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A Branch-and-Price Algorithm for the Generalized Assignment Problem

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Cited by:

  1. Edwin Romeijn, H. & Zeynep Sargut, F., 2011. "The stochastic transportation problem with single sourcing," European Journal of Operational Research, Elsevier, vol. 214(2), pages 262-272, October.
  2. Jans, Raf, 2010. "Classification of Dantzig-Wolfe reformulations for binary mixed integer programming problems," European Journal of Operational Research, Elsevier, vol. 204(2), pages 251-254, July.
  3. François Vanderbeck, 2000. "On Dantzig-Wolfe Decomposition in Integer Programming and ways to Perform Branching in a Branch-and-Price Algorithm," Operations Research, INFORMS, vol. 48(1), pages 111-128, February.
  4. Diaz, Juan A. & Fernandez, Elena, 2001. "A Tabu search heuristic for the generalized assignment problem," European Journal of Operational Research, Elsevier, vol. 132(1), pages 22-38, July.
  5. Giorgio Gallo & Federico Di Miele, 2001. "Dispatching Buses in Parking Depots," Transportation Science, INFORMS, vol. 35(3), pages 322-330, August.
  6. Yagiura, Mutsunori & Ibaraki, Toshihide & Glover, Fred, 2006. "A path relinking approach with ejection chains for the generalized assignment problem," European Journal of Operational Research, Elsevier, vol. 169(2), pages 548-569, March.
  7. Faramroze G. Engineer & George L. Nemhauser & Martin W. P. Savelsbergh & Jin-Hwa Song, 2012. "The Fixed-Charge Shortest-Path Problem," INFORMS Journal on Computing, INFORMS, vol. 24(4), pages 578-596, November.
  8. Alberto Ceselli & Federico Liberatore & Giovanni Righini, 2009. "A computational evaluation of a general branch-and-price framework for capacitated network location problems," Annals of Operations Research, Springer, vol. 167(1), pages 209-251, March.
  9. Kavinesh J. Singh & Andy B. Philpott & R. Kevin Wood, 2009. "Dantzig-Wolfe Decomposition for Solving Multistage Stochastic Capacity-Planning Problems," Operations Research, INFORMS, vol. 57(5), pages 1271-1286, October.
  10. H. Edwin Romeijn & Dolores Romero Morales, 2001. "Generating Experimental Data for the Generalized Assignment Problem," Operations Research, INFORMS, vol. 49(6), pages 866-878, December.
  11. Zäpfel, Günther & Bögl, Michael, 2012. "Two heuristic solution concepts for the vehicle selection problem in line haul transports," European Journal of Operational Research, Elsevier, vol. 217(2), pages 448-458.
  12. Osorio, Maria A. & Laguna, Manuel, 2003. "Logic cuts for multilevel generalized assignment problems," European Journal of Operational Research, Elsevier, vol. 151(1), pages 238-246, November.
  13. Cynthia Barnhart & Amy Cohn, 2004. "Airline Schedule Planning: Accomplishments and Opportunities," Manufacturing & Service Operations Management, INFORMS, vol. 6(1), pages 3-22, November.
  14. Drexl, Andreas & Jørnsten, Kurt, 2007. "Pricing the generalized assignment problem," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 627, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
  15. Amy Cohn & Michael Magazine & George Polak, 2009. "Rank‐Cluster‐and‐Prune: An algorithm for generating clusters in complex set partitioning problems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 56(3), pages 215-225, April.
  16. Haddadi, Salim & Ouzia, Hacene, 2004. "Effective algorithm and heuristic for the generalized assignment problem," European Journal of Operational Research, Elsevier, vol. 153(1), pages 184-190, February.
  17. Joseph B. Mazzola & Alan W. Neebe, 2012. "A generalized assignment model for dynamic supply chain capacity planning," Naval Research Logistics (NRL), John Wiley & Sons, vol. 59(6), pages 470-485, September.
  18. Sarac, Abdulkadir & Batta, Rajan & Rump, Christopher M., 2006. "A branch-and-price approach for operational aircraft maintenance routing," European Journal of Operational Research, Elsevier, vol. 175(3), pages 1850-1869, December.
