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Computational Complexity of the Capacitated Lot Size Problem

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  1. Zhang, Zhe & Gong, Xue & Song, Xiaoling & Yin, Yong & Lev, Benjamin & Zhou, Xiaoyang, 2024. "An effective two phase heuristic for synchronized seru production scheduling and 3PL transportation problems," International Journal of Production Economics, Elsevier, vol. 268(C).
  2. Folarin B. Oyebolu & Jeroen Lidth de Jeude & Cyrus Siganporia & Suzanne S. Farid & Richard Allmendinger & Juergen Branke, 2017. "A new lot sizing and scheduling heuristic for multi-site biopharmaceutical production," Journal of Heuristics, Springer, vol. 23(4), pages 231-256, August.
  3. François Vanderbeck, 1998. "Lot-Sizing with Start-Up Times," Management Science, INFORMS, vol. 44(10), pages 1409-1425, October.
  4. Daniel Quadt & Heinrich Kuhn, 2009. "Capacitated lot‐sizing and scheduling with parallel machines, back‐orders, and setup carry‐over," Naval Research Logistics (NRL), John Wiley & Sons, vol. 56(4), pages 366-384, June.
  5. Bruno, Giuseppe & Genovese, Andrea & Piccolo, Carmela, 2014. "The capacitated Lot Sizing model: A powerful tool for logistics decision making," International Journal of Production Economics, Elsevier, vol. 155(C), pages 380-390.
  6. Minjiao Zhang & Simge Küçükyavuz & Saumya Goel, 2014. "A Branch-and-Cut Method for Dynamic Decision Making Under Joint Chance Constraints," Management Science, INFORMS, vol. 60(5), pages 1317-1333, May.
  7. Safer, Hershel M. & Orlin, James B., 1953-, 1995. "Fast approximation schemes for multi-criteria flow, knapsack, and scheduling problems," Working papers 3757-95., Massachusetts Institute of Technology (MIT), Sloan School of Management.
  8. Chubanov, Sergei & Kovalyov, Mikhail Y. & Pesch, Erwin, 2008. "A single-item economic lot-sizing problem with a non-uniform resource: Approximation," European Journal of Operational Research, Elsevier, vol. 189(3), pages 877-889, September.
  9. Sainathuni, Bhanuteja & Parikh, Pratik J. & Zhang, Xinhui & Kong, Nan, 2014. "The warehouse-inventory-transportation problem for supply chains," European Journal of Operational Research, Elsevier, vol. 237(2), pages 690-700.
  10. Ali Diabat & Claudia Archetti & Waleed Najy, 2021. "The Fixed-Partition Policy Inventory Routing Problem," Transportation Science, INFORMS, vol. 55(2), pages 353-370, March.
  11. Ng, C.T. & Kovalyov, Mikhail Y. & Cheng, T.C.E., 2010. "A simple FPTAS for a single-item capacitated economic lot-sizing problem with a monotone cost structure," European Journal of Operational Research, Elsevier, vol. 200(2), pages 621-624, January.
  12. Fink, Jiří & Hurink, Johann L., 2015. "Minimizing costs is easier than minimizing peaks when supplying the heat demand of a group of houses," European Journal of Operational Research, Elsevier, vol. 242(2), pages 644-650.
  13. Absi, Nabil & Kedad-Sidhoum, Safia, 2008. "The multi-item capacitated lot-sizing problem with setup times and shortage costs," European Journal of Operational Research, Elsevier, vol. 185(3), pages 1351-1374, March.
  14. J. F. F. Almeida & S. V. Conceição & L. R. Pinto & B. R. P. Oliveira & L. F. Rodrigues, 2022. "Optimal sales and operations planning for integrated steel industries," Annals of Operations Research, Springer, vol. 315(2), pages 773-790, August.
  15. VAN VYVE, Mathieu & WOLSEY, Laurence & YAMAN, Hande, 2012. "Relaxations for two-level multi-item lot-sizing problem," LIDAM Discussion Papers CORE 2012031, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  16. Önal, Mehmet & van den Heuvel, Wilco & Dereli, Meryem Merve & Albey, Erinç, 2023. "Economic lot sizing problem with tank scheduling," European Journal of Operational Research, Elsevier, vol. 308(1), pages 166-182.
