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Deterministic Production Planning with Concave Costs and Capacity Constraints

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Cited by:

  1. François Vanderbeck, 1998. "Lot-Sizing with Start-Up Times," Management Science, INFORMS, vol. 44(10), pages 1409-1425, October.
  2. Joseph B. Mazzola & William F. McCoy & Harvey M. Wagner, 1987. "Algorithms and heuristics for variable‐yield lot sizing," Naval Research Logistics (NRL), John Wiley & Sons, vol. 34(1), pages 67-86, February.
  3. 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.
  4. Suzanne, Elodie & Absi, Nabil & Borodin, Valeria & van den Heuvel, Wilco, 2020. "A single-item lot-sizing problem with a by-product and inventory capacities," European Journal of Operational Research, Elsevier, vol. 287(3), pages 844-855.
  5. 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.
  6. Jinwen Ou, 2012. "Economic lot sizing with constant capacities and concave inventory costs," Naval Research Logistics (NRL), John Wiley & Sons, vol. 59(7), pages 497-501, October.
  7. 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.
  8. Bunn, Kevin A. & Ventura, José A., 2023. "A dynamic programming approach for the two-product capacitated lot-sizing problem with concave costs," European Journal of Operational Research, Elsevier, vol. 307(1), pages 116-129.
  9. Akbalik, Ayse & Rapine, Christophe, 2013. "The single item uncapacitated lot-sizing problem with time-dependent batch sizes: NP-hard and polynomial cases," European Journal of Operational Research, Elsevier, vol. 229(2), pages 353-363.
  10. Ou, Jinwen, 2017. "Improved exact algorithms to economic lot-sizing with piecewise linear production costs," European Journal of Operational Research, Elsevier, vol. 256(3), pages 777-784.
  11. 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.
  12. Liu, Guoli & Li, Feng & Yang, Xianyan & Qiu, Shuang, 2020. "The multi-stage multi-product batch-sizing problem in the steel industry," Applied Mathematics and Computation, Elsevier, vol. 369(C).
  13. Ming Zhao & Minjiao Zhang, 2020. "Multiechelon Lot Sizing: New Complexities and Inequalities," Operations Research, INFORMS, vol. 68(2), pages 534-551, March.
  14. 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.
  15. Li Chen & Hau L. Lee, 2012. "Bullwhip Effect Measurement and Its Implications," Operations Research, INFORMS, vol. 60(4), pages 771-784, August.
  16. Yasemin Merzifonluoğlu & Joseph Geunes & H.E. Romeijn, 2007. "Integrated capacity, demand, and production planning with subcontracting and overtime options," Naval Research Logistics (NRL), John Wiley & Sons, vol. 54(4), pages 433-447, June.
  17. 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.
  18. Wolsey, Laurence A., 1995. "Progress with single-item lot-sizing," European Journal of Operational Research, Elsevier, vol. 86(3), pages 395-401, November.
  19. Alper Atamtürk & Dorit S. Hochbaum, 2001. "Capacity Acquisition, Subcontracting, and Lot Sizing," Management Science, INFORMS, vol. 47(8), pages 1081-1100, August.
  20. 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.
  21. 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.
  22. 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.
  23. Shoshana Anily & Michal Tzur, 2006. "Algorithms for the multi‐item multi‐vehicles dynamic lot sizing problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 53(2), pages 157-169, March.
  24. 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.
  25. Escudero, L. F. & Galindo, E. & Garcia, G. & Gomez, E. & Sabau, V., 1999. "Schumann, a modeling framework for supply chain management under uncertainty," European Journal of Operational Research, Elsevier, vol. 119(1), pages 14-34, November.
  26. 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.
  27. F Altiparmak & I Karaoglan, 2008. "An adaptive tabu-simulated annealing for concave cost transportation problems," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(3), pages 331-341, March.
  28. Hellion, Bertrand & Mangione, Fabien & Penz, Bernard, 2012. "A polynomial time algorithm to solve the single-item capacitated lot sizing problem with minimum order quantities and concave costs," European Journal of Operational Research, Elsevier, vol. 222(1), pages 10-16.
  29. 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.
  30. 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.
  31. Ventura, José A. & Valdebenito, Victor A. & Golany, Boaz, 2013. "A dynamic inventory model with supplier selection in a serial supply chain structure," European Journal of Operational Research, Elsevier, vol. 230(2), pages 258-271.
  32. 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.
  33. 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.
  34. 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.
  35. Okhrin, Irena & Richter, Knut, 2011. "The linear dynamic lot size problem with minimum order quantity," International Journal of Production Economics, Elsevier, vol. 133(2), pages 688-693, October.