  19. Raghavan, S. & Sahin, Mustafa & Salman, F. Sibel, 2019. "The capacitated mobile facility location problem," European Journal of Operational Research, Elsevier, vol. 277(2), pages 507-520.
  20. Cynthia Barnhart & Ellis L. Johnson & George L. Nemhauser & Martin W. P. Savelsbergh & Pamela H. Vance, 1998. "Branch-and-Price: Column Generation for Solving Huge Integer Programs," Operations Research, INFORMS, vol. 46(3), pages 316-329, June.
  21. Woodcock, Andrew J. & Wilson, John M., 2010. "A hybrid tabu search/branch & bound approach to solving the generalized assignment problem," European Journal of Operational Research, Elsevier, vol. 207(2), pages 566-578, December.
  22. Han-Lin Li & Yao-Huei Huang & Shu-Cherng Fang, 2013. "A Logarithmic Method for Reducing Binary Variables and Inequality Constraints in Solving Task Assignment Problems," INFORMS Journal on Computing, INFORMS, vol. 25(4), pages 643-653, November.
  23. Bożena Staruch & Bogdan Staruch, 2021. "Competence-based assignment of tasks to workers in factories with demand-driven manufacturing," 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. 29(2), pages 553-565, June.
  24. David R. Morrison & Edward C. Sewell & Sheldon H. Jacobson, 2016. "Solving the Pricing Problem in a Branch-and-Price Algorithm for Graph Coloring Using Zero-Suppressed Binary Decision Diagrams," INFORMS Journal on Computing, INFORMS, vol. 28(1), pages 67-82, February.
  25. Malichan Thongkham & Sasitorn Kaewman, 2018. "Methodology to Solve the Combination of the Generalized Assignment Problem and the Vehicle Routing Problem: A Case Study in Drug and Medical Instrument Sales and Service," Administrative Sciences, MDPI, vol. 9(1), pages 1-21, December.
  26. Zhang, Yuankai & Sun, Lijun & Hu, Xiangpei & Zhao, Chen, 2019. "Order consolidation for the last-mile split delivery in online retailing," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 122(C), pages 309-327.
  27. Ahmed Ghoniem & Tulay Flamand & Mohamed Haouari, 2016. "Exact Solution Methods for a Generalized Assignment Problem with Location/Allocation Considerations," INFORMS Journal on Computing, INFORMS, vol. 28(3), pages 589-602, August.
  28. Jeet, V. & Kutanoglu, E., 2007. "Lagrangian relaxation guided problem space search heuristics for generalized assignment problems," European Journal of Operational Research, Elsevier, vol. 182(3), pages 1039-1056, November.
  29. Kim, Junyoung & Goo, Byungju & Roh, Youngjoo & Lee, Chungmok & Lee, Kyungsik, 2023. "A branch-and-price approach for airport gate assignment problem with chance constraints," Transportation Research Part B: Methodological, Elsevier, vol. 168(C), pages 1-26.
  30. C S Sung & W Yang, 2008. "An exact algorithm for a cross-docking supply chain network design problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(1), pages 119-136, January.
  31. Marco E. Lübbecke & Jacques Desrosiers, 2005. "Selected Topics in Column Generation," Operations Research, INFORMS, vol. 53(6), pages 1007-1023, December.
  32. Marjan van den Akker & Han Hoogeveen & Steef van de Velde, 2002. "Combining Column Generation and Lagrangean Relaxation to Solve a Single-Machine Common Due Date Problem," INFORMS Journal on Computing, INFORMS, vol. 14(1), pages 37-51, February.
  33. Zhang, Guowei & Jia, Ning & Zhu, Ning & Adulyasak, Yossiri & Ma, Shoufeng, 2023. "Robust drone selective routing in humanitarian transportation network assessment," European Journal of Operational Research, Elsevier, vol. 305(1), pages 400-428.
  34. 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.
  35. Pessoa, Artur Alves & Hahn, Peter M. & Guignard, Monique & Zhu, Yi-Rong, 2010. "Algorithms for the generalized quadratic assignment problem combining Lagrangean decomposition and the Reformulation-Linearization Technique," European Journal of Operational Research, Elsevier, vol. 206(1), pages 54-63, October.