  17. Ik Sun Lee, 2016. "Production and shipment policy under dynamic demand in the supply chain environments," International Journal of Applied Management Science, Inderscience Enterprises Ltd, vol. 8(1), pages 1-19.
  18. Ming Zhao & Minjiao Zhang, 2020. "Multiechelon Lot Sizing: New Complexities and Inequalities," Operations Research, INFORMS, vol. 68(2), pages 534-551, March.
  19. Sarker, Bhaba R. & Diponegoro, Ahmad, 2009. "Optimal production plans and shipment schedules in a supply-chain system with multiple suppliers and multiple buyers," European Journal of Operational Research, Elsevier, vol. 194(3), pages 753-773, May.
  20. Goisque, Guillaume & Rapine, Christophe, 2017. "An efficient algorithm for the 2-level capacitated lot-sizing problem with identical capacities at both levels," European Journal of Operational Research, Elsevier, vol. 261(3), pages 918-928.
  21. Berretta, Regina & Rodrigues, Luiz Fernando, 2004. "A memetic algorithm for a multistage capacitated lot-sizing problem," International Journal of Production Economics, Elsevier, vol. 87(1), pages 67-81, January.
  22. Petering, Matthew E.H. & Chen, Xi & Hsieh, Wen-Huan, 2019. "Inventory control with flexible demand: Cyclic case with multiple batch supply and demand processes," International Journal of Production Economics, Elsevier, vol. 212(C), pages 60-77.
  23. Rapine, Christophe & Goisque, Guillaume & Akbalik, Ayse, 2018. "Energy-aware lot sizing problem: Complexity analysis and exact algorithms," International Journal of Production Economics, Elsevier, vol. 203(C), pages 254-263.
  24. B Karimi & S M T Fatemi Ghomi & J M Wilson, 2006. "A tabu search heuristic for solving the CLSP with backlogging and set-up carry-over," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(2), pages 140-147, February.
  25. Alper Atamtürk & Dorit S. Hochbaum, 2001. "Capacity Acquisition, Subcontracting, and Lot Sizing," Management Science, INFORMS, vol. 47(8), pages 1081-1100, August.
  26. Ozdamar, Linet & Birbil, Sevket Ilker, 1998. "Hybrid heuristics for the capacitated lot sizing and loading problem with setup times and overtime decisions," European Journal of Operational Research, Elsevier, vol. 110(3), pages 525-547, November.
  27. Önal, Mehmet & Romeijn, H.Edwin & Sapra, Amar & van den Heuvel, Wilco, 2015. "The economic lot-sizing problem with perishable items and consumption order preference," European Journal of Operational Research, Elsevier, vol. 244(3), pages 881-891.
  28. Wei, Wenchao & Guimarães, Luis & Amorim, Pedro & Almada-Lobo, Bernardo, 2017. "Tactical production and distribution planning with dependency issues on the production process," Omega, Elsevier, vol. 67(C), pages 99-114.
  29. Masoumeh Mahdieh & Alistair Clark & Mehdi Bijari, 2018. "A novel flexible model for lot sizing and scheduling with non-triangular, period overlapping and carryover setups in different machine configurations," Flexible Services and Manufacturing Journal, Springer, vol. 30(4), pages 884-923, December.
  30. van den Heuvel, W.J. & Wagelmans, A.P.M., 2003. "A geometric algorithm to solve the NI/G/NI/ND capacitated lot-sizing problem in O(T2) time," Econometric Institute Research Papers EI 2003-24, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
  31. Stan van Hoesel & H. Edwin Romeijn & Dolores Romero Morales & Albert P. M. Wagelmans, 2005. "Integrated Lot Sizing in Serial Supply Chains with Production Capacities," Management Science, INFORMS, vol. 51(11), pages 1706-1719, November.
  32. Song, Yuyue & Chan, Gin Hor, 2005. "Single item lot-sizing problems with backlogging on a single machine at a finite production rate," European Journal of Operational Research, Elsevier, vol. 161(1), pages 191-202, February.
