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Accelerating Benders Decomposition: Algorithmic Enhancement and Model Selection Criteria

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  1. Rodriguez-Martin, Inmaculada & Salazar-Gonzalez, Juan Jose, 2008. "Solving a capacitated hub location problem," European Journal of Operational Research, Elsevier, vol. 184(2), pages 468-479, January.
  2. Klose, Andreas & Gortz, Simon, 2007. "A branch-and-price algorithm for the capacitated facility location problem," European Journal of Operational Research, Elsevier, vol. 179(3), pages 1109-1125, June.
  3. Morton O’Kelly & Henrique Luna & Ricardo Camargo & Gilberto Miranda, 2015. "Hub Location Problems with Price Sensitive Demands," Networks and Spatial Economics, Springer, vol. 15(4), pages 917-945, December.
  4. Camilo Ortiz-Astorquiza & Ivan Contreras & Gilbert Laporte, 2019. "An Exact Algorithm for Multilevel Uncapacitated Facility Location," Transportation Science, INFORMS, vol. 53(4), pages 1085-1106, July.
  5. Gutierrez, Genaro J. & Kouvelis, Panagiotis & Kurawarwala, Abbas A., 1996. "A robustness approach to uncapacitated network design problems," European Journal of Operational Research, Elsevier, vol. 94(2), pages 362-376, October.
  6. Hu, Peng & Chu, Feng & Dolgui, Alexandre & Chu, Chengbin & Liu, Ming, 2024. "Integrated multi-product reverse supply chain design and disassembly line balancing under uncertainty," Omega, Elsevier, vol. 126(C).
  7. Álvarez-Miranda, Eduardo & Fernández, Elena & Ljubić, Ivana, 2015. "The recoverable robust facility location problem," Transportation Research Part B: Methodological, Elsevier, vol. 79(C), pages 93-120.
  8. Azad, Nader & Hassini, Elkafi, 2019. "Recovery strategies from major supply disruptions in single and multiple sourcing networks," European Journal of Operational Research, Elsevier, vol. 275(2), pages 481-501.
  9. Nader Ghaffarinasab & Bahar Y. Kara, 2019. "Benders Decomposition Algorithms for Two Variants of the Single Allocation Hub Location Problem," Networks and Spatial Economics, Springer, vol. 19(1), pages 83-108, March.
  10. Lee, Chungmok & Han, Jinil, 2017. "Benders-and-Price approach for electric vehicle charging station location problem under probabilistic travel range," Transportation Research Part B: Methodological, Elsevier, vol. 106(C), pages 130-152.
  11. Ramamoorthy, Prasanna & Vidyarthi, Navneet & Verma, Manish, 2024. "Efficient solution approaches for the bi-criteria p-hub median and dispersion problem," European Journal of Operational Research, Elsevier, vol. 314(1), pages 79-93.
  12. Blanchot, Xavier & Clautiaux, François & Detienne, Boris & Froger, Aurélien & Ruiz, Manuel, 2023. "The Benders by batch algorithm: Design and stabilization of an enhanced algorithm to solve multicut Benders reformulation of two-stage stochastic programs," European Journal of Operational Research, Elsevier, vol. 309(1), pages 202-216.
  13. Keyvanshokooh, Esmaeil & Ryan, Sarah M. & Kabir, Elnaz, 2016. "Hybrid robust and stochastic optimization for closed-loop supply chain network design using accelerated Benders decomposition," European Journal of Operational Research, Elsevier, vol. 249(1), pages 76-92.
  14. Yadong Wang & Qiang Meng & Haibo Kuang, 2019. "Intercontinental Liner Shipping Service Design," Transportation Science, INFORMS, vol. 53(2), pages 344-364, March.
  15. Rivi Sandhu & Diego Klabjan, 2007. "Integrated Airline Fleeting and Crew-Pairing Decisions," Operations Research, INFORMS, vol. 55(3), pages 439-456, June.
