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Stochastic Lot Sizing Problems

In: Handbook of Stochastic Models and Analysis of Manufacturing System Operations

Author

Listed:
  • Horst Tempelmeier

    (University of Cologne)

Abstract

In this chapter dynamic lot sizing problems with random demands are discussed. Several approaches to handle uncertainty are presented. Single-item problems as well as multi-item lot sizing problems with limited capacities of a scarce resource are considered. Thereby the focus is on numerically tractable solution approaches.

Suggested Citation

  • Horst Tempelmeier, 2013. "Stochastic Lot Sizing Problems," International Series in Operations Research & Management Science, in: J. MacGregor Smith & Barış Tan (ed.), Handbook of Stochastic Models and Analysis of Manufacturing System Operations, edition 127, chapter 0, pages 313-344, Springer.
    • Handle: RePEc:spr:isochp:978-1-4614-6777-9_10
    DOI: 10.1007/978-1-4614-6777-9_10
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    Citations

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    Cited by:

    1. Daniela Favaretto & Alessandro Marin & Marco Tolotti, 2023. "A theoretical validation of the DDMRP reorder policy," Computational Management Science, Springer, vol. 20(1), pages 1-28, December.
    2. Alvarez, Aldair & Cordeau, Jean-François & Jans, Raf & Munari, Pedro & Morabito, Reinaldo, 2021. "Inventory routing under stochastic supply and demand," Omega, Elsevier, vol. 102(C).
    3. G. P. Kiesmüller & K. Inderfurth, 2018. "Approaches for periodic inventory control under random production yield and fixed setup cost," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 40(2), pages 449-477, March.
    4. Daniela Favaretto & Alessandro Marin & Marco Tolotti, 2021. "A data-driven and risk-based prudential approach to validate the DDMRP planning and control system," Working Papers 09, Department of Management, Università Ca' Foscari Venezia.
    5. Akartunalı, Kerem & Dauzère-Pérès, Stéphane, 2022. "Dynamic lot sizing with stochastic demand timing," European Journal of Operational Research, Elsevier, vol. 302(1), pages 221-229.
    6. 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.
    7. 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.
    8. Rossi, Roberto & Tomasella, Maurizio & Martin-Barragan, Belen & Embley, Tim & Walsh, Christopher & Langston, Matthew, 2019. "The Dynamic Bowser Routing Problem," European Journal of Operational Research, Elsevier, vol. 275(1), pages 108-126.
    9. Sereshti, Narges & Adulyasak, Yossiri & Jans, Raf, 2021. "The value of aggregate service levels in stochastic lot sizing problems," Omega, Elsevier, vol. 102(C).
    10. 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.
    11. 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.
    12. Stefano Coniglio & Arie M. C. A. Koster & Nils Spiekermann, 2018. "Lot sizing with storage losses under demand uncertainty," Journal of Combinatorial Optimization, Springer, vol. 36(3), pages 763-788, October.
    13. Gruson, Matthieu & Cordeau, Jean-François & Jans, Raf, 2021. "Benders decomposition for a stochastic three-level lot sizing and replenishment problem with a distribution structure," European Journal of Operational Research, Elsevier, vol. 291(1), pages 206-217.
    14. Taş, Duygu & Gendreau, Michel & Jabali, Ola & Jans, Raf, 2019. "A capacitated lot sizing problem with stochastic setup times and overtime," European Journal of Operational Research, Elsevier, vol. 273(1), pages 146-159.
    15. Rossi, Roberto & Kilic, Onur A. & Tarim, S. Armagan, 2015. "Piecewise linear approximations for the static–dynamic uncertainty strategy in stochastic lot-sizing," Omega, Elsevier, vol. 50(C), pages 126-140.

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