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Optimizing service-level and relevant cost for a stochastic multi-item cyclic production system

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  • Jodlbauer, Herbert
  • Reitner, Sonja

Abstract

A multi-item make-to-order production system in a stochastic environment is analyzed. Assuming a common cycle production approach, the impact of safety stock, cycle time, demand, processing time and setup time on service-level and total relevant cost (holding, setup and backorder cost) is determined. To illustrate this relationship a trajectory for the service-level with respect to the relevant cost (holding and setup) is presented. Furthermore algorithms to calculate the cycle time which leads to maximum service-level at constant safety stock and to calculate the pair cycle time and safety stock which minimize total relevant cost are introduced.

Suggested Citation

  • Jodlbauer, Herbert & Reitner, Sonja, 2012. "Optimizing service-level and relevant cost for a stochastic multi-item cyclic production system," International Journal of Production Economics, Elsevier, vol. 136(2), pages 306-317.
  • Handle: RePEc:eee:proeco:v:136:y:2012:i:2:p:306-317
    DOI: 10.1016/j.ijpe.2011.12.015
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    1. Serge M. Karalli & A. Dale Flowers, 2006. "The Multiple-Family ELSP with Safety Stocks," Operations Research, INFORMS, vol. 54(3), pages 523-531, June.
    2. 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.
    3. Ravi Anupindi & Sridhar Tayur, 1998. "Managing Stochastic Multiproduct Systems: Model, Measures, and Analysis," Operations Research, INFORMS, vol. 46(3-supplem), pages 98-111, June.
    4. Ashayeri, J. & Heuts, R.J.M. & Lansdaal, H.G.L. & Strijbosch, L.W.G., 2006. "Cyclic production-inventory planning and control in the pre-Deco industry: A case study," International Journal of Production Economics, Elsevier, vol. 103(2), pages 715-725, October.
    5. Robert B. Cooper & Shun-Chen Niu & Mandyam M. Srinivasan, 1998. "When Does Forced Idle Time Improve Performance in Polling Models?," Management Science, INFORMS, vol. 44(8), pages 1079-1086, August.
    6. 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.
    7. Subhashish Samaddar & Thomas Whalen, 2008. "Improving Performance in Cyclic Production Systems by Using Forced Variable Idle Setup Time," Manufacturing & Service Operations Management, INFORMS, vol. 10(2), pages 173-180, August.
    8. James T. Treharne & Charles R. Sox, 2002. "Adaptive Inventory Control for Nonstationary Demand and Partial Information," Management Science, INFORMS, vol. 48(5), pages 607-624, May.
    9. 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).
    10. 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.
    11. Bouchriha, Hanen & Ouhimmou, Mustapha & D'Amours, Sophie, 2007. "Lot sizing problem on a paper machine under a cyclic production approach," International Journal of Production Economics, Elsevier, vol. 105(2), pages 318-328, February.
    12. 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.
    13. 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.
    14. 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.
    15. 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.
    16. Debashish Sarkar & Willard I. Zangwill, 1991. "Variance Effects in Cyclic Production Systems," Management Science, INFORMS, vol. 37(4), pages 444-453, April.
    17. Samaddar, Subhashish & Hill, Craig A., 2007. "Controlling adverse effect on work in process inventory while reducing machine setup time," European Journal of Operational Research, Elsevier, vol. 180(1), pages 249-261, July.
    18. Ravi Anupindi & Thomas E. Morton & David Pentico, 1996. "The Nonstationary Stochastic Lead-Time Inventory Problem: Near-Myopic Bounds, Heuristics, and Testing," Management Science, INFORMS, vol. 42(1), pages 124-129, January.
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    6. Jodlbauer, Herbert & Dehmer, Matthias & Strasser, Sonja, 2018. "A hybrid binomial inverse hypergeometric probability distribution: Theory and applications," Applied Mathematics and Computation, Elsevier, vol. 338(C), pages 44-54.
    7. Chiu, Yuan-Shyi Peter & Huang, Chao-Chih & Wu, Mei-Fang & Chang, Huei-Hsin, 2013. "Joint determination of rotation cycle time and number of shipments for a multi-item EPQ model with random defective rate," Economic Modelling, Elsevier, vol. 35(C), pages 112-117.

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