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Performance Analysis of a Multi-Item Production-Inventory System Under Alternative Policies

Author

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  • Paul H. Zipkin

    (Graduate School of Business, Columbia University, New York, New York 10027)

Abstract

This paper explores the performance of a multi-item production-inventory system. We compare two alternative policies, representing different modes of collecting and utilizing information. We derive a closed-form measure of performance for one of them, the familiar first-come-first-served (FCFS) policy, and propose a comparable approximation for the other, the longest-queue (LQ) policy. These results are illustrated and tested through simulations. In this way we address several basic managerial issues: What is the value of centralized information in complex systems? How does the breadth of the product line affect performance?

Suggested Citation

  • Paul H. Zipkin, 1995. "Performance Analysis of a Multi-Item Production-Inventory System Under Alternative Policies," Management Science, INFORMS, vol. 41(4), pages 690-703, April.
    • Handle: RePEc:inm:ormnsc:v:41:y:1995:i:4:p:690-703
    DOI: 10.1287/mnsc.41.4.690
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    Cited by:

    1. Saif Benjaafar & Yanzhi Li & Dongsheng Xu & Samir Elhedhli, 2008. "Demand Allocation in Systems with Multiple Inventory Locations and Multiple Demand Sources," Manufacturing & Service Operations Management, INFORMS, vol. 10(1), pages 43-60, October.
    2. William Liang & Barış Balcıog̃lu & Robert Svaluto, 2013. "Scheduling policies for a repair shop problem," Annals of Operations Research, Springer, vol. 211(1), pages 273-288, December.
    3. Haim Mendelson & Ali K. Parlaktürk, 2008. "Product-Line Competition: Customization vs. Proliferation," Management Science, INFORMS, vol. 54(12), pages 2039-2053, December.
    4. Thonemann, Ulrich W. & Bradley, James R., 2002. "The effect of product variety on supply-chain performance," European Journal of Operational Research, Elsevier, vol. 143(3), pages 548-569, December.
    5. Achal Bassamboo & Ramandeep S. Randhawa & Jan A. Van Mieghem, 2012. "A Little Flexibility Is All You Need: On the Asymptotic Value of Flexible Capacity in Parallel Queuing Systems," Operations Research, INFORMS, vol. 60(6), pages 1423-1435, December.
    6. Albert Y. Ha, 2000. "Stock Rationing in an M/E k /1 Make-to-Stock Queue," Management Science, INFORMS, vol. 46(1), pages 77-87, January.
    7. Srinagesh Gavirneni & Roman Kapuscinski & Sridhar Tayur, 1999. "Value of Information in Capacitated Supply Chains," Management Science, INFORMS, vol. 45(1), pages 16-24, January.
    8. Francis De Vericourt & Fikri Karaesmen & Yves Dallery, 2000. "Dynamic Scheduling in a Make-to-Stock System: A Partial Characterization of Optimal Policies," Operations Research, INFORMS, vol. 48(5), pages 811-819, October.
    9. Saif Benjaafar & William L. Cooper & Joon-Seok Kim, 2005. "On the Benefits of Pooling in Production-Inventory Systems," Management Science, INFORMS, vol. 51(4), pages 548-565, April.
    10. Bora Kat & Zeynep Avṣar, 2011. "Using aggregate fill rate for dynamic scheduling of multi-class systems," Annals of Operations Research, Springer, vol. 182(1), pages 87-117, January.
    11. Guodong (Gordon) Gao & Lorin M. Hitt, 2012. "Information Technology and Trademarks: Implications for Product Variety," Management Science, INFORMS, vol. 58(6), pages 1211-1226, June.
    12. Ganesh Janakiraman & Mahesh Nagarajan & Senthil Veeraraghavan, 2018. "Simple Policies for Managing Flexible Capacity," Manufacturing & Service Operations Management, INFORMS, vol. 20(2), pages 333-346, May.
    13. H. G. H. Tiemessen & M. Fleischmann & G. J. Houtum, 2017. "Dynamic control in multi-item production/inventory systems," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 39(1), pages 165-191, January.
    14. Jan A. Van Mieghem, 2003. "Due-Date Scheduling: Asymptotic Optimality of Generalized Longest Queue and Generalized Largest Delay Rules," Operations Research, INFORMS, vol. 51(1), pages 113-122, February.
    15. Topan, E. & Eruguz, A.S. & Ma, W. & van der Heijden, M.C. & Dekker, R., 2020. "A review of operational spare parts service logistics in service control towers," European Journal of Operational Research, Elsevier, vol. 282(2), pages 401-414.
    16. Srinagesh Gavirneni & Sridhar Tayur, 1999. "Managing a Customer Following a Target Reverting Policy," Manufacturing & Service Operations Management, INFORMS, vol. 1(2), pages 157-173.
    17. Sanajian, Nima & BalcIog[small tilde]lu, BarIs, 2009. "The impact of production time variability on make-to-stock queue performance," European Journal of Operational Research, Elsevier, vol. 194(3), pages 847-855, May.
    18. Saif Benjaafar & Mohsen ElHafsi & Francis de Véricourt, 2004. "Demand Allocation in Multiple-Product, Multiple-Facility, Make-to-Stock Systems," Management Science, INFORMS, vol. 50(10), pages 1431-1448, October.
    19. Ayd{i}n Alptekinou{g}lu & Charles J. Corbett, 2010. "Leadtime-Variety Tradeoff in Product Differentiation," Manufacturing & Service Operations Management, INFORMS, vol. 12(4), pages 569-582, January.
    20. 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).
    21. Huang, Shui-Mu & Su, Jack C.P., 2013. "Impact of product proliferation on the reverse supply chain," Omega, Elsevier, vol. 41(3), pages 626-639.
    22. Jain, Apurva, 2007. "Value of capacity pooling in supply chains with heterogeneous customers," European Journal of Operational Research, Elsevier, vol. 177(1), pages 239-260, February.
    23. Li, Xiuhui & Wang, Qinan, 2007. "Coordination mechanisms of supply chain systems," European Journal of Operational Research, Elsevier, vol. 179(1), pages 1-16, May.
    24. N Sanajian & H Abouee-Mehrizi & B Balcıog̃lu, 2010. "Scheduling policies in the M/G/1 make-to-stock queue," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(1), pages 115-123, January.

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