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Optimizing Field Repair Kits Based on Job Completion Rate

Author

Listed:
  • John W. Mamer

    (University of California, Los Angeles)

  • Stephen A. Smith

    (Xerox Palo Alto Research Center)

Abstract

A formulation is presented for obtaining the optimal kit of parts and tools for on-site equipment repairs, based on the fraction of jobs which can be completed from the contents of the kit. This formulation generalizes previous approaches in that part demands need not be independent and various numbers of parts as well as multiple part types per job may be required. It is shown that the formulation is a special case of Balinski's "selection problem" and thus can be solved by maximal flow/minimal cut network algorithms.

Suggested Citation

  • John W. Mamer & Stephen A. Smith, 1982. "Optimizing Field Repair Kits Based on Job Completion Rate," Management Science, INFORMS, vol. 28(11), pages 1328-1333, November.
    • Handle: RePEc:inm:ormnsc:v:28:y:1982:i:11:p:1328-1333
    DOI: 10.1287/mnsc.28.11.1328
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    Citations

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    Cited by:

    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. Dorit S. Hochbaum, 2004. "50th Anniversary Article: Selection, Provisioning, Shared Fixed Costs, Maximum Closure, and Implications on Algorithmic Methods Today," Management Science, INFORMS, vol. 50(6), pages 709-723, June.
    6. 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.
    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. 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.
    9. 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.
    10. 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.
    11. Narendra Agrawal & Stephen A. Smith, 2003. "Optimal retail assortments for substitutable items purchased in sets," Naval Research Logistics (NRL), John Wiley & Sons, vol. 50(7), pages 793-822, October.
    12. 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.
    13. 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.
    14. 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.
    15. 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.
    16. 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.
    17. Kathryn E. Caggiano & Peter L. Jackson & John A. Muckstadt & James A. Rappold, 2007. "Optimizing Service Parts Inventory in a Multiechelon, Multi-Item Supply Chain with Time-Based Customer Service-Level Agreements," Operations Research, INFORMS, vol. 55(2), pages 303-318, April.
    18. Kennedy, W. J. & Wayne Patterson, J. & Fredendall, Lawrence D., 2002. "An overview of recent literature on spare parts inventories," International Journal of Production Economics, Elsevier, vol. 76(2), pages 201-215, March.
    19. Stephen A. Smith & Narendra Agrawal, 2000. "Management of Multi-Item Retail Inventory Systems with Demand Substitution," Operations Research, INFORMS, vol. 48(1), pages 50-64, February.

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