  36. Rönnberg, Elina & Larsson, Torbjörn, 2009. "Column generation in the integral simplex method," European Journal of Operational Research, Elsevier, vol. 192(1), pages 333-342, January.
  37. Jafar Rezaei & Negin Salimi, 2015. "Optimal ABC inventory classification using interval programming," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(11), pages 1944-1952, August.
  38. A Higgins & G Beashel & A Harrison, 2006. "Scheduling of brand production and shipping within a sugar supply chain," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(5), pages 490-498, May.
  39. Chiou, Yu-Chiun & Lan, Lawrence W., 2001. "Genetic clustering algorithms," European Journal of Operational Research, Elsevier, vol. 135(2), pages 413-427, December.
  40. 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.
  41. Marius Posta & Jacques Ferland & Philippe Michelon, 2012. "An exact method with variable fixing for solving the generalized assignment problem," Computational Optimization and Applications, Springer, vol. 52(3), pages 629-644, July.
  42. Robert M. Nauss, 2003. "Solving the Generalized Assignment Problem: An Optimizing and Heuristic Approach," INFORMS Journal on Computing, INFORMS, vol. 15(3), pages 249-266, August.
  43. Sina Davoudi & Peter Stasinopoulos & Nirajan Shiwakoti, 2024. "Two Decades of Advancements in Cold Supply Chain Logistics for Reducing Food Waste: A Review with Focus on the Meat Industry," Sustainability, MDPI, vol. 16(16), pages 1-67, August.
  44. Klose, Andreas & Drexl, Andreas, 2001. "Combinatorial optimisation problems of the assignment type and a partitioning approach," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 545, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
  45. J.M. van den Akker & C.A.J. Hurkens & M.W.P. Savelsbergh, 2000. "Time-Indexed Formulations for Machine Scheduling Problems: Column Generation," INFORMS Journal on Computing, INFORMS, vol. 12(2), pages 111-124, May.
  46. Gamvros, Ioannis & Raghavan, S., 2012. "Multi-period traffic routing in satellite networks," European Journal of Operational Research, Elsevier, vol. 219(3), pages 738-750.
  47. Mestry, Siddharth & Damodaran, Purushothaman & Chen, Chin-Sheng, 2011. "A branch and price solution approach for order acceptance and capacity planning in make-to-order operations," European Journal of Operational Research, Elsevier, vol. 211(3), pages 480-495, June.
  48. 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.
  49. Subhash C. Sarin & Hanif D. Sherali & Seon Ki Kim, 2014. "A branch‐and‐price approach for the stochastic generalized assignment problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 61(2), pages 131-143, March.
  50. Irnich, Stefan, 2000. "A multi-depot pickup and delivery problem with a single hub and heterogeneous vehicles," European Journal of Operational Research, Elsevier, vol. 122(2), pages 310-328, April.
  51. Zheng Wang & Jiuh‐Biing Sheu & Chung‐Piaw Teo & Guiqin Xue, 2022. "Robot Scheduling for Mobile‐Rack Warehouses: Human–Robot Coordinated Order Picking Systems," Production and Operations Management, Production and Operations Management Society, vol. 31(1), pages 98-116, January.
  52. Thomas C. Sharkey & Joseph Geunes & H. Edwin Romeijn & Zuo‐Jun Max Shen, 2011. "Exact algorithms for integrated facility location and production planning problems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 58(5), pages 419-436, August.
  53. Wei Huang & H. Edwin Romeijn & Joseph Geunes, 2005. "The continuous‐time single‐sourcing problem with capacity expansion opportunities," Naval Research Logistics (NRL), John Wiley & Sons, vol. 52(3), pages 193-211, April.
  54. Albert H. Schrotenboer & Evrim Ursavas & Iris F. A. Vis, 2019. "A Branch-and-Price-and-Cut Algorithm for Resource-Constrained Pickup and Delivery Problems," Transportation Science, INFORMS, vol. 53(4), pages 1001-1022, July.
