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Mathematical Programming Approaches to Capacity-Constrained MRP Systems: Review, Formulation and Problem Reduction

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Cited by:

  1. Elena Katok & Dennis Ott, 2000. "Using Mixed-Integer Programming to Reduce Label Changes in the Coors Aluminum Can Plant," Interfaces, INFORMS, vol. 30(2), pages 1-12, April.
  2. 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.
  3. Kim, Bokang & Kim, Sooyoung, 2001. "Extended model for a hybrid production planning approach," International Journal of Production Economics, Elsevier, vol. 73(2), pages 165-173, September.
  4. Fandel, Gunter & Stammen-Hegene, Cathrin, 2006. "Simultaneous lot sizing and scheduling for multi-product multi-level production," International Journal of Production Economics, Elsevier, vol. 104(2), pages 308-316, December.
  5. Wu, Tao & Shi, Leyuan & Geunes, Joseph & AkartunalI, Kerem, 2011. "An optimization framework for solving capacitated multi-level lot-sizing problems with backlogging," European Journal of Operational Research, Elsevier, vol. 214(2), pages 428-441, October.
  6. N.C. Simpson & S. Selcuk Erenguc, 2005. "Modeling multiple stage manufacturing systems with generalized costs and capacity issues," Naval Research Logistics (NRL), John Wiley & Sons, vol. 52(6), pages 560-570, September.
  7. Hartmut Stadtler, 2003. "Multilevel Lot Sizing with Setup Times and Multiple Constrained Resources: Internally Rolling Schedules with Lot-Sizing Windows," Operations Research, INFORMS, vol. 51(3), pages 487-502, June.
  8. 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.
  9. Haeussler, Stefan & Stefan, Matthias & Schneckenreither, Manuel & Onay, Anita, 2021. "The lead time updating trap: Analyzing human behavior in capacitated supply chains," International Journal of Production Economics, Elsevier, vol. 234(C).
  10. Mula, J. & Poler, R. & Garcia-Sabater, J.P. & Lario, F.C., 2006. "Models for production planning under uncertainty: A review," International Journal of Production Economics, Elsevier, vol. 103(1), pages 271-285, September.
  11. Beraudy, Sébastien & Absi, Nabil & Dauzère-Pérès, Stéphane, 2022. "Timed route approaches for large multi-product multi-step capacitated production planning problems," European Journal of Operational Research, Elsevier, vol. 300(2), pages 602-614.
  12. Erenguc, S. Selcuk & Simpson, N. C. & Vakharia, Asoo J., 1999. "Integrated production/distribution planning in supply chains: An invited review," European Journal of Operational Research, Elsevier, vol. 115(2), pages 219-236, June.
  13. Debels, D. & Vanhoucke, M., 2006. "A finite capacity production scheduling procedure for a belgian steel company," Vlerick Leuven Gent Management School Working Paper Series 2006-41, Vlerick Leuven Gent Management School.
  14. Segerstedt, Anders, 1996. "Formulas of MRP," International Journal of Production Economics, Elsevier, vol. 46(1), pages 127-136, December.
  15. Chen, Haoxun, 2015. "Fix-and-optimize and variable neighborhood search approaches for multi-level capacitated lot sizing problems," Omega, Elsevier, vol. 56(C), pages 25-36.
  16. 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.
  17. Tao Wu & Leyuan Shi & Joseph Geunes & Kerem Akartunalı, 2012. "On the equivalence of strong formulations for capacitated multi-level lot sizing problems with setup times," Journal of Global Optimization, Springer, vol. 53(4), pages 615-639, August.
  18. 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.
  19. Chen, Kejia & Ji, Ping, 2007. "A mixed integer programming model for advanced planning and scheduling (APS)," European Journal of Operational Research, Elsevier, vol. 181(1), pages 515-522, August.
  20. Germán Herrera Vidal & Danilo Abril Hernandez & Edgar Fernando Eslava & Jairo R. Coronado-Hernández & Samir F. Umaña Ibáñez, 2024. "Mathematical modelling of purchasing optimization for an MRP system with containerization constraints," OPSEARCH, Springer;Operational Research Society of India, vol. 61(3), pages 1108-1130, September.
