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Branch-and-Price: Column Generation for Solving Huge Integer Programs

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  1. Valerio de Carvalho, J. M., 2002. "LP models for bin packing and cutting stock problems," European Journal of Operational Research, Elsevier, vol. 141(2), pages 253-273, September.
  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. Adil Tahir & Guy Desaulniers & Issmail El Hallaoui, 2022. "Integral Column Generation for Set Partitioning Problems with Side Constraints," INFORMS Journal on Computing, INFORMS, vol. 34(4), pages 2313-2331, July.
  4. Taha Keshavarz & Nasser Salmasi & Mohsen Varmazyar, 2015. "Minimizing total completion time in the flexible flowshop sequence-dependent group scheduling problem," Annals of Operations Research, Springer, vol. 226(1), pages 351-377, March.
  5. Sun, Peng & Veelenturf, Lucas P. & Hewitt, Mike & Van Woensel, Tom, 2018. "The time-dependent pickup and delivery problem with time windows," Transportation Research Part B: Methodological, Elsevier, vol. 116(C), pages 1-24.
  6. Okan Örsan Özener & Melda Örmeci Matoğlu & Güneş Erdoğan & Mohamed Haouari & Hasan Sözer, 2017. "Solving a large-scale integrated fleet assignment and crew pairing problem," Annals of Operations Research, Springer, vol. 253(1), pages 477-500, June.
  7. Ciancio, Claudio & Laganà, Demetrio & Musmanno, Roberto & Santoro, Francesco, 2018. "An integrated algorithm for shift scheduling problems for local public transport companies," Omega, Elsevier, vol. 75(C), pages 139-153.
  8. Maenhout, Broos & Vanhoucke, Mario, 2010. "A hybrid scatter search heuristic for personalized crew rostering in the airline industry," European Journal of Operational Research, Elsevier, vol. 206(1), pages 155-167, October.
  9. Wenjun Ni & Jia Shu & Miao Song & Dachuan Xu & Kaike Zhang, 2021. "A Branch-and-Price Algorithm for Facility Location with General Facility Cost Functions," INFORMS Journal on Computing, INFORMS, vol. 33(1), pages 86-104, January.
  10. Desrosiers, Jacques & Gauthier, Jean Bertrand & Lübbecke, Marco E., 2014. "Row-reduced column generation for degenerate master problems," European Journal of Operational Research, Elsevier, vol. 236(2), pages 453-460.
  11. Kristian Thun & Henrik Andersson & Marielle Christiansen, 2017. "Analyzing complex service structures in liner shipping network design," Flexible Services and Manufacturing Journal, Springer, vol. 29(3), pages 535-552, December.
  12. C. Arbib & F. Marinelli, 2009. "Exact and Asymptotically Exact Solutions for a Class of Assortment Problems," INFORMS Journal on Computing, INFORMS, vol. 21(1), pages 13-25, February.
  13. Elias Munapo & Santosh Kumar, 2021. "Reducing the complexity of the knapsack linear integer problem by reformulation techniques," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 12(6), pages 1087-1093, December.
  14. Boubaker, Khaled & Desaulniers, Guy & Elhallaoui, Issmail, 2010. "Bidline scheduling with equity by heuristic dynamic constraint aggregation," Transportation Research Part B: Methodological, Elsevier, vol. 44(1), pages 50-61, January.
  15. Marcin Chodnicki & Barbara Siemiatkowska & Wojciech Stecz & Sławomir Stępień, 2022. "Energy Efficient UAV Flight Control Method in an Environment with Obstacles and Gusts of Wind," Energies, MDPI, vol. 15(10), pages 1-31, May.
  16. Hennig, F. & Nygreen, B. & Furman, K.C. & Song, J., 2015. "Alternative approaches to the crude oil tanker routing and scheduling problem with split pickup and split delivery," European Journal of Operational Research, Elsevier, vol. 243(1), pages 41-51.
  17. Guy Desaulniers & François Lessard & Ahmed Hadjar, 2008. "Tabu Search, Partial Elementarity, and Generalized k -Path Inequalities for the Vehicle Routing Problem with Time Windows," Transportation Science, INFORMS, vol. 42(3), pages 387-404, August.