  55. Rosemary T. Berger & Collette R. Coullard & Mark S. Daskin, 2007. "Location-Routing Problems with Distance Constraints," Transportation Science, INFORMS, vol. 41(1), pages 29-43, February.
  56. Reihaneh, Mohammad & Abouei Ardakan, Mostafa & Eskandarpour, Majid, 2022. "An exact algorithm for the redundancy allocation problem with heterogeneous components under the mixed redundancy strategy," European Journal of Operational Research, Elsevier, vol. 297(3), pages 1112-1125.
  57. 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.
  58. Torbjörn Larsson & Michael Patriksson, 2006. "Global Optimality Conditions for Discrete and Nonconvex Optimization---With Applications to Lagrangian Heuristics and Column Generation," Operations Research, INFORMS, vol. 54(3), pages 436-453, June.
  59. 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.
  60. de Matta, Renato & Peters, Emmanuel, 2009. "Developing work schedules for an inter-city transit system with multiple driver types and fleet types," European Journal of Operational Research, Elsevier, vol. 192(3), pages 852-865, February.
  61. John J. H. Forrest & Jayant Kalagnanam & Laszlo Ladanyi, 2006. "A Column-Generation Approach to the Multiple Knapsack Problem with Color Constraints," INFORMS Journal on Computing, INFORMS, vol. 18(1), pages 129-134, February.
  62. repec:dgr:rugsom:02a11 is not listed on IDEAS
  63. Lu, Yiping & Chen, Danny Z., 2021. "A new exact algorithm for the Weapon-Target Assignment problem," Omega, Elsevier, vol. 98(C).
  64. Manlio Gaudioso & Giovanni Giallombardo & Giovanna Miglionico, 2009. "On solving the Lagrangian dual of integer programs via an incremental approach," Computational Optimization and Applications, Springer, vol. 44(1), pages 117-138, October.
  65. Peters, Emmanuel & de Matta, Renato & Boe, Warren, 2007. "Short-term work scheduling with job assignment flexibility for a multi-fleet transport system," European Journal of Operational Research, Elsevier, vol. 180(1), pages 82-98, July.
  66. Wei Yang & Itır Karaesmen & Pınar Keskinocak & Sridhar Tayur, 2008. "Aircraft and crew scheduling for fractional ownership programs," Annals of Operations Research, Springer, vol. 159(1), pages 415-431, March.
  67. Rostami, Salim & Creemers, Stefan & Wei, Wenchao & Leus, Roel, 2019. "Sequential testing of n-out-of-n systems: Precedence theorems and exact methods," European Journal of Operational Research, Elsevier, vol. 274(3), pages 876-885.
  68. Guglielmo Lulli & Suvrajeet Sen, 2004. "A Branch-and-Price Algorithm for Multistage Stochastic Integer Programming with Application to Stochastic Batch-Sizing Problems," Management Science, INFORMS, vol. 50(6), pages 786-796, June.
  69. Mutsunori Yagiura & Toshihide Ibaraki & Fred Glover, 2004. "An Ejection Chain Approach for the Generalized Assignment Problem," INFORMS Journal on Computing, INFORMS, vol. 16(2), pages 133-151, May.
  70. Richard Freling & H. Edwin Romeijn & Dolores Romero Morales & Albert P. M. Wagelmans, 2003. "A Branch-and-Price Algorithm for the Multiperiod Single-Sourcing Problem," Operations Research, INFORMS, vol. 51(6), pages 922-939, December.
  71. Peeters, M. & Kroon, L.G., 2003. "Circulation of Railway Rolling Stock: A Branch-and-Price Approach," ERIM Report Series Research in Management ERS-2003-055-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.
  72. Albareda-Sambola, Maria & Vlerk, Maarten H. van der & Fernandez, Elena, 2002. "Exact solutions to a class of stochastic generalized assignment problems," Research Report 02A11, University of Groningen, Research Institute SOM (Systems, Organisations and Management).
  73. Naderi, Siamak & Kilic, Kemal & Dasci, Abdullah, 2020. "A deterministic model for the transshipment problem of a fast fashion retailer under capacity constraints," International Journal of Production Economics, Elsevier, vol. 227(C).
