level availability in condition based maintenance and operations," Renewable and Sustainable Energy Reviews, Elsevier, vol. 168(C).
  53. Jianqiang Cheng & Richard Li-Yang Chen & Habib N. Najm & Ali Pinar & Cosmin Safta & Jean-Paul Watson, 2018. "Chance-constrained economic dispatch with renewable energy and storage," Computational Optimization and Applications, Springer, vol. 70(2), pages 479-502, June.
  54. Algo Carè & Simone Garatti & Marco C. Campi, 2014. "FAST---Fast Algorithm for the Scenario Technique," Operations Research, INFORMS, vol. 62(3), pages 662-671, June.
  55. Zhang, Lele & Ding, Pengyuan & Thompson, Russell G., 2023. "A stochastic formulation of the two-echelon vehicle routing and loading bay reservation problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 177(C).
  56. Yan Gu & Jianlin Jiang & Shun Zhang, 2023. "Distributionally robust Weber problem with uncertain demand," Computational Optimization and Applications, Springer, vol. 85(3), pages 705-752, July.
  57. Qiushi Chen & Lei Zhao & Jan C. Fransoo & Zhe Li, 2019. "Dual-mode inventory management under a chance credit constraint," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 41(1), pages 147-178, March.
  58. Peng, Shen & Maggioni, Francesca & Lisser, Abdel, 2022. "Bounds for probabilistic programming with application to a blend planning problem," European Journal of Operational Research, Elsevier, vol. 297(3), pages 964-976.
  59. Ming Liu & Yueyu Ding & Lihua Sun & Runchun Zhang & Yue Dong & Zihan Zhao & Yiting Wang & Chaoran Liu, 2023. "Green Airline-Fleet Assignment with Uncertain Passenger Demand and Fuel Price," Sustainability, MDPI, vol. 15(2), pages 1-22, January.
  60. Gianpiero Canessa & Julian A. Gallego & Lewis Ntaimo & Bernardo K. Pagnoncelli, 2019. "An algorithm for binary linear chance-constrained problems using IIS," Computational Optimization and Applications, Springer, vol. 72(3), pages 589-608, April.
  61. Yuan Yuan & Zukui Li & Biao Huang, 2017. "Robust optimization approximation for joint chance constrained optimization problem," Journal of Global Optimization, Springer, vol. 67(4), pages 805-827, April.
  62. Mohammad Seydali Seyf Abad & Jin Ma & Ahmad Shabir Ahmadyar & Hesamoddin Marzooghi, 2018. "Distributionally Robust Distributed Generation Hosting Capacity Assessment in Distribution Systems," Energies, MDPI, vol. 11(11), pages 1-19, November.
  63. Amarjit Budhiraja & Shu Lu & Yang Yu & Quoc Tran-Dinh, 2021. "Minimization of a class of rare event probabilities and buffered probabilities of exceedance," Annals of Operations Research, Springer, vol. 302(1), pages 49-83, July.
  64. Ming Liu & Xin Liu & Maoran Zhu & Feifeng Zheng, 2019. "Stochastic Drone Fleet Deployment and Planning Problem Considering Multiple-Type Delivery Service," Sustainability, MDPI, vol. 11(14), pages 1-18, July.
  65. Yi Zhao & Qingwan Xue & Xi Zhang, 2018. "Stochastic Empty Container Repositioning Problem with CO 2 Emission Considerations for an Intermodal Transportation System," Sustainability, MDPI, vol. 10(11), pages 1-24, November.
  66. Hadi Karimi & Sandra D. Ekşioğlu & Michael Carbajales-Dale, 2021. "A biobjective chance constrained optimization model to evaluate the economic and environmental impacts of biopower supply chains," Annals of Operations Research, Springer, vol. 296(1), pages 95-130, January.
  67. Zheng Zhang & Brian T. Denton & Xiaolan Xie, 2020. "Branch and Price for Chance-Constrained Bin Packing," INFORMS Journal on Computing, INFORMS, vol. 32(3), pages 547-564, July.
  68. Yongjia Song & James R. Luedtke & Simge Küçükyavuz, 2014. "Chance-Constrained Binary Packing Problems," INFORMS Journal on Computing, INFORMS, vol. 26(4), pages 735-747, November.
  69. Jiang, Jie & Peng, Shen, 2024. "Mathematical programs with distributionally robust chance constraints: Statistical robustness, discretization and reformulation," European Journal of Operational Research, Elsevier, vol. 313(2), pages 616-627.
  70. Garrido, Rodrigo A. & Lamas, Patricio & Pino, Francisco J., 2015. "A stochastic programming approach for floods emergency logistics," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 75(C), pages 18-31.
  71. Chen, Zhen & Archibald, Thomas W., 2024. "Maximizing the survival probability in a cash flow inventory problem with a joint service level constraint," International Journal of Production Economics, Elsevier, vol. 270(C).
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