  33. Stan van Hoesel & H. Edwin Romeijn & Dolores Romero Morales & Albert P.M. Wagelmans, 2002. "Polynomial Time Algorithms for Some Multi-Level Lot-Sizing Problems with Production Capacities," Tinbergen Institute Discussion Papers 02-066/4, Tinbergen Institute.
  34. Pan, Zhendong & Tang, Jiafu & Liu, Ou, 2009. "Capacitated dynamic lot sizing problems in closed-loop supply chain," European Journal of Operational Research, Elsevier, vol. 198(3), pages 810-821, November.
  35. Karel H. van Donselaar & Vishal Gaur & Tom van Woensel & Rob A. C. M. Broekmeulen & Jan C. Fransoo, 2010. "Ordering Behavior in Retail Stores and Implications for Automated Replenishment," Management Science, INFORMS, vol. 56(5), pages 766-784, May.
  36. Francesco Gaglioppa & Lisa A. Miller & Saif Benjaafar, 2008. "Multitask and Multistage Production Planning and Scheduling for Process Industries," Operations Research, INFORMS, vol. 56(4), pages 1010-1025, August.
  37. Hark-Chin Hwang, 2010. "Economic Lot-Sizing for Integrated Production and Transportation," Operations Research, INFORMS, vol. 58(2), pages 428-444, April.
  38. Almeder, Christian & Klabjan, Diego & Traxler, Renate & Almada-Lobo, Bernardo, 2015. "Lead time considerations for the multi-level capacitated lot-sizing problem," European Journal of Operational Research, Elsevier, vol. 241(3), pages 727-738.
  39. Brahimi, Nadjib & Absi, Nabil & Dauzère-Pérès, Stéphane & Nordli, Atle, 2017. "Single-item dynamic lot-sizing problems: An updated survey," European Journal of Operational Research, Elsevier, vol. 263(3), pages 838-863.
  40. Laurence A. Wolsey, 2002. "Solving Multi-Item Lot-Sizing Problems with an MIP Solver Using Classification and Reformulation," Management Science, INFORMS, vol. 48(12), pages 1587-1602, December.
  41. Yongpei Guan & Andrew J. Miller, 2008. "Polynomial-Time Algorithms for Stochastic Uncapacitated Lot-Sizing Problems," Operations Research, INFORMS, vol. 56(5), pages 1172-1183, October.
  42. Aghezzaf, E.H. & Jamali, M.A. & Ait-Kadi, D., 2007. "An integrated production and preventive maintenance planning model," European Journal of Operational Research, Elsevier, vol. 181(2), pages 679-685, September.
  43. Simon Thevenin & Yossiri Adulyasak & Jean‐François Cordeau, 2021. "Material Requirements Planning Under Demand Uncertainty Using Stochastic Optimization," Production and Operations Management, Production and Operations Management Society, vol. 30(2), pages 475-493, February.
  44. Rizk, Nafee & Martel, Alain & Ramudhin, Amar, 2006. "A Lagrangean relaxation algorithm for multi-item lot-sizing problems with joint piecewise linear resource costs," International Journal of Production Economics, Elsevier, vol. 102(2), pages 344-357, August.
  45. 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.
  46. Abdolreza Roshani & Massimo Paolucci & Davide Giglio & Melissa Demartini & Flavio Tonelli & Maxim A. Dulebenets, 2023. "The capacitated lot-sizing and energy efficient single machine scheduling problem with sequence dependent setup times and costs in a closed-loop supply chain network," Annals of Operations Research, Springer, vol. 321(1), pages 469-505, February.
  47. Awi Federgruen & Joern Meissner & Michal Tzur, 2007. "Progressive Interval Heuristics for Multi-Item Capacitated Lot-Sizing Problems," Operations Research, INFORMS, vol. 55(3), pages 490-502, June.
  48. C. P. M. van Hoesel & A. P. M. Wagelmans, 2001. "Fully Polynomial Approximation Schemes for Single-Item Capacitated Economic Lot-Sizing Problems," Mathematics of Operations Research, INFORMS, vol. 26(2), pages 339-357, May.