  74. Reihaneh, Mohammad & Ansari, Sina & Farhadi, Farbod, 2023. "Patient appointment scheduling at hemodialysis centers: An exact branch and price approach," European Journal of Operational Research, Elsevier, vol. 309(1), pages 35-52.
  75. Li, Jing-Quan & Borenstein, Denis & Mirchandani, Pitu B., 2008. "Truck scheduling for solid waste collection in the City of Porto Alegre, Brazil," Omega, Elsevier, vol. 36(6), pages 1133-1149, December.
  76. Richard Freling & H. Edwin Romeijn & Dolores Romero Morales & Albert P.M. Wagelmans, 1999. "A Branch and Price Algorithm for the Multi-Period Single-Sourcing Problem," Tinbergen Institute Discussion Papers 99-092/4, Tinbergen Institute.
  77. Salim Haddadi, 2019. "Variable-fixing then subgradient optimization guided very large scale neighborhood search for the generalized assignment problem," 4OR, Springer, vol. 17(3), pages 261-295, September.
  78. Mehdi Mrad & Anis Gharbi & Mohamed Haouari & Mohamed Kharbeche, 2016. "An optimization-based heuristic for the machine reassignment problem," Annals of Operations Research, Springer, vol. 242(1), pages 115-132, July.
  79. Meng, Qiang & Wang, Shuaian & Lee, Chung-Yee, 2015. "A tailored branch-and-price approach for a joint tramp ship routing and bunkering problem," Transportation Research Part B: Methodological, Elsevier, vol. 72(C), pages 1-19.
  80. Richa Agarwal & Özlem Ergun, 2010. "Network Design and Allocation Mechanisms for Carrier Alliances in Liner Shipping," Operations Research, INFORMS, vol. 58(6), pages 1726-1742, December.
  81. Taaffe, Kevin & Geunes, Joseph & Edwin Romeijn, H., 2010. "Supply capacity acquisition and allocation with uncertain customer demands," European Journal of Operational Research, Elsevier, vol. 204(2), pages 263-273, July.
  82. Talla Nobibon, Fabrice & Leus, Roel & Spieksma, Frits C.R., 2011. "Optimization models for targeted offers in direct marketing: Exact and heuristic algorithms," European Journal of Operational Research, Elsevier, vol. 210(3), pages 670-683, May.
  83. Bender, Matthias & Kalcsics, Jörg & Nickel, Stefan & Pouls, Martin, 2018. "A branch-and-price algorithm for the scheduling of customer visits in the context of multi-period service territory design," European Journal of Operational Research, Elsevier, vol. 269(1), pages 382-396.
  84. Daniel Villeneuve & Jacques Desrosiers & Marco Lübbecke & François Soumis, 2005. "On Compact Formulations for Integer Programs Solved by Column Generation," Annals of Operations Research, Springer, vol. 139(1), pages 375-388, October.
  85. Chauhan, Satyaveer S. & Frayret, Jean-Marc & LeBel, Luc, 2009. "Multi-commodity supply network planning in the forest supply chain," European Journal of Operational Research, Elsevier, vol. 196(2), pages 688-696, July.
  86. Nigam, Ashutosh & Agarwal, Yogesh K., 2014. "Optimal relay node placement in delay constrained wireless sensor network design," European Journal of Operational Research, Elsevier, vol. 233(1), pages 220-233.
  87. Peeters, Marc & Degraeve, Zeger, 2006. "Branch-and-price algorithms for the dual bin packing and maximum cardinality bin packing problem," European Journal of Operational Research, Elsevier, vol. 170(2), pages 416-439, April.
  88. Degraeve, Z. & Jans, R.F., 2003. "A New Dantzig-Wolfe Reformulation And Branch-And-Price Algorithm For The Capacitated Lot Sizing Problem With Set Up Times," ERIM Report Series Research in Management ERS-2003-010-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.
  89. Syam Menon & Linus Schrage, 2002. "Order Allocation for Stock Cutting in the Paper Industry," Operations Research, INFORMS, vol. 50(2), pages 324-332, April.
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