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Managing flexibility in stochastic multi-level lot sizing problem with service level constraints
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Managing flexibility in stochastic multi-level lot sizing problem with service level constraints

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  • Sereshti, Narges
  • Adulyasak, Yossiri
  • Jans, Raf

Abstract

We investigate the stochastic multi-level lot sizing problem with a service level and in a general setting in which it is possible to have independent demand for the components as well. In this work, we present a systematic approach to evaluate the value of adding flexibility in such context. To this end,the problem with uncertain demand is modeled as a two-stage stochastic program considering different demand scenarios. We first consider at all levels a static strategy in which both the setup decisions and the production quantities are determined in the first stage before the demand is realized. We also model a more adaptive strategy to be more responsive to the realized demand when production quantity decisions of some items can be treated as recourse decisions. We investigate the value of applying such an adaptive strategy and adding more flexibility in the system under different settings. Three different bill of material (BOM) structures (serial, assembly, and general) are considered. We numerically show that adding flexibility to the system results in a cost savings depending on where we add the flexibility in the BOM. While controlling the variation in the plans is very important in the multi-level system, this research shows that even having a small degree of flexibility may result in a reasonable amount of cost savings.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:jomega:v:122:y:2024:i:c:s0305048323001214
    DOI: 10.1016/j.omega.2023.102957
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    1. 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.
    2. 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.
    3. Stadtler, Hartmut, 2003. "Multilevel lot sizing with setup times and multiple constrained resources: Internally rolling schedules with lot-sizing windows," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 20204, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    4. 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.
    5. Robinson, Powell & Narayanan, Arunachalam & Sahin, Funda, 2009. "Coordinated deterministic dynamic demand lot-sizing problem: A review of models and algorithms," Omega, Elsevier, vol. 37(1), pages 3-15, February.
    6. Tarim, S. Armagan & Kingsman, Brian G., 2004. "The stochastic dynamic production/inventory lot-sizing problem with service-level constraints," International Journal of Production Economics, Elsevier, vol. 88(1), pages 105-119, March.
    7. Gruson, Matthieu & Cordeau, Jean-François & Jans, Raf, 2018. "The impact of service level constraints in deterministic lot sizing with backlogging," Omega, Elsevier, vol. 79(C), pages 91-103.
    8. 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.
    9. Dariush Tavaghof-Gigloo & Stefan Minner, 2021. "Planning approaches for stochastic capacitated lot-sizing with service level constraints," International Journal of Production Research, Taylor & Francis Journals, vol. 59(17), pages 5087-5107, September.
    10. 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.
    11. Sujin Kim & Raghu Pasupathy & Shane G. Henderson, 2015. "A Guide to Sample Average Approximation," International Series in Operations Research & Management Science, in: Michael C Fu (ed.), Handbook of Simulation Optimization, edition 127, chapter 0, pages 207-243, Springer.
    12. 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.
    13. James H. Bookbinder & Jin-Yan Tan, 1988. "Strategies for the Probabilistic Lot-Sizing Problem with Service-Level Constraints," Management Science, INFORMS, vol. 34(9), pages 1096-1108, September.
    14. 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.
    15. Panayotis Afentakis & Bezalel Gavish, 1986. "Optimal Lot-Sizing Algorithms for Complex Product Structures," Operations Research, INFORMS, vol. 34(2), pages 237-249, April.
    16. Horst Tempelmeier & Matthias Derstroff, 1996. "A Lagrangean-Based Heuristic for Dynamic Multilevel Multiitem Constrained Lotsizing with Setup Times," Management Science, INFORMS, vol. 42(5), pages 738-757, May.
    17. Franco Quezada & Céline Gicquel & Safia Kedad-Sidhoum, 2022. "Combining Polyhedral Approaches and Stochastic Dual Dynamic Integer Programming for Solving the Uncapacitated Lot-Sizing Problem Under Uncertainty," INFORMS Journal on Computing, INFORMS, vol. 34(2), pages 1024-1041, March.
    18. 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.
    19. Contreras, Ivan & Cordeau, Jean-François & Laporte, Gilbert, 2011. "Stochastic uncapacitated hub location," European Journal of Operational Research, Elsevier, vol. 212(3), pages 518-528, August.
    20. Pierre Dodin & Jingyi Xiao & Yossiri Adulyasak & Neda Etebari Alamdari & Lea Gauthier & Philippe Grangier & Paul Lemaitre & William L. Hamilton, 2023. "Bombardier Aftermarket Demand Forecast with Machine Learning," Interfaces, INFORMS, vol. 53(6), pages 425-445, November.
    21. Panayotis Afentakis & Bezalel Gavish & Uday Karmarkar, 1984. "Computationally Efficient Optimal Solutions to the Lot-Sizing Problem in Multistage Assembly Systems," Management Science, INFORMS, vol. 30(2), pages 222-239, February.
    22. 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.
    23. 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.
    24. Tempelmeier, Horst, 2011. "A column generation heuristic for dynamic capacitated lot sizing with random demand under a fill rate constraint," Omega, Elsevier, vol. 39(6), pages 627-633, December.
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