  18. İbrahim Muter & Ş. İlker Birbil & Güvenç Şahin, 2010. "Combination of Metaheuristic and Exact Algorithms for Solving Set Covering-Type Optimization Problems," INFORMS Journal on Computing, INFORMS, vol. 22(4), pages 603-619, November.
  19. Fabien Tricoire & Nathalie Bostel & Pierre Dejax & Pierre Guez, 2013. "Exact and hybrid methods for the multiperiod field service routing problem," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 21(2), pages 359-377, March.
  20. Silke Jütte & Daniel Müller & Ulrich W. Thonemann, 2017. "Optimizing railway crew schedules with fairness preferences," Journal of Scheduling, Springer, vol. 20(1), pages 43-55, February.
  21. Alexandre M. Florio & Richard F. Hartl & Stefan Minner, 2020. "New Exact Algorithm for the Vehicle Routing Problem with Stochastic Demands," Transportation Science, INFORMS, vol. 54(4), pages 1073-1090, July.
  22. Koza, David Franz, 2019. "Liner shipping service scheduling and cargo allocation," European Journal of Operational Research, Elsevier, vol. 275(3), pages 897-915.
  23. Rivi Sandhu & Diego Klabjan, 2007. "Integrated Airline Fleeting and Crew-Pairing Decisions," Operations Research, INFORMS, vol. 55(3), pages 439-456, June.
  24. Wen, Xin & Sun, Xuting & Sun, Yige & Yue, Xiaohang, 2021. "Airline crew scheduling: Models and algorithms," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 149(C).
  25. Park, Jongyoon & Han, Jinil & Lee, Kyungsik, 2022. "Integer Optimization Model and Algorithm for the Stem Cell Culturing Problem," Omega, Elsevier, vol. 108(C).
  26. Klabjan, Diego, 2007. "Subadditive approaches in integer programming," European Journal of Operational Research, Elsevier, vol. 183(2), pages 525-545, December.
  27. Kirsten Hoffmann & Udo Buscher & Janis Sebastian Neufeld & Felix Tamke, 2017. "Solving Practical Railway Crew Scheduling Problems with Attendance Rates," Business & Information Systems Engineering: The International Journal of WIRTSCHAFTSINFORMATIK, Springer;Gesellschaft für Informatik e.V. (GI), vol. 59(3), pages 147-159, June.
  28. Belií«n, Jeroen & Demeulemeester, Erik, 2008. "A branch-and-price approach for integrating nurse and surgery scheduling," European Journal of Operational Research, Elsevier, vol. 189(3), pages 652-668, September.
  29. Fırat, M. & Briskorn, D. & Laugier, A., 2016. "A Branch-and-Price algorithm for stable workforce assignments with hierarchical skills," European Journal of Operational Research, Elsevier, vol. 251(2), pages 676-685.
  30. Yan, Shangyao & Tu, Yu-Ping, 2002. "A network model for airline cabin crew scheduling," European Journal of Operational Research, Elsevier, vol. 140(3), pages 531-540, August.
  31. Tsai, Jung-Fa & Lin, Ming-Hua & Hu, Yi-Chung, 2008. "Finding multiple solutions to general integer linear programs," European Journal of Operational Research, Elsevier, vol. 184(2), pages 802-809, January.
  32. Huisman, D. & Jans, R.F. & Peeters, M. & Wagelmans, A.P.M., 2003. "Combining Column Generation and Lagrangian Relaxation," ERIM Report Series Research in Management ERS-2003-092-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
  33. David R. Morrison & Jason J. Sauppe & Edward C. Sewell & Sheldon H. Jacobson, 2014. "A Wide Branching Strategy for the Graph Coloring Problem," INFORMS Journal on Computing, INFORMS, vol. 26(4), pages 704-717, November.
  34. Sheng Liu & Long He & Zuo-Jun Max Shen, 2021. "On-Time Last-Mile Delivery: Order Assignment with Travel-Time Predictors," Management Science, INFORMS, vol. 67(7), pages 4095-4119, July.