  49. Mathieu Van Vyve, 2007. "Algorithms for Single-Item Lot-Sizing Problems with Constant Batch Size," Mathematics of Operations Research, INFORMS, vol. 32(3), pages 594-613, August.
  50. Jian Yang & Boaz Golany & Gang Yu, 2005. "A concave‐cost production planning problem with remanufacturing options," Naval Research Logistics (NRL), John Wiley & Sons, vol. 52(5), pages 443-458, August.
  51. Andrea Raiconi & Julia Pahl & Monica Gentili & Stefan Voß & Raffaele Cerulli, 2017. "Tactical Production and Lot Size Planning with Lifetime Constraints: A Comparison of Model Formulations," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 34(05), pages 1-24, October.
  52. Martel, Alain & Diaby, Moustapha & Boctor, Fayez, 1995. "Multiple items procurement under stochastic nonstationary demands," European Journal of Operational Research, Elsevier, vol. 87(1), pages 74-92, November.
  53. Li, Hongyan & Meissner, Joern, 2011. "Competition under capacitated dynamic lot-sizing with capacity acquisition," International Journal of Production Economics, Elsevier, vol. 131(2), pages 535-544, June.
  54. Zhang, Guoqing & Nishi, Tatsushi & Turner, Sarina D.O. & Oga, Keisuke & Li, Xindan, 2017. "An integrated strategy for a production planning and warehouse layout problem: Modeling and solution approaches," Omega, Elsevier, vol. 68(C), pages 85-94.
  55. Terzi, Mourad & Ouazene, Yassine & Yalaoui, Alice & Yalaoui, Farouk, 2023. "Lot-sizing and pricing decisions under attraction demand models and multi-channel environment: New efficient formulations," Operations Research Perspectives, Elsevier, vol. 10(C).
  56. Chung-Lun Li & Qingying Li, 2016. "Polynomial-Time Solvability of Dynamic Lot Size Problems," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 33(03), pages 1-20, June.
  57. Yilmaz, Dogacan & Büyüktahtakın, İ. Esra, 2024. "An expandable machine learning-optimization framework to sequential decision-making," European Journal of Operational Research, Elsevier, vol. 314(1), pages 280-296.
  58. Okhrin, Irena & Richter, Knut, 2011. "An O(T3) algorithm for the capacitated lot sizing problem with minimum order quantities," European Journal of Operational Research, Elsevier, vol. 211(3), pages 507-514, June.
  59. Karimi, B. & Fatemi Ghomi, S. M. T. & Wilson, J. M., 2003. "The capacitated lot sizing problem: a review of models and algorithms," Omega, Elsevier, vol. 31(5), pages 365-378, October.
  60. E Aghezzaf, 2005. "Capacity planning and warehouse location in supply chains with uncertain demands," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(4), pages 453-462, April.
  61. Ozdamar, Linet & Birbil, Sevket Ilker, 1999. "A hierarchical planning system for energy intensive production environments," International Journal of Production Economics, Elsevier, vol. 58(2), pages 115-129, January.
  62. Hartmut Stadtler & Malte Meistering, 2019. "Model formulations for the capacitated lot-sizing problem with service-level constraints," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 41(4), pages 1025-1056, December.
  63. Rowshannahad, Mehdi & Absi, Nabil & Dauzère-Pérès, Stéphane & Cassini, Bernard, 2018. "Multi-item bi-level supply chain planning with multiple remanufacturing of reusable by-products," International Journal of Production Economics, Elsevier, vol. 198(C), pages 25-37.
  64. Hong, Zhaofu & Chu, Chengbin & Yu, Yugang, 2016. "Dual-mode production planning for manufacturing with emission constraints," European Journal of Operational Research, Elsevier, vol. 251(1), pages 96-106.
  65. Drexl, Andreas & Kimms, Alf, 1996. "Lot sizing and scheduling: Survey and extensions," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 421, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
  66. Hoesel C.P.M. van & Wagelmans A.P.M., 1997. "Fully polynomial approximation schemes for single-item capacitated economic lot-sizing problems," Research Memorandum 014, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  67. Hark-Chin Hwang, 2009. "Inventory Replenishment and Inbound Shipment Scheduling Under a Minimum Replenishment Policy," Transportation Science, INFORMS, vol. 43(2), pages 244-264, May.