  16. M. Jenabi & S. M. T. Fatemi Ghomi & S. A. Torabi & Moeen Sammak Jalali, 2022. "An accelerated Benders decomposition algorithm for stochastic power system expansion planning using sample average approximation," OPSEARCH, Springer;Operational Research Society of India, vol. 59(4), pages 1304-1336, December.
  17. Marufuzzaman, Mohammad & Eksioglu, Sandra D. & Li, Xiaopeng & Wang, Jin, 2014. "Analyzing the impact of intermodal-related risk to the design and management of biofuel supply chain," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 69(C), pages 122-145.
  18. Fragkos, Ioannis & Cordeau, Jean-François & Jans, Raf, 2021. "Decomposition methods for large-scale network expansion problems," Transportation Research Part B: Methodological, Elsevier, vol. 144(C), pages 60-80.
  19. Göke, Leonard & Schmidt, Felix & Kendziorski, Mario, 2024. "Stabilized Benders decomposition for energy planning under climate uncertainty," European Journal of Operational Research, Elsevier, vol. 316(1), pages 183-199.
  20. Bernardes Real, Luiza & O'Kelly, Morton & de Miranda, Gilberto & Saraiva de Camargo, Ricardo, 2018. "The gateway hub location problem," Journal of Air Transport Management, Elsevier, vol. 73(C), pages 95-112.
  21. Nils Korber & Maximilian Rohrig & Andreas Ulbig, 2022. "A stakeholder-oriented multi-criteria optimization model for decentral multi-energy systems," Papers 2204.06545, arXiv.org.
  22. Üster, Halit & Wang, Xinghua & Yates, Justin T., 2018. "Strategic Evacuation Network Design (SEND) under cost and time considerations," Transportation Research Part B: Methodological, Elsevier, vol. 107(C), pages 124-145.
  23. Daniel Baena & Jordi Castro & Antonio Frangioni, 2020. "Stabilized Benders Methods for Large-Scale Combinatorial Optimization, with Application to Data Privacy," Management Science, INFORMS, vol. 66(7), pages 3051-3068, July.
  24. Placido dos Santos, Felipe Silva & Oliveira, Fabricio, 2019. "An enhanced L-Shaped method for optimizing periodic-review inventory control problems modeled via two-stage stochastic programming," European Journal of Operational Research, Elsevier, vol. 275(2), pages 677-693.
  25. Chao Li & Muhong Zhang & Kory Hedman, 2021. "Extreme Ray Feasibility Cuts for Unit Commitment with Uncertainty," INFORMS Journal on Computing, INFORMS, vol. 33(3), pages 1037-1055, July.
  26. Gopalakrishnan Easwaran & Halit Üster, 2009. "Tabu Search and Benders Decomposition Approaches for a Capacitated Closed-Loop Supply Chain Network Design Problem," Transportation Science, INFORMS, vol. 43(3), pages 301-320, August.
  27. Ghaffarinasab, Nader & Çavuş, Özlem & Kara, Bahar Y., 2023. "A mean-CVaR approach to the risk-averse single allocation hub location problem with flow-dependent economies of scale," Transportation Research Part B: Methodological, Elsevier, vol. 167(C), pages 32-53.
  28. Peiling Wu & Joseph C. Hartman & George R. Wilson, 2005. "An Integrated Model and Solution Approach for Fleet Sizing with Heterogeneous Assets," Transportation Science, INFORMS, vol. 39(1), pages 87-103, February.
  29. Halil Şen & Kerem Bülbül, 2015. "A Strong Preemptive Relaxation for Weighted Tardiness and Earliness/Tardiness Problems on Unrelated Parallel Machines," INFORMS Journal on Computing, INFORMS, vol. 27(1), pages 135-150, February.
  30. Sushil R. Poudel & Md Abdul Quddus & Mohammad Marufuzzaman & Linkan Bian & Reuben F. Burch V, 2019. "Managing congestion in a multi-modal transportation network under biomass supply uncertainty," Annals of Operations Research, Springer, vol. 273(1), pages 739-781, February.
