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A Lagrangean-Based Heuristic for Dynamic Multilevel Multiitem Constrained Lotsizing with Setup Times

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Cited by:

  1. Christopher Suerie & Hartmut Stadtler, 2003. "The Capacitated Lot-Sizing Problem with Linked Lot Sizes," Management Science, INFORMS, vol. 49(8), pages 1039-1054, August.
  2. 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.
  3. 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.
  4. 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.
  5. BELVAUX, Gaetan & WOLSEY, Laurence A., 2000. "Modelling practical lot-sizing problems as mixed integer programs," LIDAM Discussion Papers CORE 2000009, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  6. Wolosewicz, Cathy & Dauzère-Pérès, Stéphane & Aggoune, Riad, 2015. "A Lagrangian heuristic for an integrated lot-sizing and fixed scheduling problem," European Journal of Operational Research, Elsevier, vol. 244(1), pages 3-12.
  7. 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.
  8. Sereshti, Narges & Adulyasak, Yossiri & Jans, Raf, 2024. "Managing flexibility in stochastic multi-level lot sizing problem with service level constraints," Omega, Elsevier, vol. 122(C).
  9. Okhrin, Irena & Richter, Knut, 2010. "The linear dynamic lot size problem with minimum order quantities," Discussion Papers 283, European University Viadrina Frankfurt (Oder), Department of Business Administration and Economics.
  10. 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.
  11. Chang Fang & Xinbao Liu & Panos M. Pardalos & Jianyu Long & Jun Pei & Chao Zuo, 2017. "A stochastic production planning problem in hybrid manufacturing and remanufacturing systems with resource capacity planning," Journal of Global Optimization, Springer, vol. 68(4), pages 851-878, August.
  12. 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.
  13. 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.
  14. 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.
  15. Schmid, Verena & Doerner, Karl F. & Laporte, Gilbert, 2013. "Rich routing problems arising in supply chain management," European Journal of Operational Research, Elsevier, vol. 224(3), pages 435-448.
  16. Hadi Farhangi, 2021. "Multi-Echelon Supply Chains with Lead Times and Uncertain Demands," SN Operations Research Forum, Springer, vol. 2(3), pages 1-25, September.
  17. 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.
  18. Castelli, Lorenzo & Pesenti, Raffaele & Ukovich, Walter, 2004. "Scheduling multimodal transportation systems," European Journal of Operational Research, Elsevier, vol. 155(3), pages 603-615, June.
  19. A. Kimms, 1997. "Demand shuffle—A method for multilevel proportional lot sizing and scheduling," Naval Research Logistics (NRL), John Wiley & Sons, vol. 44(4), pages 319-340, June.
  20. 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.
  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. Meixell, Mary J., 2005. "The impact of setup costs, commonality, and capacity on schedule stability: An exploratory study," International Journal of Production Economics, Elsevier, vol. 95(1), pages 95-107, January.
  23. Drexl, Andreas & Jordan, Carsten & Kimms, Alf, 1997. "Gruppierungs- und Reihenfolgeprobleme in der Fertigung," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 447, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
  24. Simon Thevenin & Yossiri Adulyasak & Jean-François Cordeau, 2022. "Stochastic Dual Dynamic Programming for Multiechelon Lot Sizing with Component Substitution," INFORMS Journal on Computing, INFORMS, vol. 34(6), pages 3151-3169, November.
  25. 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.
  26. Gaetan Belvaux & Laurence A. Wolsey, 2001. "Modelling Practical Lot-Sizing Problems as Mixed-Integer Programs," Management Science, INFORMS, vol. 47(7), pages 993-1007, July.
  27. Kimms, Alf, 1996. "Improved lower bounds for the proportional lot sizing and scheduling problem," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 414, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
  28. Hein, Fanny & Almeder, Christian, 2016. "Quantitative insights into the integrated supply vehicle routing and production planning problem," International Journal of Production Economics, Elsevier, vol. 177(C), pages 66-76.
  29. 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.
  30. 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.
  31. Willy A. Oliveira Soler & Maristela O. Santos & Kerem Akartunalı, 2025. "Lagrangian-based heuristics for production planning with perishable products, scarce resources, and sequence-dependent setup times," Journal of Heuristics, Springer, vol. 31(1), pages 1-35, March.
  32. 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.
  33. 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.
  34. 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.
  35. 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.
  36. 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.
  37. Kimms, Alf & Drexl, Andreas, 1996. "Some insights into proportional lot sizing and scheduling," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 406, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
  38. Dudek, Gregor & Stadtler, Hartmut, 2005. "Negotiation-based collaborative planning between supply chains partners," European Journal of Operational Research, Elsevier, vol. 163(3), pages 668-687, June.
  39. VAN VYVE, Mathieu & POCHET, Yves, 2001. "A general heuristic or production planning problems," LIDAM Discussion Papers CORE 2001056, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  40. 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.
  41. 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.
  42. Yves Pochet & Mathieu Van Vyve, 2004. "A General Heuristic for Production Planning Problems," INFORMS Journal on Computing, INFORMS, vol. 16(3), pages 316-327, August.
  43. Süral, Haldun & Denizel, Meltem & Van Wassenhove, Luk N., 2009. "Lagrangean relaxation based heuristics for lot sizing with setup times," European Journal of Operational Research, Elsevier, vol. 194(1), pages 51-63, April.
  44. Stadtler, Hartmut & Sahling, Florian, 2013. "A lot-sizing and scheduling model for multi-stage flow lines with zero lead times," European Journal of Operational Research, Elsevier, vol. 225(3), pages 404-419.
  45. 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.
  46. Lang, Jan Christian & Shen, Zuo-Jun Max, 2011. "Fix-and-optimize heuristics for capacitated lot-sizing with sequence-dependent setups and substitutions," European Journal of Operational Research, Elsevier, vol. 214(3), pages 595-605, November.
  47. Schlenkrich, Manuel & Parragh, Sophie N., 2024. "Capacitated multi-item multi-echelon lot sizing with setup carry-over under uncertain demand," International Journal of Production Economics, Elsevier, vol. 277(C).
  48. Simpson, N. C., 1999. "Multiple level production planning in rolling horizon assembly environments," European Journal of Operational Research, Elsevier, vol. 114(1), pages 15-28, April.
  49. Tao Wu, 2022. "Predictive Search for Capacitated Multi-Item Lot Sizing Problems," INFORMS Journal on Computing, INFORMS, vol. 34(1), pages 385-406, January.
  50. 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.
  51. Gaetan Belvaux & Laurence A. Wolsey, 2000. "bc --- prod: A Specialized Branch-and-Cut System for Lot-Sizing Problems," Management Science, INFORMS, vol. 46(5), pages 724-738, May.
  52. 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.
  53. Gansterer, Margaretha & Födermayr, Patrick & Hartl, Richard F., 2021. "The capacitated multi-level lot-sizing problem with distributed agents," International Journal of Production Economics, Elsevier, vol. 235(C).
  54. 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.
  55. 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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