  36. Hwang, Hark-Chin & Jaruphongsa, Wikrom, 2008. "Dynamic lot-sizing model for major and minor demands," European Journal of Operational Research, Elsevier, vol. 184(2), pages 711-724, January.
  37. 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.
  38. Zeger Degraeve & Raf Jans, 2007. "A New Dantzig-Wolfe Reformulation and Branch-and-Price Algorithm for the Capacitated Lot-Sizing Problem with Setup Times," Operations Research, INFORMS, vol. 55(5), pages 909-920, October.
  39. 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.
  40. 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.
  41. Joseph Geunes & H. Edwin Romeijn & Kevin Taaffe, 2006. "Requirements Planning with Pricing and Order Selection Flexibility," Operations Research, INFORMS, vol. 54(2), pages 394-401, April.
  42. Kerem Akartunalı & Ioannis Fragkos & Andrew J. Miller & Tao Wu, 2016. "Local Cuts and Two-Period Convex Hull Closures for Big-Bucket Lot-Sizing Problems," INFORMS Journal on Computing, INFORMS, vol. 28(4), pages 766-780, November.
  43. 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.
  44. 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.
  45. 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.
  46. Yan, Shangyao & Luo, So-Chang, 1999. "Probabilistic local search algorithms for concave cost transportation network problems," European Journal of Operational Research, Elsevier, vol. 117(3), pages 511-521, September.
  47. Miller, Andrew J. & Nemhauser, George L. & Savelsbergh, Martin W. P., 2000. "On the capacitated lot-sizing and continuous 0-1 knapsack polyhedra," European Journal of Operational Research, Elsevier, vol. 125(2), pages 298-315, September.
  48. Hyun-soo Ahn & Mehmet Gümüş & Philip Kaminsky, 2007. "Pricing and Manufacturing Decisions When Demand Is a Function of Prices in Multiple Periods," Operations Research, INFORMS, vol. 55(6), pages 1039-1057, December.
  49. Chung‐Lun Li & Jinwen Ou & Vernon N. Hsu, 2012. "Dynamic lot sizing with all‐units discount and resales," Naval Research Logistics (NRL), John Wiley & Sons, vol. 59(3‐4), pages 230-243, April.
  50. Hark-Chin Hwang & Hyun-Soo Ahn & Philip Kaminsky, 2013. "Basis Paths and a Polynomial Algorithm for the Multistage Production-Capacitated Lot-Sizing Problem," Operations Research, INFORMS, vol. 61(2), pages 469-482, April.
  51. 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.
  52. Yevgenia Mikhaylidi & Hussein Naseraldin & Liron Yedidsion, 2015. "Operations scheduling under electricity time-varying prices," International Journal of Production Research, Taylor & Francis Journals, vol. 53(23), pages 7136-7157, December.
  53. Cortés, Pablo & Muñuzuri, Jesús & Guadix, José & Onieva, Luis, 2013. "Optimal algorithm for the demand routing problem in multicommodity flow distribution networks with diversification constraints and concave costs," International Journal of Production Economics, Elsevier, vol. 146(1), pages 313-324.
  54. Hark-Chin Hwang & Hyun-Soo Ahn & Philip Kaminsky, 2016. "Algorithms for the two-stage production-capacitated lot-sizing problem," Journal of Global Optimization, Springer, vol. 65(4), pages 777-799, August.
  55. 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.
  56. 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).
  57. Guan, Yongpei & Liu, Tieming, 2010. "Stochastic lot-sizing problem with inventory-bounds and constant order-capacities," European Journal of Operational Research, Elsevier, vol. 207(3), pages 1398-1409, December.
  58. Karla E. Bourland & Candace Arai Yano, 1996. "Lot sizing when yields increase during the production run," Naval Research Logistics (NRL), John Wiley & Sons, vol. 43(8), pages 1035-1047, December.
  59. 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.
  60. van Hoesel, C.P.M. & Wagelmans, A.P.M., 1997. "Fully Polynomial Approximation Schemes for Single-Item Capacitated Economic Lot-Sizing Problems," Econometric Institute Research Papers EI 9735/A, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
  61. 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.
  62. 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.
  63. 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).
  64. 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.
  65. 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.
  66. François V. Louveaux & Juan-José Salazar-González, 2016. "Solving the Single Vehicle Routing Problem with Variable Capacity," Transportation Science, INFORMS, vol. 50(2), pages 708-719, May.
  67. Bitran, Gabriel R. & Yanasse, Horacio H., 1981. "Computational complexity of the capacitated lot size problem," Working papers 1271-81., Massachusetts Institute of Technology (MIT), Sloan School of Management.
  68. Guinet, Alain, 2001. "Multi-site planning: A transshipment problem," International Journal of Production Economics, Elsevier, vol. 74(1-3), pages 21-32, December.