  21. Wei, Mingyuan & Qi, Mingyao & Wu, Tao & Zhang, Canrong, 2019. "Distance and matching-induced search algorithm for the multi-level lot-sizing problem with substitutable bill of materials," European Journal of Operational Research, Elsevier, vol. 277(2), pages 521-541.
  22. dos Santos-Meza, Elisangela & Oliveira dos Santos, Maristela & Nereu Arenales, Marcos, 2002. "A lot-sizing problem in an automated foundry," European Journal of Operational Research, Elsevier, vol. 139(3), pages 490-500, June.
  23. Byrne, M. D. & Bakir, M. A., 1999. "Production planning using a hybrid simulation - analytical approach," International Journal of Production Economics, Elsevier, vol. 59(1-3), pages 305-311, March.
  24. Markus Mickein & Matthes Koch & Knut Haase, 2022. "A Decision Support System for Brewery Production Planning at Feldschlösschen," Interfaces, INFORMS, vol. 52(2), pages 158-172, March.
  25. 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.
  26. Segerstedt, Anders, 1996. "A capacity-constrained multi-level inventory and production control problem," International Journal of Production Economics, Elsevier, vol. 45(1-3), pages 449-461, August.
  27. Manuel Díaz-Madroñero & Josefa Mula & Mariano Jiménez & David Peidro, 2017. "A rolling horizon approach for material requirement planning under fuzzy lead times," International Journal of Production Research, Taylor & Francis Journals, vol. 55(8), pages 2197-2211, April.
  28. Selcuk, B. & Fransoo, J.C. & De Kok, A.G., 2006. "The effect of updating lead times on the performance of hierarchical planning systems," International Journal of Production Economics, Elsevier, vol. 104(2), pages 427-440, December.
  29. 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.
  30. Tao Wu, 2022. "Predictive Search for Capacitated Multi-Item Lot Sizing Problems," INFORMS Journal on Computing, INFORMS, vol. 34(1), pages 385-406, January.
  31. J. Drechsel & A. Kimms, 2010. "The subcoalition-perfect core of cooperative games," Annals of Operations Research, Springer, vol. 181(1), pages 591-601, December.
  32. Spitter, J. M. & Hurkens, C. A. J. & de Kok, A. G. & Lenstra, J. K. & Negenman, E. G., 2005. "Linear programming models with planned lead times for supply chain operations planning," European Journal of Operational Research, Elsevier, vol. 163(3), pages 706-720, June.
  33. Milne, R. John & Mahapatra, Santosh & Wang, Chi-Tai, 2015. "Optimizing planned lead times for enhancing performance of MRP systems," International Journal of Production Economics, Elsevier, vol. 167(C), pages 220-231.
  34. 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.
  35. Nusrat T. Chowdhury & Mohammed F. Baki & Ahmed Azab, 2024. "A Modeling and Hybridized Decomposition Approach for the Multi-level Capacitated Lot-Sizing Problem with Setup Carryover, Backlogging, and Emission Control," SN Operations Research Forum, Springer, vol. 5(3), pages 1-32, September.
  36. Rom, Walter O. & Tukel, Oya Icmeli & Muscatello, Joseph R., 2002. "MRP in a job shop environment using a resource constrained project scheduling model," Omega, Elsevier, vol. 30(4), pages 275-286, August.
  37. 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.
  38. 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.
  39. Elena Katok & Holly S. Lewis & Terry P. Harrison, 1998. "Lot Sizing in General Assembly Systems with Setup Costs, Setup Times, and Multiple Constrained Resources," Management Science, INFORMS, vol. 44(6), pages 859-877, June.
  40. Comelli, Mickael & Féniès, Pierre & Tchernev, Nikolay, 2008. "A combined financial and physical flows evaluation for logistic process and tactical production planning: Application in a company supply chain," International Journal of Production Economics, Elsevier, vol. 112(1), pages 77-95, March.
  41. Tao Wu & Leyuan Shi & Jie Song, 2012. "An MIP-based interval heuristic for the capacitated multi-level lot-sizing problem with setup times," Annals of Operations Research, Springer, vol. 196(1), pages 635-650, July.
  42. 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.
  43. G. Rius-Sorolla & J. Maheut & S. Estellés-Miguel & J. P. García-Sabater, 2021. "Operations planning test bed under rolling horizons, multiproduct, multiechelon, multiprocess for capacitated production planning modelling with strokes," 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(4), pages 1289-1315, December.