  68. Drexl, A. & Kimms, A., 1997. "Lot sizing and scheduling -- Survey and extensions," European Journal of Operational Research, Elsevier, vol. 99(2), pages 221-235, June.
  69. Zhang, Zhi-Hai & Jiang, Hai & Pan, Xunzhang, 2012. "A Lagrangian relaxation based approach for the capacitated lot sizing problem in closed-loop supply chain," International Journal of Production Economics, Elsevier, vol. 140(1), pages 249-255.
  70. Hnaien, Faicel & Afsar, Hasan Murat, 2017. "Robust single-item lot-sizing problems with discrete-scenario lead time," International Journal of Production Economics, Elsevier, vol. 185(C), pages 223-229.
  71. Li, Jianxiang & Chu, Feng & Chen, Haoxun, 2011. "A solution approach to the inventory routing problem in a three-level distribution system," European Journal of Operational Research, Elsevier, vol. 210(3), pages 736-744, May.
  72. Ayse Akbalik & Bernard Penz & Christophe Rapine, 2015. "Capacitated lot sizing problems with inventory bounds," Annals of Operations Research, Springer, vol. 229(1), pages 1-18, June.
  73. H. Edwin Romeijn & Dolores Romero Morales & Wilco Van den Heuvel, 2014. "Computational complexity of finding Pareto efficient outcomes for biobjective lot‐sizing models," Naval Research Logistics (NRL), John Wiley & Sons, vol. 61(5), pages 386-402, August.
  74. van Hoesel, S. & Romeijn, H.E. & Romero Morales, D. & Wagelmans, A.P.M., 2002. "Polynomial Time Algorithms For Some Multi-Level Lot-Sizing Problems With Production Capacities," ERIM Report Series Research in Management ERS-2002-59-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.
  75. Marcos Mansano Furlan & Maristela Oliveira Santos, 2017. "BFO: a hybrid bees algorithm for the multi-level capacitated lot-sizing problem," Journal of Intelligent Manufacturing, Springer, vol. 28(4), pages 929-944, April.
  76. Haugen, Kjetil K. & Olstad, Asmund & Pettersen, Bard I., 2007. "The profit maximizing capacitated lot-size (PCLSP) problem," European Journal of Operational Research, Elsevier, vol. 176(1), pages 165-176, January.
  77. van Hoesel, C.P.M. & Wagelmans, A., 1995. "An O ( T ³) algorithm for the economic lot-sizing problem with constant capacities," Research Memorandum 005, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  78. Jing Wu & Dan Zhang & Yang Yang & Gongshu Wang & Lijie Su, 2022. "Multi-Stage Multi-Product Production and Inventory Planning for Cold Rolling under Random Yield," Mathematics, MDPI, vol. 10(4), pages 1-21, February.
  79. Berk, Emre & Toy, Ayhan Ozgur & Hazir, Oncu, 2008. "Single item lot-sizing problem for a warm/cold process with immediate lost sales," European Journal of Operational Research, Elsevier, vol. 187(3), pages 1251-1267, June.
  80. Atamturk, Alper & Munoz, Juan Carlos, 2002. "A Study of the Lot-Sizing Polytope," University of California Transportation Center, Working Papers qt6zz2g0z4, University of California Transportation Center.
  81. Dogacan Yilmaz & İ. Esra Büyüktahtakın, 2023. "Learning Optimal Solutions via an LSTM-Optimization Framework," SN Operations Research Forum, Springer, vol. 4(2), pages 1-40, June.
  82. Farhat, Mlouka & Akbalik, Ayse & Hadj-Alouane, Atidel B. & Sauer, Nathalie, 2019. "Lot sizing problem with batch ordering under periodic buyback contract and lost sales," International Journal of Production Economics, Elsevier, vol. 208(C), pages 500-511.
