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The stochastic economic lot scheduling problem: A survey

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  • Winands, E.M.M.
  • Adan, I.J.B.F.
  • van Houtum, G.J.

Abstract

The present literature survey focuses on the stochastic economic lot scheduling problem (SELSP). The SELSP deals with the make-to-stock production of multiple standardized products on a single machine with limited capacity under random demands, possibly random setup times and possibly random production times. The main task of a production manager in this setting is the construction of a production plan for the machine. Based on the critical elements of such a production plan, we present a classification and extensive overview of the research on the SELSP together with an indication of open research areas. By doing so, we intend to stimulate the discussion on the important problems concerning the SELSP both from a theoretical and a practical point of view.

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  • Winands, E.M.M. & Adan, I.J.B.F. & van Houtum, G.J., 2011. "The stochastic economic lot scheduling problem: A survey," European Journal of Operational Research, Elsevier, vol. 210(1), pages 1-9, April.
    • Handle: RePEc:eee:ejores:v:210:y:2011:i:1:p:1-9
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    1. Karmarkar, Uday S. & Yoo, Jinsung, 1994. "The stochastic dynamic product cycling problem," European Journal of Operational Research, Elsevier, vol. 73(2), pages 360-373, March.
    2. Awi Federgruen & Ziv Katalan, 1999. "The Impact of Adding a Make-to-Order Item to a Make-to-Stock Production System," Management Science, INFORMS, vol. 45(7), pages 980-994, July.
    3. Donald D. Eisenstein, 2005. "Recovering Cyclic Schedules Using Dynamic Produce-Up-To Policies," Operations Research, INFORMS, vol. 53(4), pages 675-688, August.
    4. Sox, Charles R. & Jackson, Peter L. & Bowman, Alan & Muckstadt, John A., 1999. "A review of the stochastic lot scheduling problem," International Journal of Production Economics, Elsevier, vol. 62(3), pages 181-200, September.
    5. Ravi Anupindi & Sridhar Tayur, 1998. "Managing Stochastic Multiproduct Systems: Model, Measures, and Analysis," Operations Research, INFORMS, vol. 46(3-supplem), pages 98-111, June.
    6. Robert C. Leachman & Zhong K. Xiong & André Gascon & Kwangtae Park, 1991. "Note: An Improvement to the Dynamic Cycle Lengths Heuristic for Scheduling the Multi-Item, Single-Machine," Management Science, INFORMS, vol. 37(9), pages 1201-1205, September.
    7. Salah E. Elmaghraby, 1978. "The Economic Lot Scheduling Problem (ELSP): Review and Extensions," Management Science, INFORMS, vol. 24(6), pages 587-598, February.
    8. Soman, Chetan Anil & van Donk, Dirk Pieter & Gaalman, Gerard, 2004. "Combined make-to-order and make-to-stock in a food production system," International Journal of Production Economics, Elsevier, vol. 90(2), pages 223-235, July.
    9. Georg Krieg & Heinrich Kuhn, 2004. "Analysis of Multi-Product Kanban Systems with State-Dependent Setups and Lost Sales," Annals of Operations Research, Springer, vol. 125(1), pages 141-166, January.
    10. David M. Markowitz & Lawrence M. Wein, 2001. "Heavy Traffic Analysis of Dynamic Cyclic Policies: A Unified Treatment of the Single Machine Scheduling Problem," Operations Research, INFORMS, vol. 49(2), pages 246-270, April.
    11. Wen-Lian Hsu, 1983. "On the General Feasibility Test of Scheduling Lot Sizes for Several Products on One Machine," Management Science, INFORMS, vol. 29(1), pages 93-105, January.
    12. HSU, Wen-Lian, 1983. "On the general feasibility test of scheduling lot sizes for several products on one machine," LIDAM Reprints CORE 515, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    13. Wagner, Michael & Smits, Sanne R., 2004. "A local search algorithm for the optimization of the stochastic economic lot scheduling problem," International Journal of Production Economics, Elsevier, vol. 90(3), pages 391-402, August.
    14. Guillermo Gallego, 1990. "Scheduling the Production of Several Items with Random Demands in a Single Facility," Management Science, INFORMS, vol. 36(12), pages 1579-1592, December.
    15. Brander, Par & Forsberg, Rolf, 2006. "Determination of safety stocks for cyclic schedules with stochastic demands," International Journal of Production Economics, Elsevier, vol. 104(2), pages 271-295, December.
    16. Brander, Par & Leven, Erik & Segerstedt, Anders, 2005. "Lot sizes in a capacity constrained facility--a simulation study of stationary stochastic demand," International Journal of Production Economics, Elsevier, vol. 93(1), pages 375-386, January.
    17. Awi Federgruen & Ziv Katalan, 1996. "The Stochastic Economic Lot Scheduling Problem: Cyclical Base-Stock Policies with Idle Times," Management Science, INFORMS, vol. 42(6), pages 783-796, June.
    18. David M. Markowitz & Martin I. Reiman & Lawrence M. Wein, 2000. "The Stochastic Economic Lot Scheduling Problem: Heavy Traffic Analysis of Dynamic Cyclic Policies," Operations Research, INFORMS, vol. 48(1), pages 136-154, February.
    19. Awi Federgruen & Ziv Katalan, 1998. "Determining Production Schedules Under Base-Stock Policies in Single Facility Multi-Item Production Systems," Operations Research, INFORMS, vol. 46(6), pages 883-898, December.
