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MIP models for production lot sizing problems with distribution costs and cargo arrangement

Author

Listed:
  • Flavio Molina

    (Universidade Federal do Triângulo Mineiro)

  • Reinaldo Morabito

    (Universidade Federal de São Carlos)

  • Silvio Alexandre de Araujo

    (Universidade Estadual Paulista)

Abstract

This study presents mixed integer programming (MIP) models for production lot sizing problems with distribution costs using unit load devices such as pallets and containers. Problems that integrate production lot sizing decisions and loading of the products in vehicles (bins) are also modelled, in which constraints such as weight limits, volume restrictions or the value of the cargo loaded in the bins are considered. In general, these problems involve a trade-off between production, inventory and distribution costs. Lot sizing decisions should take into account production capacity and product demand constraints. Distribution decisions are related to the loading and transport of products in unit load devices. The MIP models are solved by the branch-and-cut method of an optimization package and the results show that these approaches have the potential to address different practical situations.

Suggested Citation

  • Flavio Molina & Reinaldo Morabito & Silvio Alexandre de Araujo, 2016. "MIP models for production lot sizing problems with distribution costs and cargo arrangement," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 67(11), pages 1395-1407, November.
    • Handle: RePEc:pal:jorsoc:v:67:y:2016:i:11:d:10.1057_jors.2016.12
    DOI: 10.1057/jors.2016.12
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    References listed on IDEAS

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    1. Vidal, Carlos J. & Goetschalckx, Marc, 1997. "Strategic production-distribution models: A critical review with emphasis on global supply chain models," European Journal of Operational Research, Elsevier, vol. 98(1), pages 1-18, April.
    2. Seliaman, M.E. & Ahmad, Ab Rahman, 2009. "A generalized algebraic model for optimizing inventory decisions in a multi-stage complex supply chain," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 45(3), pages 409-418, May.
    3. L. V. Kantorovich, 1960. "Mathematical Methods of Organizing and Planning Production," Management Science, INFORMS, vol. 6(4), pages 366-422, July.
    4. F. Fumero & C. Vercellis, 1999. "Synchronized Development of Production, Inventory, and Distribution Schedules," Transportation Science, INFORMS, vol. 33(3), pages 330-340, August.
    5. de Matta, Renato & Miller, Tan, 2004. "Production and inter-facility transportation scheduling for a process industry," European Journal of Operational Research, Elsevier, vol. 158(1), pages 72-88, October.
    6. Vroblefski, Mark & Ramesh, R. & Zionts, Stanley, 2000. "Efficient lot-sizing under a differential transportation cost structure for serially distributed warehouses," European Journal of Operational Research, Elsevier, vol. 127(3), pages 574-593, December.
    7. Thomas, Douglas J. & Griffin, Paul M., 1996. "Coordinated supply chain management," European Journal of Operational Research, Elsevier, vol. 94(1), pages 1-15, October.
    8. Glock, C. H. & Grosse, E. H. & Ries, J. M., 2014. "The Lot Sizing Problem: A Tertiary Study," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 63361, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    9. Holmbom, Martin & Segerstedt, Anders, 2014. "Economic Order Quantities in production: From Harris to Economic Lot Scheduling Problems," International Journal of Production Economics, Elsevier, vol. 155(C), pages 82-90.
    10. Glock, Christoph H. & Grosse, Eric H. & Ries, Jörg M., 2014. "The lot sizing problem: A tertiary study," International Journal of Production Economics, Elsevier, vol. 155(C), pages 39-51.
    11. Kathryn E. Stecke & Xuying Zhao, 2007. "Production and Transportation Integration for a Make-to-Order Manufacturing Company with a Commit-to-Delivery Business Mode," Manufacturing & Service Operations Management, INFORMS, vol. 9(2), pages 206-224, September.
    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. Amorim, P. & Belo-Filho, M.A.F. & Toledo, F.M.B. & Almeder, C. & Almada-Lobo, B., 2013. "Lot sizing versus batching in the production and distribution planning of perishable goods," International Journal of Production Economics, Elsevier, vol. 146(1), pages 208-218.
    14. 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.
    15. W. J. Baumol & H. D. Vinod, 1970. "An Inventory Theoretic Model of Freight Transport Demand," Management Science, INFORMS, vol. 16(7), pages 413-421, March.
    16. Lee, Woon-Seek & Han, Jong-Han & Cho, Sung-Jin, 2005. "A heuristic algorithm for a multi-product dynamic lot-sizing and shipping problem," International Journal of Production Economics, Elsevier, vol. 98(2), pages 204-214, November.
    17. 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.
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