  31. Jean-François Cordeau & Federico Pasin & Marius Solomon, 2006. "An integrated model for logistics network design," Annals of Operations Research, Springer, vol. 144(1), pages 59-82, April.
  32. Lin, Yun Hui & Tian, Qingyun, 2021. "Branch-and-cut approach based on generalized benders decomposition for facility location with limited choice rule," European Journal of Operational Research, Elsevier, vol. 293(1), pages 109-119.
  33. Kabli, Mohannad & Quddus, Md Abdul & Nurre, Sarah G. & Marufuzzaman, Mohammad & Usher, John M., 2020. "A stochastic programming approach for electric vehicle charging station expansion plans," International Journal of Production Economics, Elsevier, vol. 220(C).
  34. Stephen J. Maher, 2021. "Enhancing large neighbourhood search heuristics for Benders’ decomposition," Journal of Heuristics, Springer, vol. 27(4), pages 615-648, August.
  35. Sophie N. Parragh & Fabien Tricoire & Walter J. Gutjahr, 2022. "A branch-and-Benders-cut algorithm for a bi-objective stochastic facility location problem," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 44(2), pages 419-459, June.
  36. Lixin Tang & Wei Jiang & Georgios Saharidis, 2013. "An improved Benders decomposition algorithm for the logistics facility location problem with capacity expansions," Annals of Operations Research, Springer, vol. 210(1), pages 165-190, November.
  37. Nieto-Isaza, Santiago & Fontaine, Pirmin & Minner, Stefan, 2022. "The value of stochastic crowd resources and strategic location of mini-depots for last-mile delivery: A Benders decomposition approach," Transportation Research Part B: Methodological, Elsevier, vol. 157(C), pages 62-79.
  38. Kiya, Farhad & Davoudpour, Hamid, 2012. "Stochastic programming approach to re-designing a warehouse network under uncertainty," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(5), pages 919-936.
  39. Faria, Victor. A.D. & de Queiroz, Anderson Rodrigo & Lima, Luana M.M. & Lima, José W.M., 2018. "Cooperative game theory and last addition method in the allocation of firm energy rights," Applied Energy, Elsevier, vol. 226(C), pages 905-915.
  40. Aghalari, Amin & Nur, Farjana & Marufuzzaman, Mohammad, 2020. "A Bender’s based nested decomposition algorithm to solve a stochastic inland waterway port management problem considering perishable product," International Journal of Production Economics, Elsevier, vol. 229(C).
  41. Wei Zhang & Kai Wang & Alexandre Jacquillat & Shuaian Wang, 2023. "Optimized Scenario Reduction: Solving Large-Scale Stochastic Programs with Quality Guarantees," INFORMS Journal on Computing, INFORMS, vol. 35(4), pages 886-908, July.
  42. Aakil M. Caunhye & Xiaofeng Nie, 2018. "A Stochastic Programming Model for Casualty Response Planning During Catastrophic Health Events," Transportation Science, INFORMS, vol. 52(2), pages 437-453, March.
  43. Marufuzzaman, Mohammad & Ekşioğlu, Sandra Duni, 2017. "Managing congestion in supply chains via dynamic freight routing: An application in the biomass supply chain," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 99(C), pages 54-76.
  44. Fontaine, Pirmin & Minner, Stefan, 2014. "Benders Decomposition for Discrete–Continuous Linear Bilevel Problems with application to traffic network design," Transportation Research Part B: Methodological, Elsevier, vol. 70(C), pages 163-172.
  45. Ogbe, Emmanuel & Li, Xiang, 2017. "A new cross decomposition method for stochastic mixed-integer linear programming," European Journal of Operational Research, Elsevier, vol. 256(2), pages 487-499.
