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An Applications Oriented Guide to Lagrangian Relaxation

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  1. Koushik Ramakrishna & Moosa Sharafali & Yun Lim, 2015. "A two-item two-warehouse periodic review inventory model with transshipment," Annals of Operations Research, Springer, vol. 233(1), pages 365-381, October.
  2. Cattrysse, D. G. & van Wassenhove, L. N., 1990. "A Survey Of Algorithms For The Generalized Assignment Problem," Econometric Institute Archives 272389, Erasmus University Rotterdam.
  3. Weraikat, Dua & Zanjani, Masoumeh Kazemi & Lehoux, Nadia, 2016. "Two-echelon pharmaceutical reverse supply chain coordination with customers incentives," International Journal of Production Economics, Elsevier, vol. 176(C), pages 41-52.
  4. Jayaraman, Vaidyanathan & Gupta, Rakesh & Pirkul, Hasan, 2003. "Selecting hierarchical facilities in a service-operations environment," European Journal of Operational Research, Elsevier, vol. 147(3), pages 613-628, June.
  5. Bell, Colin E., 1996. "Finding improving directions in Lagrangian relaxation by fictitious play: A NASA scheduling application," European Journal of Operational Research, Elsevier, vol. 88(3), pages 550-562, February.
  6. Kristin Sahyouni & R. Canan Savaskan & Mark S. Daskin, 2007. "A Facility Location Model for Bidirectional Flows," Transportation Science, INFORMS, vol. 41(4), pages 484-499, November.
  7. Li, Wenjie & Yang, Lixing & Wang, Li & Zhou, Xuesong & Liu, Ronghui & Gao, Ziyou, 2017. "Eco-reliable path finding in time-variant and stochastic networks," Energy, Elsevier, vol. 121(C), pages 372-387.
  8. 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.
  9. 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.
  10. Bao, Zhaoyao & Li, Jiapei & Bai, Xuehan & Xie, Chi & Chen, Zhibin & Xu, Min & Shang, Wen-Long & Li, Hailong, 2023. "An optimal charging scheduling model and algorithm for electric buses," Applied Energy, Elsevier, vol. 332(C).
  11. Xia, Yang & Zeng, Wenjia & Zhang, Canrong & Yang, Hai, 2023. "A branch-and-price-and-cut algorithm for the vehicle routing problem with load-dependent drones," Transportation Research Part B: Methodological, Elsevier, vol. 171(C), pages 80-110.
  12. Kelley, Morgan T. & Pattison, Richard C. & Baldick, Ross & Baldea, Michael, 2018. "An MILP framework for optimizing demand response operation of air separation units," Applied Energy, Elsevier, vol. 222(C), pages 951-966.
  13. Saligrama R. Agnihothri & Sridhar Narasimhan & Hasan Pirkul, 1990. "An assignment problem with queueing time cost," Naval Research Logistics (NRL), John Wiley & Sons, vol. 37(2), pages 231-244, April.
  14. 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.
  15. Marshall L. Fisher, 2004. "Comments on ÜThe Lagrangian Relaxation Method for Solving Integer Programming ProblemsÝ," Management Science, INFORMS, vol. 50(12_supple), pages 1872-1874, December.
  16. Bigler, T. & Kammermann, M. & Baumann, P., 2023. "A matheuristic for a customer assignment problem in direct marketing," European Journal of Operational Research, Elsevier, vol. 304(2), pages 689-708.
  17. Nejib Ben-Khedher & Josephine Kintanar & Cecile Queille & William Stripling, 1998. "Schedule Optimization at SNCF: From Conception to Day of Departure," Interfaces, INFORMS, vol. 28(1), pages 6-23, February.
  18. Yanling Chu & Xiaoju Zhang & Zhongzhen Yang, 2017. "Multiple quay cranes scheduling for double cycling in container terminals," PLOS ONE, Public Library of Science, vol. 12(7), pages 1-19, July.
  19. Ojeong Kwon & Donghan Kang & Kyungsik Lee & Sungsoo Park, 1999. "Lagrangian relaxation approach to the targeting problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 46(6), pages 640-653, September.
  20. S Bilgin & M Azizoǧlu, 2006. "Capacity and tool allocation problem in flexible manufacturing systems," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(6), pages 670-681, June.
  21. Syam, Siddhartha S. & Côté, Murray J., 2010. "A location-allocation model for service providers with application to not-for-profit health care organizations," Omega, Elsevier, vol. 38(3-4), pages 157-166, June.
  22. Peter Francis & Karen Smilowitz & Michal Tzur, 2006. "The Period Vehicle Routing Problem with Service Choice," Transportation Science, INFORMS, vol. 40(4), pages 439-454, November.
