Inventory Policies for Sequences of Multi-Item Demands with No Backorders Permitted

  • John W. Mamer
  • Stephen A. Smith
Part of the International Series in Operations Research & Management Science book series (ISOR, volume 42)


We consider a multi-item inventory system of the following sort. Demands arrive randomly in the form of requests for subsets of the multiple items. A demand is met only when its entire subset of items is available. The key difference between this system and many typical inventory models is that it is the number of demands met (or not met) that is important, rather than the number of items supplied (or short).


Inventory System Stock Level Expected Time Supply Chain Structure Part Demand 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    Baker, K.R., M.J. Magazine, and H.L. Nuttle. (1986) The Effect of Commonality on Safety Stock in a Simple Inventory System. Management Science, Vol. 32, No. 8, 982–988.Google Scholar
  2. [2]
    Baker, K.R. (1985) Safety Stocks and Component Commonality. Journal of Operations Management, Vol. 6, No. 1, 13–21.Google Scholar
  3. [3]
    Brumelle, S. and D. Granot. (1993) The Repair Kit Problem Revisited. Operations Research, Vol. 41, No. 5, 994–1006.Google Scholar
  4. [4]
    Cohen, M.A., P. Kleindorfer, and H. Lee. (1989) Near Optimal Service Constrained Policies for Spare Parts. Operations Research, Vol. 37, No. 1, 104–117.Google Scholar
  5. [5]
    Graves, S.C. (1982) A Multiple-Item Inventory Model with a Job Completion Criterion. Management Science, Vol. 28, No. 11, 13341337.Google Scholar
  6. [6]
    Hausman, W.H. (1982) On Optimal Repair Kits Under a Job Completion Criterion. Management Science, Vol. 28, No. 11, 13501351.Google Scholar
  7. [7]
    Mamer, J.W. A.W. Shogan. (1987) A Constrained Capital Budgeting Problem with Applications fo Repair Kit Selection. Management Science, Vol. 33, No. 7, 800–806.Google Scholar
  8. [8]
    Mamer, J.W. AND S.A. Smith. (1982) Optimal Field Repair Kits Based on Job Completion Rate. Management Science, Vol. 28, No. 11, 1325–1333.Google Scholar
  9. [9]
    Mamer, J.W. AND S.A. Smith. (1985) Job Completion Based Inventory Systems: Optimal Policies for Repair Kits and Space Machines. Management Science, Vol. 31, No. 6, 703–718.Google Scholar
  10. [10]
    Mamer, J.W. and S.A. Smith. (1988) A Lower Bound Heuristic for Selecting Multi-Item Inventories for a General Job Completion Objective. Manuscript, Santa Clara University.Google Scholar
  11. [11]
    March, S.T. and G.D. Scudder. (1984) On Optimizing Field Repair Kits Based on Job Completion Rate. Management Science, Vol. 30, No. 8, 1025–1028.CrossRefGoogle Scholar
  12. [12]
    Nahmias, S. and C.P. Schmidt. (1984) An Efficient Heuristic for the Multi-Item Newsboy Problem with a Single Constraint. Naval Research Logistics Quarterly, Vol. 31, 463–474.Google Scholar
  13. [13]
    Schaefer, M.K. (1983) A Multi-Item Maintenance Center Model for Low Demand Repairable Items. Management Science, Vol. 29, No. 7, 1062–1068.Google Scholar
  14. [14]
    Sherbrooke, C.C. (1971) An Evaluator for the Number of Operationally Ready Aircraft in a Multi Level System. Operations Research, Vol. 19, No. 3, 618–635. Google Scholar
  15. [15]
    Silver, E.A. (1972) Inventory Allocation Among an Assembly and Its Repairable Sub-Assemblies. Naval Research Logistics Quarterly, Vol. 19, No. 2, 261–280.CrossRefGoogle Scholar
  16. [16]
    Song, J.-S. (1998) On the Order Fill Rate in a Multi-Item, Base-Stock Inventory System. Operations Research, Vol. 46, No. 2, 83 1845.Google Scholar
  17. [17]
    Song, J.-S. (2001) Order-Based Backorders and their Implications in Multi-Item Inventory Systems. Manuscript, p. 25. Google Scholar
  18. [18]
    Smith, S.A., J. Chambers, AND E. Shlifer. (1980) Optimal Inventories Based on Job Completion Rate for Repairs Requiring Multiple Items. Management Science, Vol. 26, No. 8, 849–852.Google Scholar

Copyright information

© Springer Science+Business Media New York 2002

Authors and Affiliations

  • John W. Mamer
    • 1
  • Stephen A. Smith
    • 2
  1. 1.Anderson Graduate School of ManagementUniversity of California, Los AngelesLos AngelesUSA
  2. 2.Department of Decision and Information Sciences, Leavey School of BusinessSanta Clara UniversitySanta ClaraUSA

Personalised recommendations