  46. Çalık, Hatice & Fortz, Bernard, 2019. "A Benders decomposition method for locating stations in a one-way electric car sharing system under demand uncertainty," Transportation Research Part B: Methodological, Elsevier, vol. 125(C), pages 121-150.
  47. Teodor Gabriel Crainic & Mike Hewitt & Francesca Maggioni & Walter Rei, 2021. "Partial Benders Decomposition: General Methodology and Application to Stochastic Network Design," Transportation Science, INFORMS, vol. 55(2), pages 414-435, March.
  48. Mohammad Marufuzzaman & Farjana Nur & Amy E. Bednar & Mark Cowan, 2020. "Enhancing Benders decomposition algorithm to solve a combat logistics problem," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 42(1), pages 161-198, March.
  49. Aliakbari Sani, Sajad & Bahn, Olivier & Delage, Erick, 2022. "Affine decision rule approximation to address demand response uncertainty in smart Grids’ capacity planning," European Journal of Operational Research, Elsevier, vol. 303(1), pages 438-455.
  50. Joe Naoum‐Sawaya & Samir Elhedhli, 2010. "A nested benders decomposition approach for telecommunication network planning," Naval Research Logistics (NRL), John Wiley & Sons, vol. 57(6), pages 519-539, September.
  51. Xie, Fei & Huang, Yongxi, 2018. "A multistage stochastic programming model for a multi-period strategic expansion of biofuel supply chain under evolving uncertainties," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 111(C), pages 130-148.
  52. Halit Üster & Gopalakrishnan Easwaran & Elif Akçali & Sila Çetinkaya, 2007. "Benders decomposition with alternative multiple cuts for a multi‐product closed‐loop supply chain network design model," Naval Research Logistics (NRL), John Wiley & Sons, vol. 54(8), pages 890-907, December.
  53. Jabarzare, Ziba & Zolfagharinia, Hossein & Najafi, Mehdi, 2020. "Dynamic interdiction networks with applications in illicit supply chains," Omega, Elsevier, vol. 96(C).
  54. Elisangela Martins de Sá & Ivan Contreras & Jean-François Cordeau & Ricardo Saraiva de Camargo & Gilberto de Miranda, 2015. "The Hub Line Location Problem," Transportation Science, INFORMS, vol. 49(3), pages 500-518, August.
  55. René Brandenberg & Paul Stursberg, 2021. "Refined cut selection for benders decomposition: applied to network capacity expansion problems," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 94(3), pages 383-412, December.
  56. Zhixing Luo & Mengyang Liu & Andrew Lim, 2019. "A Two-Phase Branch-and-Price-and-Cut for a Dial-a-Ride Problem in Patient Transportation," Service Science, INFORMS, vol. 53(1), pages 113-130, February.
  57. Sangwon Moon, 1989. "Application of generalized benders decomposition to a nonlinear distribution system design problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 36(3), pages 283-295, June.
  58. Lusby, Richard Martin & Range, Troels Martin & Larsen, Jesper, 2015. "A Benders decomposition-based Matheuristic for the Cardinality Constrained Shift Design Problem," Discussion Papers on Economics 9/2015, University of Southern Denmark, Department of Economics.
  59. Fausto Errico & Teodor Gabriel Crainic & Federico Malucelli & Maddalena Nonato, 2017. "A Benders Decomposition Approach for the Symmetric TSP with Generalized Latency Arising in the Design of Semiflexible Transit Systems," Transportation Science, INFORMS, vol. 51(2), pages 706-722, May.
  60. Mohammad Marufuzzaman & Sandra Duni Ekşioğlu, 2017. "Designing a Reliable and Dynamic Multimodal Transportation Network for Biofuel Supply Chains," Transportation Science, INFORMS, vol. 51(2), pages 494-517, May.
  61. Gendreau, Michel & Nossack, Jenny & Pesch, Erwin, 2015. "Mathematical formulations for a 1-full-truckload pickup-and-delivery problem," European Journal of Operational Research, Elsevier, vol. 242(3), pages 1008-1016.