  23. Snyder, Lawrence V. & Daskin, Mark S. & Teo, Chung-Piaw, 2007. "The stochastic location model with risk pooling," European Journal of Operational Research, Elsevier, vol. 179(3), pages 1221-1238, June.
  24. Park, Moon-Won & Kim, Yeong-Dae, 2000. "A branch and bound algorithm for a production scheduling problem in an assembly system under due date constraints," European Journal of Operational Research, Elsevier, vol. 123(3), pages 504-518, June.
  25. Wong, H. & van Houtum, G.J. & Cattrysse, D. & Oudheusden, D. Van, 2006. "Multi-item spare parts systems with lateral transshipments and waiting time constraints," European Journal of Operational Research, Elsevier, vol. 171(3), pages 1071-1093, June.
  26. Xinyu Wu & Ruixiang Cheng & Chuntian Cheng, 2022. "A Simplified Solution Method for End-of-Term Storage Energy Maximization Model of Cascaded Reservoirs," Energies, MDPI, vol. 15(12), pages 1-18, June.
  27. Ali Diabat & Jean-Philippe Richard & Craig Codrington, 2013. "A Lagrangian relaxation approach to simultaneous strategic and tactical planning in supply chain design," Annals of Operations Research, Springer, vol. 203(1), pages 55-80, March.
  28. Li, Kunpeng & Chen, Bin & Sivakumar, Appa Iyer & Wu, Yong, 2014. "An inventory–routing problem with the objective of travel time minimization," European Journal of Operational Research, Elsevier, vol. 236(3), pages 936-945.
  29. G. Rius-Sorolla & J. Maheut & S. Estellés-Miguel & J. P. Garcia-Sabater, 2020. "Coordination mechanisms with mathematical programming models for decentralized decision-making: a literature review," 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. 28(1), pages 61-104, March.
  30. G. Rius-Sorolla & J. Maheut & Jairo R. Coronado-Hernandez & J. P. Garcia-Sabater, 2020. "Lagrangian relaxation of the generic materials and operations planning model," 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. 28(1), pages 105-123, March.
  31. De, Prabuddha & James Dunne, E. & Ghosh, Jay B. & Wells, Charles E., 1995. "The discrete time-cost tradeoff problem revisited," European Journal of Operational Research, Elsevier, vol. 81(2), pages 225-238, March.
  32. Kaiyue Zheng & Laura A. Albert, 2019. "Interdiction models for delaying adversarial attacks against critical information technology infrastructure," Naval Research Logistics (NRL), John Wiley & Sons, vol. 66(5), pages 411-429, August.
  33. S S Chauhan & J-M Proth & A M Sarmiento & R Nagi, 2006. "Opportunistic supply chain formation from qualified partners for a new market demand," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(9), pages 1089-1099, September.
  34. Raymond K. Cheung & Chung-Lun Li & Wuqin Lin, 2002. "Interblock Crane Deployment in Container Terminals," Transportation Science, INFORMS, vol. 36(1), pages 79-93, February.
  35. Rawls, Carmen G. & Turnquist, Mark A., 2010. "Pre-positioning of emergency supplies for disaster response," Transportation Research Part B: Methodological, Elsevier, vol. 44(4), pages 521-534, May.
  36. Ghadimi, Foad & Aouam, Tarik, 2021. "Planning capacity and safety stocks in a serial production–distribution system with multiple products," European Journal of Operational Research, Elsevier, vol. 289(2), pages 533-552.
  37. Mark S. Daskin, 2008. "What you should know about location modeling," Naval Research Logistics (NRL), John Wiley & Sons, vol. 55(4), pages 283-294, June.
  38. Haghani, Ali & Oh, Sei-Chang, 1996. "Formulation and solution of a multi-commodity, multi-modal network flow model for disaster relief operations," Transportation Research Part A: Policy and Practice, Elsevier, vol. 30(3), pages 231-250, May.
  39. Krzysztof C. Kiwiel & Torbjörn Larsson & P. O. Lindberg, 1999. "The Efficiency of Ballstep Subgradient Level Methods for Convex Optimization," Mathematics of Operations Research, INFORMS, vol. 24(1), pages 237-254, February.
  40. Ahmadi-Javid, Amir & Hoseinpour, Pooya, 2015. "A location-inventory-pricing model in a supply chain distribution network with price-sensitive demands and inventory-capacity constraints," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 82(C), pages 238-255.
  41. Ali Diabat & Jean-Philippe Richard, 2015. "An integrated supply chain problem: a nested lagrangian relaxation approach," Annals of Operations Research, Springer, vol. 229(1), pages 303-323, June.
  42. J. F. Chen & W. E. Wilhelm, 1994. "Optimizing the allocation of components to kits in small‐lot, multiechelon assembly systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 41(2), pages 229-256, March.