  35. Pepin, A.S. & Desaulniers, G. & Hertz, A. & Huisman, D., 2006. "Comparison of heuristic approaches for the multiple depot vehicle scheduling problem," Econometric Institute Research Papers EI 2006-34, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
  36. Neda Tanoumand & Tonguç Ünlüyurt, 2021. "An exact algorithm for the resource constrained home health care vehicle routing problem," Annals of Operations Research, Springer, vol. 304(1), pages 397-425, September.
  37. Hoogervorst, R. & Dollevoet, T.A.B. & Maróti, G. & Huisman, D., 2018. "Reducing Passenger Delays by Rolling Stock Rescheduling," Econometric Institute Research Papers EI2018-29, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
  38. Li, Siqiao & Zhu, Xiaoning & Shang, Pan & Li, Tianqi & Liu, Wenqian, 2023. "Optimizing a shared freight and passenger high-speed railway system: A multi-commodity flow formulation with Benders decomposition solution approach," Transportation Research Part B: Methodological, Elsevier, vol. 172(C), pages 1-31.
  39. Muter, İbrahim & Birbil, Ş. İlker & Bülbül, Kerem, 2018. "Benders decomposition and column-and-row generation for solving large-scale linear programs with column-dependent-rows," European Journal of Operational Research, Elsevier, vol. 264(1), pages 29-45.
  40. Jiliu Li & Zhixing Luo & Roberto Baldacci & Hu Qin & Zhou Xu, 2023. "A New Exact Algorithm for Single-Commodity Vehicle Routing with Split Pickups and Deliveries," INFORMS Journal on Computing, INFORMS, vol. 35(1), pages 31-49, January.
  41. Ng, Tsan Sheng & Sun, Yang & Fowler, John, 2010. "Semiconductor lot allocation using robust optimization," European Journal of Operational Research, Elsevier, vol. 205(3), pages 557-570, September.
  42. Amy Cohn & Sarah Root & Alex Wang & Douglas Mohr, 2007. "Integration of the Load-Matching and Routing Problem with Equipment Balancing for Small Package Carriers," Transportation Science, INFORMS, vol. 41(2), pages 238-252, May.
  43. Jørgen Glomvik Rakke & Henrik Andersson & Marielle Christiansen & Guy Desaulniers, 2015. "A New Formulation Based on Customer Delivery Patterns for a Maritime Inventory Routing Problem," Transportation Science, INFORMS, vol. 49(2), pages 384-401, May.
  44. Shawn Choo & Diego Klabjan & David Simchi-Levi, 2010. "Multiship Crane Sequencing with Yard Congestion Constraints," Transportation Science, INFORMS, vol. 44(1), pages 98-115, February.
  45. Chu, James C., 2018. "Mixed-integer programming model and branch-and-price-and-cut algorithm for urban bus network design and timetabling," Transportation Research Part B: Methodological, Elsevier, vol. 108(C), pages 188-216.
  46. Baldacci, Roberto & Hoshino, Edna A. & Hill, Alessandro, 2023. "New pricing strategies and an effective exact solution framework for profit-oriented ring arborescence problems," European Journal of Operational Research, Elsevier, vol. 307(2), pages 538-553.
  47. Kipp Martin, 2010. "Tutorial: COIN-OR: Software for the OR Community," Interfaces, INFORMS, vol. 40(6), pages 465-476, December.
  48. Ali, Agha Iqbal & O'Connor, Debra J., 2010. "The impact of distribution system characteristics on computational tractability," European Journal of Operational Research, Elsevier, vol. 200(2), pages 323-333, January.
  49. Fink, Martin & Desaulniers, Guy & Frey, Markus & Kiermaier, Ferdinand & Kolisch, Rainer & Soumis, François, 2019. "Column generation for vehicle routing problems with multiple synchronization constraints," European Journal of Operational Research, Elsevier, vol. 272(2), pages 699-711.