  62. Smith, J. Cole & Song, Yongjia, 2020. "A survey of network interdiction models and algorithms," European Journal of Operational Research, Elsevier, vol. 283(3), pages 797-811.
  63. Joe Naoum-Sawaya & Christoph Buchheim, 2016. "Robust Critical Node Selection by Benders Decomposition," INFORMS Journal on Computing, INFORMS, vol. 28(1), pages 162-174, February.
  64. Yang, Lingxiao & Zheng, Jianfeng & Wang, Jian & Hu, Xiaowei, 2023. "The maximal detour liner shipping hub location problem: Improving the applicability of the p-hub center problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 179(C).
  65. Vatsa, Amit Kumar & Jayaswal, Sachin, 2015. "A New Formulation and Benders' Decomposition for Multi-period facility Location Problem with Server Uncertainty," IIMA Working Papers WP2015-02-07, Indian Institute of Management Ahmedabad, Research and Publication Department.
  66. Bhuiyan, Tanveer Hossain & Medal, Hugh R. & Harun, Sarah, 2020. "A stochastic programming model with endogenous and exogenous uncertainty for reliable network design under random disruption," European Journal of Operational Research, Elsevier, vol. 285(2), pages 670-694.
  67. Weiguo Zhang & Xiaolei He, 2022. "A New Scenario Reduction Method Based on Higher-Order Moments," INFORMS Journal on Computing, INFORMS, vol. 34(4), pages 1903-1918, July.
  68. Shengzhi Shao & Hanif D. Sherali & Mohamed Haouari, 2017. "A Novel Model and Decomposition Approach for the Integrated Airline Fleet Assignment, Aircraft Routing, and Crew Pairing Problem," Transportation Science, INFORMS, vol. 51(1), pages 233-249, February.
  69. Brech, Claus-Henning & Ernst, Andreas & Kolisch, Rainer, 2019. "Scheduling medical residents’ training at university hospitals," European Journal of Operational Research, Elsevier, vol. 274(1), pages 253-266.
  70. Nader Azad & Elkafi Hassini, 2019. "A Benders Decomposition Method for Designing Reliable Supply Chain Networks Accounting for Multimitigation Strategies and Demand Losses," Transportation Science, INFORMS, vol. 53(5), pages 1287-1312, September.
  71. Kiho Seo & Seulgi Joung & Chungmok Lee & Sungsoo Park, 2022. "A Closest Benders Cut Selection Scheme for Accelerating the Benders Decomposition Algorithm," INFORMS Journal on Computing, INFORMS, vol. 34(5), pages 2804-2827, September.
  72. Li, Yiming & Sun, Zhuo & Hong, Soondo, 2024. "An exact algorithm for multiple-equipment integrated scheduling in an automated container terminal using a double-cycling strategy," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 186(C).
  73. Drexl, Michael & Schneider, Michael, 2015. "A survey of variants and extensions of the location-routing problem," European Journal of Operational Research, Elsevier, vol. 241(2), pages 283-308.
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  75. Nader Azad & Georgios Saharidis & Hamid Davoudpour & Hooman Malekly & Seyed Yektamaram, 2013. "Strategies for protecting supply chain networks against facility and transportation disruptions: an improved Benders decomposition approach," Annals of Operations Research, Springer, vol. 210(1), pages 125-163, November.
  76. Sridhar, Varadharajan & Park, June S., 2000. "Benders-and-cut algorithm for fixed-charge capacitated network design problem," European Journal of Operational Research, Elsevier, vol. 125(3), pages 622-632, September.
  77. Ivan Contreras & Jean-François Cordeau & Gilbert Laporte, 2011. "Benders Decomposition for Large-Scale Uncapacitated Hub Location," Operations Research, INFORMS, vol. 59(6), pages 1477-1490, December.