    20. Fransoo, Jan C. & Sridharan, V. & Bertrand, J.Will M., 1995. "A hierarchical approach for capacity coordination in multiple products single-machine production systems with stationary stochastic demands," European Journal of Operational Research, Elsevier, vol. 86(1), pages 57-72, October.
    21. Robert C. Leachman & André Gascon, 1988. "A Heuristic Scheduling Policy for Multi-Item, Single-Machine Production Systems with Time-Varying, Stochastic Demands," Management Science, INFORMS, vol. 34(3), pages 377-390, March.
    22. Smits, Sanne R. & Wagner, Michael & G. de Kok, Ton, 2004. "Determination of an order-up-to policy in the stochastic economic lot scheduling model," International Journal of Production Economics, Elsevier, vol. 90(3), pages 377-389, August.
    23. Karla E. Bourland & Candace A. Yano, 1994. "The Strategic Use of Capacity Slack in the Economic Lot Scheduling Problem with Random Demand," Management Science, INFORMS, vol. 40(12), pages 1690-1704, December.
    24. Guillermo Gallego, 1994. "When is a base stock policy optimal in recovering disrupted cyclic schedules?," Naval Research Logistics (NRL), John Wiley & Sons, vol. 41(3), pages 317-333, April.
    25. Paul H. Zipkin, 1986. "Models for Design and Control of Stochastic, Multi-Item Batch Production Systems," Operations Research, INFORMS, vol. 34(1), pages 91-104, February.
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    2. Beemsterboer, Bart & Land, Martin & Teunter, Ruud, 2017. "Flexible lot sizing in hybrid make-to-order/make-to-stock production planning," European Journal of Operational Research, Elsevier, vol. 260(3), pages 1014-1023.
    3. Sobhani, A. & Wahab, M.I.M. & Neumann, W.P., 2015. "Investigating work-related ill health effects in optimizing the performance of manufacturing systems," European Journal of Operational Research, Elsevier, vol. 241(3), pages 708-718.
    4. George Liberopoulos & Dimitrios Pandelis & Olympia Hatzikonstantinou, 2013. "The stochastic economic lot sizing problem for non-stop multi-grade production with sequence-restricted setup changeovers," Annals of Operations Research, Springer, vol. 209(1), pages 179-205, October.
    5. Guhlich, Hendrik & Fleischmann, Moritz & Mönch, Lars & Stolletz, Raik, 2018. "A clearing function based bid-price approach to integrated order acceptance and release decisions," European Journal of Operational Research, Elsevier, vol. 268(1), pages 243-254.
    6. Beck, Fabian G. & Biel, Konstantin & Glock, Christoph H., 2019. "Integration of energy aspects into the economic lot scheduling problem," International Journal of Production Economics, Elsevier, vol. 209(C), pages 399-410.
    7. Han Wu & Gerald Evans & Ki-Hwan Bae, 2016. "Production control in a complex production system using approximate dynamic programming," International Journal of Production Research, Taylor & Francis Journals, vol. 54(8), pages 2419-2432, April.
    8. Löhndorf, Nils & Riel, Manuel & Minner, Stefan, 2014. "Simulation optimization for the stochastic economic lot scheduling problem with sequence-dependent setup times," International Journal of Production Economics, Elsevier, vol. 157(C), pages 170-176.
    9. Tempelmeier, Horst & Herpers, Sascha, 2011. "Dynamic uncapacitated lot sizing with random demand under a fillrate constraint," European Journal of Operational Research, Elsevier, vol. 212(3), pages 497-507, August.
    10. David A. Goldberg & Martin I. Reiman & Qiong Wang, 2021. "A Survey of Recent Progress in the Asymptotic Analysis of Inventory Systems," Production and Operations Management, Production and Operations Management Society, vol. 30(6), pages 1718-1750, June.
    11. Vidal-Carreras, Pilar I. & Garcia-Sabater, Jose P. & Coronado-Hernandez, Jairo R., 2012. "Economic lot scheduling with deliberated and controlled coproduction," European Journal of Operational Research, Elsevier, vol. 219(2), pages 396-404.
    12. Boon, Marko & Janssen, Guido & van Leeuwaarden, Johan & Timmerman, Rik, 2023. "Optimal capacity allocation for heavy-traffic fixed-cycle traffic-light queues and intersections," Transportation Research Part B: Methodological, Elsevier, vol. 167(C), pages 79-98.
    13. Beemsterboer, Bart & Land, Martin & Teunter, Ruud, 2016. "Hybrid MTO-MTS production planning: An explorative study," European Journal of Operational Research, Elsevier, vol. 248(2), pages 453-461.
    14. Garn, Wolfgang & Aitken, James, 2015. "Agile factorial production for a single manufacturing line with multiple products," European Journal of Operational Research, Elsevier, vol. 245(3), pages 754-766.
    15. Hossein Jahandideh & Kumar Rajaram & Kevin McCardle, 2020. "Production Campaign Planning Under Learning and Decay," Manufacturing & Service Operations Management, INFORMS, vol. 22(3), pages 615-632, May.
    16. Menezes, Mozart B.C. & Jalali, Hamed & Lamas, Alejandro, 2021. "One too many: Product proliferation and the financial performance in manufacturing," International Journal of Production Economics, Elsevier, vol. 242(C).
    17. Tiemessen, H.G.H. & van Houtum, G.J., 2013. "Reducing costs of repairable inventory supply systems via dynamic scheduling," International Journal of Production Economics, Elsevier, vol. 143(2), pages 478-488.

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