  50. Tian, Zheng & Zheng, Li, 2024. "Single machine parallel-batch scheduling under time-of-use electricity prices: New formulations and optimisation approaches," European Journal of Operational Research, Elsevier, vol. 312(2), pages 512-524.
  51. Malapert, Arnaud & Guéret, Christelle & Rousseau, Louis-Martin, 2012. "A constraint programming approach for a batch processing problem with non-identical job sizes," European Journal of Operational Research, Elsevier, vol. 221(3), pages 533-545.
  52. Arpan Rijal & Marco Bijvank & Asvin Goel & René de Koster, 2021. "Workforce Scheduling with Order-Picking Assignments in Distribution Facilities," Transportation Science, INFORMS, vol. 55(3), pages 725-746, May.
  53. Iman Dayarian & Guy Desaulniers, 2019. "A Branch-Price-and-Cut Algorithm for a Production-Routing Problem with Short-Life-Span Products," Transportation Science, INFORMS, vol. 53(3), pages 829-849, May.
  54. Samir Elhedhli & Jean-Louis Goffin, 2005. "Efficient Production-Distribution System Design," Management Science, INFORMS, vol. 51(7), pages 1151-1164, July.
  55. Dominique Feillet & Pierre Dejax & Michel Gendreau, 2005. "The Profitable Arc Tour Problem: Solution with a Branch-and-Price Algorithm," Transportation Science, INFORMS, vol. 39(4), pages 539-552, November.
  56. Gao, Yuan & Schmidt, Marie & Yang, Lixing & Gao, Ziyou, 2020. "A branch-and-price approach for trip sequence planning of high-speed train units," Omega, Elsevier, vol. 92(C).
  57. Zeger Degraeve & Marc Peeters, 2003. "Optimal Integer Solutions to Industrial Cutting-Stock Problems: Part 2, Benchmark Results," INFORMS Journal on Computing, INFORMS, vol. 15(1), pages 58-81, February.
  58. Gunnarsson, Helene & Ronnqvist, Mikael & Lundgren, Jan T., 2004. "Supply chain modelling of forest fuel," European Journal of Operational Research, Elsevier, vol. 158(1), pages 103-123, October.
  59. Tuomas Sandholm & Subhash Suri & Andrew Gilpin & David Levine, 2005. "CABOB: A Fast Optimal Algorithm for Winner Determination in Combinatorial Auctions," Management Science, INFORMS, vol. 51(3), pages 374-390, March.
  60. Martinovic, J. & Strasdat, N. & Valério de Carvalho, J. & Furini, F., 2023. "A combinatorial flow-based formulation for temporal bin packing problems," European Journal of Operational Research, Elsevier, vol. 307(2), pages 554-574.
  61. Raf Jans, 2009. "Solving Lot-Sizing Problems on Parallel Identical Machines Using Symmetry-Breaking Constraints," INFORMS Journal on Computing, INFORMS, vol. 21(1), pages 123-136, February.
  62. Sebastián Moreno & Jordi Pereira & Wilfredo Yushimito, 2020. "A hybrid K-means and integer programming method for commercial territory design: a case study in meat distribution," Annals of Operations Research, Springer, vol. 286(1), pages 87-117, March.
  63. Zhi‐Long Chen & Warren B. Powell, 2003. "Exact algorithms for scheduling multiple families of jobs on parallel machines," Naval Research Logistics (NRL), John Wiley & Sons, vol. 50(7), pages 823-840, October.
  64. Daniel Reich & Yuhui Shi & Marina Epelman & Amy Cohn & Ellen Barnes & Kirk Arthurs & Erica Klampfl, 2016. "Scheduling Crash Tests at Ford Motor Company," Interfaces, INFORMS, vol. 46(5), pages 409-423, October.
  65. Fu Lin & Sven Leyffer & Todd Munson, 2016. "A two-level approach to large mixed-integer programs with application to cogeneration in energy-efficient buildings," Computational Optimization and Applications, Springer, vol. 65(1), pages 1-46, September.
