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Mixed integer programming model formulations for dynamic multi-item multi-level capacitated lotsizing

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  • Stadtler, Hartmut

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  • 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.
    • Handle: RePEc:eee:ejores:v:94:y:1996:i:3:p:561-581
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    1. Peter J. Billington & John O. McClain & L. Joseph Thomas, 1983. "Mathematical Programming Approaches to Capacity-Constrained MRP Systems: Review, Formulation and Problem Reduction," Management Science, INFORMS, vol. 29(10), pages 1126-1141, October.
    2. Anderson, Edward J. & Cheah, Boon Soon, 1993. "Capacitated lot-sizing with minimum batch sizes and setup times," International Journal of Production Economics, Elsevier, vol. 30(1), pages 137-152, July.
    3. Willard I. Zangwill, 1987. "From EOQ Towards ZI," Management Science, INFORMS, vol. 33(10), pages 1209-1223, October.
    4. Yves Pochet & Laurence A. Wolsey, 1991. "Solving Multi-Item Lot-Sizing Problems Using Strong Cutting Planes," Management Science, INFORMS, vol. 37(1), pages 53-67, January.
    5. Maes, Johan & McClain, John O. & Van Wassenhove, Luk N., 1991. "Multilevel capacitated lotsizing complexity and LP-based heuristics," European Journal of Operational Research, Elsevier, vol. 53(2), pages 131-148, July.
    6. Gabriel R. Bitran & Horacio H. Yanasse, 1982. "Computational Complexity of the Capacitated Lot Size Problem," Management Science, INFORMS, vol. 28(10), pages 1174-1186, October.
    7. Tempelmeier, Horst & Helber, Stefan, 1994. "A heuristic for dynamic multi-item multi-level capacitated lotsizing for general product structures," European Journal of Operational Research, Elsevier, vol. 75(2), pages 296-311, June.
    8. Gary D. Eppen & R. Kipp Martin, 1987. "Solving Multi-Item Capacitated Lot-Sizing Problems Using Variable Redefinition," Operations Research, INFORMS, vol. 35(6), pages 832-848, December.
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    Cited by:

    1. 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.
    2. 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.
    3. 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.
    4. Jenny Carolina Saldana Cortés, 2011. "Programación semidefinida aplicada a problemas de cantidad económica de pedido," Documentos CEDE 8735, Universidad de los Andes, Facultad de Economía, CEDE.
    5. Alf Kimms, 1998. "Ablauforganisation bei Serienproduktion in Fließfertigungssystemen," Schmalenbach Journal of Business Research, Springer, vol. 50(7), pages 641-655, July.
    6. M Denizel & H Süral, 2006. "On alternative mixed integer programming formulations and LP-based heuristics for lot-sizing with setup times," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(4), pages 389-399, April.
    7. 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.
    8. 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.
    9. Tao Wu & Zhe Liang & Canrong Zhang, 2018. "Analytics Branching and Selection for the Capacitated Multi-Item Lot Sizing Problem with Nonidentical Machines," INFORMS Journal on Computing, INFORMS, vol. 30(2), pages 236-258, May.
    10. Gligor, Dr David, 2020. "Birds of a feather: The impact of race on the supplier selection and evaluation process," International Journal of Production Economics, Elsevier, vol. 230(C).
    11. Christopher Suerie & Hartmut Stadtler, 2003. "The Capacitated Lot-Sizing Problem with Linked Lot Sizes," Management Science, INFORMS, vol. 49(8), pages 1039-1054, August.
    12. Di Giacomo, Laura & Patrizi, Giacomo, 2010. "Methodological analysis of supply chains management applications," European Journal of Operational Research, Elsevier, vol. 207(1), pages 249-257, November.
    13. 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.
    14. Almeder, Christian, 2010. "A hybrid optimization approach for multi-level capacitated lot-sizing problems," European Journal of Operational Research, Elsevier, vol. 200(2), pages 599-606, January.
    15. Oğuz Solyalı & Haldun Süral, 2012. "The one-warehouse multi-retailer problem: reformulation, classification, and computational results," Annals of Operations Research, Springer, vol. 196(1), pages 517-541, July.
    16. Pahl, Julia & Voß, Stefan, 2014. "Integrating deterioration and lifetime constraints in production and supply chain planning: A survey," European Journal of Operational Research, Elsevier, vol. 238(3), pages 654-674.
    17. 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.
    18. 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.
    19. 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.
    20. 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).

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