  69. Archetti, Claudia & Bertazzi, Luca & Grazia Speranza, M., 2014. "Polynomial cases of the economic lot sizing problem with cost discounts," European Journal of Operational Research, Elsevier, vol. 237(2), pages 519-527.
  70. Hwang, Hark-Chin & Kang, Jangha, 2016. "Two-phase algorithm for the lot-sizing problem with backlogging for stepwise transportation cost without speculative motives," Omega, Elsevier, vol. 59(PB), pages 238-250.
  71. 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.
  72. 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.
  73. Rademeyer, Maryke C. & Minnitt, Richard C.A. & Falcon, Rosemary M.S., 2018. "Revisiting operating cost in resource extraction industries," Resources Policy, Elsevier, vol. 58(C), pages 159-164.
  74. Ou, Jinwen & Feng, Jiejian, 2019. "Production lot-sizing with dynamic capacity adjustment," European Journal of Operational Research, Elsevier, vol. 272(1), pages 261-269.
  75. 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.
  76. Kevin Guo & Tim Leung & Brian Ward, 2019. "How to mine gold without digging," International Journal of Financial Engineering (IJFE), World Scientific Publishing Co. Pte. Ltd., vol. 6(01), pages 1-30, March.
  77. 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.
  78. van Hoesel, C.P.M. & Wagelmans, A., 1997. "Fully polynomial approximation schemes for single-item capacitated economic lot-sizing problems," Research Memorandum 029, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  79. Absi, Nabil & Dauzère-Pérès, Stéphane & Kedad-Sidhoum, Safia & Penz, Bernard & Rapine, Christophe, 2016. "The single-item green lot-sizing problem with fixed carbon emissions," European Journal of Operational Research, Elsevier, vol. 248(3), pages 849-855.
  80. Yongpei Guan, 2011. "Stochastic lot-sizing with backlogging: computational complexity analysis," Journal of Global Optimization, Springer, vol. 49(4), pages 651-678, April.
  81. 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.
  82. Shoshana Anily & Michal Tzur, 2005. "Shipping Multiple Items by Capacitated Vehicles: An Optimal Dynamic Programming Approach," Transportation Science, INFORMS, vol. 39(2), pages 233-248, May.
  83. Elhafsi, Mohsen, 2002. "A production planning model for an unreliable production facility: Case of finite horizon and single demand," European Journal of Operational Research, Elsevier, vol. 143(1), pages 94-114, November.
  84. 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).
  85. Kian, Ramez & Gürler, Ülkü & Berk, Emre, 2014. "The dynamic lot-sizing problem with convex economic production costs and setups," International Journal of Production Economics, Elsevier, vol. 155(C), pages 361-379.
  86. Shaw, D.X. & Wagelmans, A.P.M., 1995. "An Algorithm for Single-item Capacitated Economic Lot Sizing with Piecewise Linear Production Costs and General Holding Costs," Econometric Institute Research Papers EI 9526-/A, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
  87. 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.
  88. Weihua Zhang & Marc Reimann, 2014. "Towards a multi-objective performance assessment and optimization model of a two-echelon supply chain using SCOR metrics," 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. 22(4), pages 591-622, December.
  89. AkartunalI, Kerem & Miller, Andrew J., 2009. "A heuristic approach for big bucket multi-level production planning problems," European Journal of Operational Research, Elsevier, vol. 193(2), pages 396-411, March.
  90. Shiming Deng & Candace A. Yano, 2006. "Joint Production and Pricing Decisions with Setup Costs and Capacity Constraints," Management Science, INFORMS, vol. 52(5), pages 741-756, May.
  91. Hwang, Hark-Chin & Kang, Jangha, 2020. "The two-level lot-sizing problem with outbound shipment," Omega, Elsevier, vol. 90(C).
  92. Jans, Raf & Degraeve, Zeger, 2007. "Meta-heuristics for dynamic lot sizing: A review and comparison of solution approaches," European Journal of Operational Research, Elsevier, vol. 177(3), pages 1855-1875, March.
  93. Atamturk, Alper & Munoz, Juan Carlos, 2002. "A Study of the Lot-Sizing Polytope," University of California Transportation Center, Working Papers qt9gx170tx, University of California Transportation Center.
  94. Esra Koca & Hande Yaman & M. Selim Aktürk, 2014. "Lot Sizing with Piecewise Concave Production Costs," INFORMS Journal on Computing, INFORMS, vol. 26(4), pages 767-779, November.
  95. Brahimi, Nadjib & Dauzere-Peres, Stephane & Najid, Najib M. & Nordli, Atle, 2006. "Single item lot sizing problems," European Journal of Operational Research, Elsevier, vol. 168(1), pages 1-16, January.
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