  83. Weidenhiller, Andreas & Jodlbauer, Herbert, 2009. "Equivalence classes of problem instances for a continuous-time lot sizing and scheduling problem," European Journal of Operational Research, Elsevier, vol. 199(1), pages 139-149, November.
  84. Mocquillon, Cédric & Lenté, Christophe & T'Kindt, Vincent, 2011. "An efficient heuristic for medium-term planning in shampoo production," International Journal of Production Economics, Elsevier, vol. 129(1), pages 178-185, January.
  85. Herbon, Avi & Levner, Eugene & Cheng, T.C.E., 2014. "Perishable inventory management with dynamic pricing using time–temperature indicators linked to automatic detecting devices," International Journal of Production Economics, Elsevier, vol. 147(PC), pages 605-613.
  86. I. Karakayali & E. Akçalı & S. Çetinkaya & H. Üster, 2013. "Capacitated replenishment and disposal planning for multiple products with resalable returns," Annals of Operations Research, Springer, vol. 203(1), pages 325-350, March.
  87. Akbalik, Ayse & Hadj-Alouane, Atidel B. & Sauer, Nathalie & Ghribi, Houcem, 2017. "NP-hard and polynomial cases for the single-item lot sizing problem with batch ordering under capacity reservation contract," European Journal of Operational Research, Elsevier, vol. 257(2), pages 483-493.
  88. Ozdamar, Linet & Barbarosoglu, Gulay, 2000. "An integrated Lagrangean relaxation-simulated annealing approach to the multi-level multi-item capacitated lot sizing problem," International Journal of Production Economics, Elsevier, vol. 68(3), pages 319-331, December.
  89. Lee, Younsoo & Lee, Kyungsik, 2023. "Valid inequalities and extended formulations for lot-sizing and scheduling problem with sequence-dependent setups," European Journal of Operational Research, Elsevier, vol. 310(1), pages 201-216.
  90. Chung‐Yee Lee & Xi Li & Mingzhu Yu, 2015. "The loss‐averse newsvendor problem with supply options," Naval Research Logistics (NRL), John Wiley & Sons, vol. 62(1), pages 46-59, February.
  91. Aghezzaf, El-Houssaine, 2007. "Production planning and warehouse management in supply networks with inter-facility mold transfers," European Journal of Operational Research, Elsevier, vol. 182(3), pages 1122-1139, November.
  92. Vernon Ning Hsu, 2000. "Dynamic Economic Lot Size Model with Perishable Inventory," Management Science, INFORMS, vol. 46(8), pages 1159-1169, August.
  93. Dziuba, Daryna & Almeder, Christian, 2023. "New construction heuristic for capacitated lot sizing problems," European Journal of Operational Research, Elsevier, vol. 311(3), pages 906-920.
  94. Raa, Birger & Dullaert, Wout & Aghezzaf, El-Houssaine, 2013. "A matheuristic for aggregate production–distribution planning with mould sharing," International Journal of Production Economics, Elsevier, vol. 145(1), pages 29-37.
  95. Lukac, Zrinka & Soric, Kristina & Rosenzweig, Visnja Vojvodic, 2008. "Production planning problem with sequence dependent setups as a bilevel programming problem," European Journal of Operational Research, Elsevier, vol. 187(3), pages 1504-1512, June.
  96. Eksioglu, Sandra Duni, 2009. "A primal-dual algorithm for the economic lot-sizing problem with multi-mode replenishment," European Journal of Operational Research, Elsevier, vol. 197(1), pages 93-101, August.
  97. Ferreira, Deisemara & Morabito, Reinaldo & Rangel, Socorro, 2009. "Solution approaches for the soft drink integrated production lot sizing and scheduling problem," European Journal of Operational Research, Elsevier, vol. 196(2), pages 697-706, July.
  98. Kerem Akartunalı & Andrew Miller, 2012. "A computational analysis of lower bounds for big bucket production planning problems," Computational Optimization and Applications, Springer, vol. 53(3), pages 729-753, December.
  99. Nadjib Brahimi & Stéphane Dauzère-Pérès & Najib M. Najid, 2006. "Capacitated Multi-Item Lot-Sizing Problems with Time Windows," Operations Research, INFORMS, vol. 54(5), pages 951-967, October.