  43. Milind Dawande & Rakesh Gupta & Sanjeewa Naranpanawe & Chelliah Sriskandarajah, 2007. "A Traffic-Grooming Algorithm for Wavelength-Routed Optical Networks," INFORMS Journal on Computing, INFORMS, vol. 19(4), pages 565-574, November.
  44. El-Ghazali Talbi, 2016. "Combining metaheuristics with mathematical programming, constraint programming and machine learning," Annals of Operations Research, Springer, vol. 240(1), pages 171-215, May.
  45. Fanrui Xie & Tao Wu & Canrong Zhang, 2019. "A Branch-and-Price Algorithm for the Integrated Berth Allocation and Quay Crane Assignment Problem," Transportation Science, INFORMS, vol. 53(5), pages 1427-1454, September.
  46. Degraeve, Z. & Jans, R.F., 2003. "Improved Lower Bounds For The Capacitated Lot Sizing Problem With Set Up Times," ERIM Report Series Research in Management ERS-2003-026-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.
  47. Harris, Irina & Mumford, Christine L. & Naim, Mohamed M., 2014. "A hybrid multi-objective approach to capacitated facility location with flexible store allocation for green logistics modeling," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 66(C), pages 1-22.
  48. Quddus, Md Abdul & Shahvari, Omid & Marufuzzaman, Mohammad & Ekşioğlu, Sandra D. & Castillo-Villar, Krystel K., 2021. "Designing a reliable electric vehicle charging station expansion under uncertainty," International Journal of Production Economics, Elsevier, vol. 236(C).
  49. Steeger, Gregory & Rebennack, Steffen, 2017. "Dynamic convexification within nested Benders decomposition using Lagrangian relaxation: An application to the strategic bidding problem," European Journal of Operational Research, Elsevier, vol. 257(2), pages 669-686.
  50. Leyla Ozsen & Collette R. Coullard & Mark S. Daskin, 2008. "Capacitated warehouse location model with risk pooling," Naval Research Logistics (NRL), John Wiley & Sons, vol. 55(4), pages 295-312, June.
  51. E A Silver, 2004. "An overview of heuristic solution methods," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(9), pages 936-956, September.
  52. Michael A. Trick, 1992. "A linear relaxation heuristic for the generalized assignment problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(2), pages 137-151, March.
  53. Tanaka, Shunji & Uraguchi, Yukihiro & Araki, Mituhiko, 2005. "Dynamic optimization of the operation of single-car elevator systems with destination hall call registration: Part II. The solution algorithm," European Journal of Operational Research, Elsevier, vol. 167(2), pages 574-587, December.
  54. Anthony Papavasiliou & Shmuel S. Oren, 2013. "Multiarea Stochastic Unit Commitment for High Wind Penetration in a Transmission Constrained Network," Operations Research, INFORMS, vol. 61(3), pages 578-592, June.
  55. Foad Iravani & Sriram Dasu & Reza Ahmadi, 2012. "A Hierarchical Framework for Organizing a Software Development Process," Operations Research, INFORMS, vol. 60(6), pages 1310-1322, December.
  56. Mazzola, Joseph B. & Neebe, Alan W., 1999. "Lagrangian-relaxation-based solution procedures for a multiproduct capacitated facility location problem with choice of facility type," European Journal of Operational Research, Elsevier, vol. 115(2), pages 285-299, June.
  57. Rivi Sandhu & Diego Klabjan, 2007. "Integrated Airline Fleeting and Crew-Pairing Decisions," Operations Research, INFORMS, vol. 55(3), pages 439-456, June.
  58. 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.
  59. 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.
  60. Xiang Li & Asgeir Tomasgard & Paul I. Barton, 2011. "Nonconvex Generalized Benders Decomposition for Stochastic Separable Mixed-Integer Nonlinear Programs," Journal of Optimization Theory and Applications, Springer, vol. 151(3), pages 425-454, December.
  61. J. E. Beasley, 1990. "A lagrangian heuristic for set‐covering problems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 37(1), pages 151-164, February.
  62. Hamed Soleimani & Prem Chhetri & Amir M. Fathollahi-Fard & S. M. J. Mirzapour Al-e-Hashem & Shahrooz Shahparvari, 2022. "Sustainable closed-loop supply chain with energy efficiency: Lagrangian relaxation, reformulations and heuristics," Annals of Operations Research, Springer, vol. 318(1), pages 531-556, November.
  63. Ahmadi, Reza H. & Kouvelis, Panagiotis, 1999. "Design of electronic assembly lines: An analytical framework and its application," European Journal of Operational Research, Elsevier, vol. 115(1), pages 113-137, May.
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