  44. Tian, Feng & Willems, Sean P. & Kempf, Karl G., 2011. "An iterative approach to item-level tactical production and inventory planning," International Journal of Production Economics, Elsevier, vol. 133(1), pages 439-450, September.
  45. Huang, Hai-Jun & Xu, Gang, 1998. "Aggregate scheduling and network solving of multi-stage and multi-item manufacturing systems," European Journal of Operational Research, Elsevier, vol. 105(1), pages 52-65, February.
  46. Chu, Sydney C. K., 1995. "A mathematical programming approach towards optimized master production scheduling," International Journal of Production Economics, Elsevier, vol. 38(2-3), pages 269-279, March.
  47. Drexl, Andreas & Fleischmann, B. & Günther, H.-O. & Stadtler, H. & Tempelmeier, H., 1993. "Konzeptionelle Grundlagen kapazitätsorientierter PPS-Systeme," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 315, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
  48. Dellaert, N. P. & Jeunet, J., 2003. "Randomized multi-level lot-sizing heuristics for general product structures," European Journal of Operational Research, Elsevier, vol. 148(1), pages 211-228, July.
  49. Drexl, Andreas & Haase, Knut, 1992. "A new type of model for multi-item capacitated dynamic lotsizing and scheduling," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 286, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
  50. Grubbstrom, Robert W., 1995. "Modelling production opportunities -- an historical overview," International Journal of Production Economics, Elsevier, vol. 41(1-3), pages 1-14, October.
  51. Kimms, Alf & Drexl, Andreas, 1996. "Multi-level lot sizing: A literature survey," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 405, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
  52. 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.
  53. Jian, Ming & Fang, Xin & Jin, Liu-qian & Rajapov, Azamat, 2015. "The impact of lead time compression on demand forecasting risk and production cost: A newsvendor model," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 84(C), pages 61-72.
  54. Chakravarty, Amiya K. & Balakrishnan, Nagraj, 1998. "Reacting in real-time to production contingencies in a capacitated flexible cell," European Journal of Operational Research, Elsevier, vol. 110(1), pages 1-19, October.
  55. Phillip O. Kriett & Sebastian Eirich & Martin Grunow, 2017. "Cycle time-oriented mid-term production planning for semiconductor wafer fabrication," International Journal of Production Research, Taylor & Francis Journals, vol. 55(16), pages 4662-4679, August.
  56. 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.
  57. Helber, Stefan & Sahling, Florian, 2010. "A fix-and-optimize approach for the multi-level capacitated lot sizing problem," International Journal of Production Economics, Elsevier, vol. 123(2), pages 247-256, February.
  58. Kolisch, R., 2000. "Integration of assembly and fabrication for make-to-order production," International Journal of Production Economics, Elsevier, vol. 68(3), pages 287-306, December.
  59. Ishii, Kazuyoshi & Imori, Shigeki, 1996. "A production ordering system for two-item, two-stage, capacity-constraint production and inventory model," International Journal of Production Economics, Elsevier, vol. 44(1-2), pages 119-128, June.
  60. Joachim Arts & Simme Flapper, 2015. "Aggregate overhaul and supply chain planning for rotables," Annals of Operations Research, Springer, vol. 224(1), pages 77-100, January.
  61. Sampath Rajagopalan & Jayashankar M. Swaminathan, 2001. "A Coordinated Production Planning Model with Capacity Expansion and Inventory Management," Management Science, INFORMS, vol. 47(11), pages 1562-1580, November.
  62. Fumero, Francesca & Vercellis, Carlo, 1997. "Integrating distribution, machine assignment and lot-sizing via Lagrangean relaxation," International Journal of Production Economics, Elsevier, vol. 49(1), pages 45-54, March.
  63. Uday Venkatadri & Shentao Wang & Ashok Srinivasan, 2021. "A Model for Demand Planning in Supply Chains with Congestion Effects," Logistics, MDPI, vol. 5(1), pages 1-24, January.
  64. Julia Pahl & Stefan Voß & David Woodruff, 2007. "Production planning with load dependent lead times: an update of research," Annals of Operations Research, Springer, vol. 153(1), pages 297-345, September.
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