  78. Lim, Gino J. & Bard, Jonathan F., 2016. "Benders decomposition and an IP-based heuristic for selecting IMRT treatment beam anglesAuthor-Name: Lin, Sifeng," European Journal of Operational Research, Elsevier, vol. 251(3), pages 715-726.
  79. Halit Üster & Panitan Kewcharoenwong, 2011. "Strategic Design and Analysis of a Relay Network in Truckload Transportation," Transportation Science, INFORMS, vol. 45(4), pages 505-523, November.
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  81. Maher, Stephen J., 2021. "Implementing the branch-and-cut approach for a general purpose Benders’ decomposition framework," European Journal of Operational Research, Elsevier, vol. 290(2), pages 479-498.
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  88. Duran-Mateluna, Cristian & Ales, Zacharie & Elloumi, Sourour, 2023. "An efficient benders decomposition for the p-median problem," European Journal of Operational Research, Elsevier, vol. 308(1), pages 84-96.
  89. Christian Va Karsten & Stefan Ropke & David Pisinger, 2018. "Simultaneous Optimization of Container Ship Sailing Speed and Container Routing with Transit Time Restrictions," Transportation Science, INFORMS, vol. 52(4), pages 769-787, August.
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  96. Sushil Poudel & Mohammad Marufuzzaman & Md Abdul Quddus & Sudipta Chowdhury & Linkan Bian & Brian Smith, 2018. "Designing a Reliable and Congested Multi-Modal Facility Location Problem for Biofuel Supply Chain Network," Energies, MDPI, vol. 11(7), pages 1-24, June.
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  110. Georgios Saharidis & Marianthi Ierapetritou, 2013. "Speed-up Benders decomposition using maximum density cut (MDC) generation," Annals of Operations Research, Springer, vol. 210(1), pages 101-123, November.
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  112. Wu, Peiling & Hartman, Joseph C. & Wilson, George R., 2003. "A demand-shifting feasibility algorithm for Benders decomposition," European Journal of Operational Research, Elsevier, vol. 148(3), pages 570-583, August.
  113. Gruson, Matthieu & Cordeau, Jean-François & Jans, Raf, 2021. "Benders decomposition for a stochastic three-level lot sizing and replenishment problem with a distribution structure," European Journal of Operational Research, Elsevier, vol. 291(1), pages 206-217.
  114. M. Jenabi & S. Fatemi Ghomi & S. Torabi & S. Hosseinian, 2015. "Acceleration strategies of Benders decomposition for the security constraints power system expansion planning," Annals of Operations Research, Springer, vol. 235(1), pages 337-369, December.
  115. Cordeau, Jean-François & Furini, Fabio & Ljubić, Ivana, 2019. "Benders decomposition for very large scale partial set covering and maximal covering location problems," European Journal of Operational Research, Elsevier, vol. 275(3), pages 882-896.
  116. Halit Üster & Sung Ook Hwang, 2017. "Closed-Loop Supply Chain Network Design Under Demand and Return Uncertainty," Transportation Science, INFORMS, vol. 51(4), pages 1063-1085, November.
  117. Nathan Sudermann‐Merx & Steffen Rebennack & Christian Timpe, 2021. "Crossing Minimal Edge‐Constrained Layout Planning using Benders Decomposition," Production and Operations Management, Production and Operations Management Society, vol. 30(10), pages 3429-3447, October.
  118. Gelareh, Shahin & Nickel, Stefan, 2011. "Hub location problems in transportation networks," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 47(6), pages 1092-1111.
  119. Aghalari, Amin & Nur, Farjana & Marufuzzaman, Mohammad, 2021. "Solving a stochastic inland waterway port management problem using a parallelized hybrid decomposition algorithm," Omega, Elsevier, vol. 102(C).
  120. Fontaine, Pirmin & Minner, Stefan, 2018. "Benders decomposition for the Hazmat Transport Network Design Problem," European Journal of Operational Research, Elsevier, vol. 267(3), pages 996-1002.
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