  66. Kristiaan M. Glorie & J. Joris van de Klundert & Albert P. M. Wagelmans, 2014. "Kidney Exchange with Long Chains: An Efficient Pricing Algorithm for Clearing Barter Exchanges with Branch-and-Price," Manufacturing & Service Operations Management, INFORMS, vol. 16(4), pages 498-512, October.
  67. Isabel Martins & Filipe Alvelos & Miguel Constantino, 2012. "A branch-and-price approach for harvest scheduling subject to maximum area restrictions," Computational Optimization and Applications, Springer, vol. 51(1), pages 363-385, January.
  68. Filipe Alvelos & Xenia Klimentova & Ana Viana, 2019. "Maximizing the expected number of transplants in kidney exchange programs with branch-and-price," Annals of Operations Research, Springer, vol. 272(1), pages 429-444, January.
  69. Breugem, T. & van Rossum, B.T.C. & Dollevoet, T. & Huisman, D., 2022. "A column generation approach for the integrated crew re-planning problem," Omega, Elsevier, vol. 107(C).
  70. Rauchecker, Gerhard & Schryen, Guido, 2019. "An exact branch-and-price algorithm for scheduling rescue units during disaster response," European Journal of Operational Research, Elsevier, vol. 272(1), pages 352-363.
  71. Young Woong Park & Yan Jiang & Diego Klabjan & Loren Williams, 2017. "Algorithms for Generalized Clusterwise Linear Regression," INFORMS Journal on Computing, INFORMS, vol. 29(2), pages 301-317, May.
  72. Alberto Ceselli & Giovanni Righini, 2006. "A Branch-and-Price Algorithm for the Multilevel Generalized Assignment Problem," Operations Research, INFORMS, vol. 54(6), pages 1172-1184, December.
  73. Salani, Matteo & Vacca, Ilaria, 2011. "Branch and price for the vehicle routing problem with discrete split deliveries and time windows," European Journal of Operational Research, Elsevier, vol. 213(3), pages 470-477, September.
  74. Shan Lan & John-Paul Clarke & Cynthia Barnhart, 2006. "Planning for Robust Airline Operations: Optimizing Aircraft Routings and Flight Departure Times to Minimize Passenger Disruptions," Transportation Science, INFORMS, vol. 40(1), pages 15-28, February.
  75. Cynthia Barnhart & Christopher A. Hane & Pamela H. Vance, 2000. "Using Branch-and-Price-and-Cut to Solve Origin-Destination Integer Multicommodity Flow Problems," Operations Research, INFORMS, vol. 48(2), pages 318-326, April.
  76. Bianchessi, Nicola & Corberán, Ángel & Plana, Isaac & Reula, Miguel & Sanchis, José M., 2022. "The min-max close-enough arc routing problem," European Journal of Operational Research, Elsevier, vol. 300(3), pages 837-851.
  77. Ashish K. Nemani & Suat Bog & Ravindra K. Ahuja, 2010. "Solving the Curfew Planning Problem," Transportation Science, INFORMS, vol. 44(4), pages 506-523, November.
  78. Jinil Han & Kyungsik Lee & Chungmok Lee & Sungsoo Park, 2013. "Exact Algorithms for a Bandwidth Packing Problem with Queueing Delay Guarantees," INFORMS Journal on Computing, INFORMS, vol. 25(3), pages 585-596, August.
  79. Marc Peeters & Zeger Degraeve, 2004. "The Co-Printing Problem: A Packing Problem with a Color Constraint," Operations Research, INFORMS, vol. 52(4), pages 623-638, August.
  80. Borzou Rostami & Guy Desaulniers & Fausto Errico & Andrea Lodi, 2021. "Branch-Price-and-Cut Algorithms for the Vehicle Routing Problem with Stochastic and Correlated Travel Times," Operations Research, INFORMS, vol. 69(2), pages 436-455, March.
  81. Irvin Lustig & Patricia Randall & Robert Randall, 2021. "Formulation Matters: Reciprocating Integer Programming for Birchbox Product Assortment," Interfaces, INFORMS, vol. 51(5), pages 347-360, September.
