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Terminal inventory level constraints for online production scheduling

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  • Dong, Yachao
  • Maravelias, Christos T.

Abstract

We study online production scheduling, that is, the iterative solution of scheduling optimization problems taking into account feedback, to ensure high quality of implemented, as opposed to predicted, production schedules. While the addition of terminal constraints on inventory levels can be used to obtain high quality implemented schedules, traditional approaches based on safety stocks may be ineffective. Accordingly, we first propose a framework for the analysis of general classes of terminal constraints, and then propose new classes of linear terminal constraints for specific production environments. We provide proofs on the validity of these constraints as well as extensions to more general environments. Finally, through a computational study, we show that the implementation of the proposed constraints leads to better implemented solutions.

Suggested Citation

  • Dong, Yachao & Maravelias, Christos T., 2021. "Terminal inventory level constraints for online production scheduling," European Journal of Operational Research, Elsevier, vol. 295(1), pages 102-117.
  • Handle: RePEc:eee:ejores:v:295:y:2021:i:1:p:102-117
    DOI: 10.1016/j.ejor.2021.02.029
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    1. Awi Federgruen & Aliza Heching, 1999. "Combined Pricing and Inventory Control Under Uncertainty," Operations Research, INFORMS, vol. 47(3), pages 454-475, June.
    2. Jeffrey R. Barker & Graham B. McMahon, 1985. "Scheduling the General Job-Shop," Management Science, INFORMS, vol. 31(5), pages 594-598, May.
    3. Stephen C. Graves, 1981. "A Review of Production Scheduling," Operations Research, INFORMS, vol. 29(4), pages 646-675, August.
    4. Andrew J. Clark & Herbert Scarf, 2004. "Optimal Policies for a Multi-Echelon Inventory Problem," Management Science, INFORMS, vol. 50(12_supple), pages 1782-1790, December.
    5. Wallace B. Crowston & Michael H. Wagner, 1973. "Dynamic Lot Size Models for Multi-Stage Assembly Systems," Management Science, INFORMS, vol. 20(1), pages 14-21, September.
    6. Marshall Fisher & Kamalini Ramdas & Yu-Sheng Zheng, 2001. "Ending Inventory Valuation in Multiperiod Production Scheduling," Management Science, INFORMS, vol. 47(5), pages 679-692, May.
    7. Owen Q. Wu & Hong Chen, 2010. "Optimal Control and Equilibrium Behavior of Production-Inventory Systems," Management Science, INFORMS, vol. 56(8), pages 1362-1379, August.
    8. Roman Kapuściński & Sridhar Tayur, 1998. "A Capacitated Production-Inventory Model with Periodic Demand," Operations Research, INFORMS, vol. 46(6), pages 899-911, December.
    9. Shib Sana & Suresh Goyal, 2015. "$$(Q,r,L)$$ ( Q , r , L ) model for stochastic demand with lead-time dependent partial backlogging," Annals of Operations Research, Springer, vol. 233(1), pages 401-410, October.
    10. Nicholas G. Hall & Chris N. Potts, 2003. "Supply chain scheduling: Batching and delivery," Operations Research, INFORMS, vol. 51(4), pages 566-584, August.
    11. John A. Muckstadt & Michael H. Isaac, 1981. "An analysis of single item inventory systems with returns," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 28(2), pages 237-254, June.
    12. Jing-Sheng Song & Paul Zipkin, 1993. "Inventory Control in a Fluctuating Demand Environment," Operations Research, INFORMS, vol. 41(2), pages 351-370, April.
    13. Blazewicz, Jacek & Dror, Moshe & Weglarz, Jan, 1991. "Mathematical programming formulations for machine scheduling: A survey," European Journal of Operational Research, Elsevier, vol. 51(3), pages 283-300, April.
    14. Stadtler, Hartmut, 2000. "Improved rolling schedules for the dynamic single level lot sizing problem," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 14079, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    15. Ioannis Ch. Paschalidis & Yong Liu, 2003. "Large Deviations-Based Asymptotics for Inventory Control in Supply Chains," Operations Research, INFORMS, vol. 51(3), pages 437-460, June.
    16. Xin Chen & Zhan Pang & Limeng Pan, 2014. "Coordinating Inventory Control and Pricing Strategies for Perishable Products," Operations Research, INFORMS, vol. 62(2), pages 284-300, April.
    17. Yi Yang & Youhua (Frank) Chen & Yun Zhou, 2014. "Coordinating Inventory Control and Pricing Strategies Under Batch Ordering," Operations Research, INFORMS, vol. 62(1), pages 25-37, February.
    18. Gary D. Eppen & R. Kipp Martin, 1988. "Determining Safety Stock in the Presence of Stochastic Lead Time and Demand," Management Science, INFORMS, vol. 34(11), pages 1380-1390, November.
    19. Baker, Kenneth R., 1981. "An analysis of terminal conditions in rolling schedules," European Journal of Operational Research, Elsevier, vol. 7(4), pages 355-361, August.
    20. Hartmut Stadtler, 2000. "Improved Rolling Schedules for the Dynamic Single-Level Lot-Sizing Problem," Management Science, INFORMS, vol. 46(2), pages 318-326, February.
    21. Erwin van der Laan & Marc Salomon & Rommert Dekker & Luk Van Wassenhove, 1999. "Inventory Control in Hybrid Systems with Remanufacturing," Management Science, INFORMS, vol. 45(5), pages 733-747, May.
    22. James Flynn & Stanley Garstka, 1990. "A Dynamic Inventory Model with Periodic Auditing," Operations Research, INFORMS, vol. 38(6), pages 1089-1103, December.
    23. 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.
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