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Note---A Multiple-Item Inventory Model with a Job Completion Criterion

Author

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  • Stephen C. Graves

    (Massachusetts Institute of Technology)

Abstract

Most office equipment is maintained by service organizations consisting of teams of service representatives. An important problem for the service organizations is the determination of the spare parts inventory to be carried by each service representative. This note presents a model for finding the spare parts kit that has the minimum inventory investment for a specified job completion criterion. The model is shown to be equivalent to a binary knapsack problem. The model is contrasted with the model developed by Smith, Chambers and Shlifer for a similar problem.

Suggested Citation

  • Stephen C. Graves, 1982. "Note---A Multiple-Item Inventory Model with a Job Completion Criterion," Management Science, INFORMS, vol. 28(11), pages 1334-1337, November.
    • Handle: RePEc:inm:ormnsc:v:28:y:1982:i:11:p:1334-1337
    DOI: 10.1287/mnsc.28.11.1334
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    Citations

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    Cited by:

    1. Narendra Agrawal & Morris A. Cohen, 2001. "Optimal material control in an assembly system with component commonality," Naval Research Logistics (NRL), John Wiley & Sons, vol. 48(5), pages 409-429, August.
    2. Heeremans, D. & Gelders, L. F., 1995. "Multiple period repair kit problem with a job completion criterion: A case study," European Journal of Operational Research, Elsevier, vol. 81(2), pages 239-248, March.
    3. 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.
    4. 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.
    5. Michael F. Gorman, 2023. "Case Article—Swirltubs After-Market Product Inventory and Service Case," INFORMS Transactions on Education, INFORMS, vol. 23(3), pages 149-151, May.
    6. Bijvank, Marco & Koole, Ger & Vis, Iris F.A., 2010. "Optimising a general repair kit problem with a service constraint," European Journal of Operational Research, Elsevier, vol. 204(1), pages 76-85, July.
    7. Jing-Sheng Song, 1998. "On the Order Fill Rate in a Multi-Item, Base-Stock Inventory System," Operations Research, INFORMS, vol. 46(6), pages 831-845, December.
    8. 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.
    9. 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.
    10. 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.
    11. Renato de Matta & Vernon Ning Hsu & Timothy J. Lowe, 1999. "Capacitated selection problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 46(1), pages 19-37, February.
    12. Prak, Dennis & Saccani, Nicola & Syntetos, Aris & Teunter, Ruud & Visintin, Filippo, 2017. "The Repair Kit Problem with positive replenishment lead times and fixed ordering costs," European Journal of Operational Research, Elsevier, vol. 261(3), pages 893-902.
    13. 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.
    14. 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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