  82. Raymond Kwan & Ann Kwan, 2007. "Effective search space control for large and/or complex driver scheduling problems," Annals of Operations Research, Springer, vol. 155(1), pages 417-435, November.
  83. Haroldo Santos & Eduardo Uchoa & Luiz Ochi & Nelson Maculan, 2012. "Strong bounds with cut and column generation for class-teacher timetabling," Annals of Operations Research, Springer, vol. 194(1), pages 399-412, April.
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  85. Ojeong Kwon & Kyungsik Lee & Donghan Kang & Sungsoo Park, 2007. "A branch‐and‐price algorithm for a targeting problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 54(7), pages 732-741, October.
  86. Miguel A. Lejeune & Andrzej Ruszczyński, 2007. "An Efficient Trajectory Method for Probabilistic Production-Inventory-Distribution Problems," Operations Research, INFORMS, vol. 55(2), pages 378-394, April.
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  101. Samorani, Michele & LaGanga, Linda R., 2015. "Outpatient appointment scheduling given individual day-dependent no-show predictions," European Journal of Operational Research, Elsevier, vol. 240(1), pages 245-257.
  102. Jonathan Eckstein & Avigdor Gal & Sarit Reiner, 2008. "Monitoring an Information Source Under a Politeness Constraint," INFORMS Journal on Computing, INFORMS, vol. 20(1), pages 3-20, February.
  103. Paul A. Chircop & Timothy J. Surendonk & Menkes H. L. van den Briel & Toby Walsh, 2022. "On routing and scheduling a fleet of resource-constrained vessels to provide ongoing continuous patrol coverage," Annals of Operations Research, Springer, vol. 312(2), pages 723-760, May.
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  105. Wiebke Höhn & Felix G. König & Rolf H. Möhring & Marco E. Lübbecke, 2011. "Integrated Sequencing and Scheduling in Coil Coating," Management Science, INFORMS, vol. 57(4), pages 647-666, April.
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  108. Zhao, Yanlu & Alfandari, Laurent, 2020. "Design of diversified package tours for the digital travel industry : A branch-cut-and-price approach," European Journal of Operational Research, Elsevier, vol. 285(3), pages 825-843.
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  111. Lishun Zeng & Mingyu Zhao & Yangfan Liu, 2019. "Airport ground workforce planning with hierarchical skills: a new formulation and branch-and-price approach," Annals of Operations Research, Springer, vol. 275(1), pages 245-258, April.
  112. Giuseppe Lancia & Paolo Serafini, 2016. "Deriving compact extended formulations via LP-based separation techniques," Annals of Operations Research, Springer, vol. 240(1), pages 321-350, May.
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  114. Karabuk, Suleyman, 2009. "A nested decomposition approach for solving the paratransit vehicle scheduling problem," Transportation Research Part B: Methodological, Elsevier, vol. 43(4), pages 448-465, May.
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  116. Hang Xu & Zhi-Long Chen & Srinivas Rajagopal & Sundar Arunapuram, 2003. "Solving a Practical Pickup and Delivery Problem," Transportation Science, INFORMS, vol. 37(3), pages 347-364, August.
  117. Ines Mathlouthi & Michel Gendreau & Jean-Yves Potvin, 2021. "Branch-and-Price for a Multi-attribute Technician Routing and Scheduling Problem," SN Operations Research Forum, Springer, vol. 2(1), pages 1-35, March.
  118. Markus Frey & Rainer Kolisch & Christian Artigues, 2017. "Column Generation for Outbound Baggage Handling at Airports," Transportation Science, INFORMS, vol. 51(4), pages 1226-1241, November.
  119. Sun, Yanshuo & Chen, Zhi-Long & Zhang, Lei, 2020. "Nonprofit peer-to-peer ridesharing optimization," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 142(C).
  120. Bani, Abderrahman & El Hallaoui, Issmail & Corréa, Ayoub Insa & Tahir, Adil, 2023. "Solving a real-world multi-depot multi-period petrol replenishment problem with complex loading constraints," European Journal of Operational Research, Elsevier, vol. 311(1), pages 154-172.
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