  100. Ahmed, Shabbir & Sahinidis, Nikolaos V., 2008. "Selection, acquisition, and allocation of manufacturing technology in a multi-period environment," European Journal of Operational Research, Elsevier, vol. 189(3), pages 807-821, September.
  101. Rapine, Christophe & Penz, Bernard & Gicquel, Céline & Akbalik, Ayse, 2018. "Capacity acquisition for the single-item lot sizing problem under energy constraints," Omega, Elsevier, vol. 81(C), pages 112-122.
  102. Slama, Ilhem & Ben-Ammar, Oussama & Thevenin, Simon & Dolgui, Alexandre & Masmoudi, Faouzi, 2022. "Stochastic program for disassembly lot-sizing under uncertain component refurbishing lead times," European Journal of Operational Research, Elsevier, vol. 303(3), pages 1183-1198.
  103. Jean-Philippe Gayon & Guillaume Massonnet & Christophe Rapine & Gautier Stauffer, 2017. "Fast Approximation Algorithms for the One-Warehouse Multi-Retailer Problem Under General Cost Structures and Capacity Constraints," Mathematics of Operations Research, INFORMS, vol. 42(3), pages 854-875, August.
  104. Taş, Duygu & Gendreau, Michel & Jabali, Ola & Jans, Raf, 2019. "A capacitated lot sizing problem with stochastic setup times and overtime," European Journal of Operational Research, Elsevier, vol. 273(1), pages 146-159.
  105. Yongpei Guan, 2011. "Stochastic lot-sizing with backlogging: computational complexity analysis," Journal of Global Optimization, Springer, vol. 49(4), pages 651-678, April.
  106. Liu, X. & Tu, Yl., 2008. "Production planning with limited inventory capacity and allowed stockout," International Journal of Production Economics, Elsevier, vol. 111(1), pages 180-191, January.
  107. Stadtler, Hartmut, 1996. "Mixed integer programming model formulations for dynamic multi-item multi-level capacitated lotsizing," European Journal of Operational Research, Elsevier, vol. 94(3), pages 561-581, November.
  108. van Hoesel, C.P.M. & Romeijn, H.E. & Romero Morales, M.D. & Wagelmans, A., 2002. "Polynomial time algorithms for some multi-level lot-sizing problems with production capacities," Research Memorandum 018, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  109. Rezaei, Jafar & Davoodi, Mansoor, 2011. "Multi-objective models for lot-sizing with supplier selection," International Journal of Production Economics, Elsevier, vol. 130(1), pages 77-86, March.
  110. Hark-Chin Hwang & Wilco van den Heuvel & Albert P. M. Wagelmans, 2023. "Multilevel Lot-Sizing with Inventory Bounds," INFORMS Journal on Computing, INFORMS, vol. 35(6), pages 1470-1490, November.
  111. Palak, Gökçe & Ekşioğlu, Sandra Duni & Geunes, Joseph, 2014. "Analyzing the impacts of carbon regulatory mechanisms on supplier and mode selection decisions: An application to a biofuel supply chain," International Journal of Production Economics, Elsevier, vol. 154(C), pages 198-216.
  112. Leonardo Lozano & J. Cole Smith, 2017. "A Backward Sampling Framework for Interdiction Problems with Fortification," INFORMS Journal on Computing, INFORMS, vol. 29(1), pages 123-139, February.
  113. Ferreira, Deisemara & Clark, Alistair R. & Almada-Lobo, Bernardo & Morabito, Reinaldo, 2012. "Single-stage formulations for synchronised two-stage lot sizing and scheduling in soft drink production," International Journal of Production Economics, Elsevier, vol. 136(2), pages 255-265.
  114. João Flávio de Freitas Almeida & Samuel Vieira Conceição & Luiz Ricardo Pinto & Ricardo Saraiva de Camargo & Gilberto de Miranda Júnior, 2018. "Flexibility evaluation of multiechelon supply chains," PLOS ONE, Public Library of Science, vol. 13(3), pages 1-27, March.
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