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Job Completion Based Inventory Systems: Optimal Policies for Repair Kits and Spare Machines

Author

Listed:
  • John W. Mamer

    (Graduate School of Management, University of California, Los Angeles, California 90024)

  • Stephen A. Smith

    (Leavey School of Business, University of Santa Clara, Santa Clara, California 95053)

Abstract

In this paper, we consider multi-item inventory systems that contain repair kits of spare parts and tools and may include an inventory of spare machines as well. Demands occur in the form of field repair jobs, each requiring some collection of parts and tools for completion. If any required part or tool is not in the repair kit, the repair job is "broken." The penalty or inconvenience cost is assumed to be proportional to the number of broken jobs, regardless of the number of items short. Previous work on job completion based systems is summarized and new results for the optimal solutions are derived. A more general job completion based system is also analyzed, which allows a pool of spare machines to be used to satisfy demands which cannot be met with the repair kits. Techniques are presented for optimizing the trade-off between the inventory cost of repair kits plus spare machines and the overall level of service.

Suggested Citation

  • John W. Mamer & Stephen A. Smith, 1985. "Job Completion Based Inventory Systems: Optimal Policies for Repair Kits and Spare Machines," Management Science, INFORMS, vol. 31(6), pages 703-718, June.
    • Handle: RePEc:inm:ormnsc:v:31:y:1985:i:6:p:703-718
    DOI: 10.1287/mnsc.31.6.703
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    Citations

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    Cited by:

    1. Vliegen, I.M.H. & Kleingeld, P.A.M. & van Houtum, G.J., 2010. "Separate tools or tool kits: An exploratory study of engineers' preferences," International Journal of Production Economics, Elsevier, vol. 125(1), pages 173-184, May.
    2. Rippe, Christoph & Kiesmüller, Gudrun P., 2023. "The repair kit problem with imperfect advance demand information," European Journal of Operational Research, Elsevier, vol. 304(2), pages 558-576.
    3. K Liu & J-A Li & Y Wu & K K Lai, 2005. "Analysis of monitoring and limiting of commercial cheating: a newsvendor model," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(7), pages 844-854, July.
    4. Rachel Q. Zhang, 1999. "Expected time delay in multi‐item inventory systems with correlated demands," Naval Research Logistics (NRL), John Wiley & Sons, vol. 46(6), pages 671-688, September.
    5. Vliegen, I.M.H. & van Houtum, G.J., 2009. "Approximate evaluation of order fill rates for an inventory system of service tools," International Journal of Production Economics, Elsevier, vol. 118(1), pages 339-351, March.
    6. Liu, Ke & Li, Jing-An & Lai, Kin Keung, 2004. "Single period, single product newsvendor model with random supply shock," European Journal of Operational Research, Elsevier, vol. 158(3), pages 609-625, November.
    7. Michael F. Gorman & Sanjay Ahire, 2006. "A Major Appliance Manufacturer Rethinks Its Inventory Policies for Service Vehicles," Interfaces, INFORMS, vol. 36(5), pages 407-419, October.
    8. Teunter, Ruud H. & Klein Haneveld, Willem K., 2002. "Inventory control of service parts in the final phase: A central depot and repair kits," European Journal of Operational Research, Elsevier, vol. 138(1), pages 76-86, April.
    9. Christoph Rippe & Gudrun P. Kiesmüller, 2023. "The added value of advance demand information for the planning of a repair kit," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 31(1), pages 311-335, March.

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