A little's result approach to the service constrained spares provisioning problem for repairable items

Operations Research

Volumn 45, Issue 4, 1997, Pages 577-583

  Abboud, Nadim E ^a   Daigle, John N ^b  

^a AMERICAN UNIVERSITY OF BEIRUT   (Lebanon)

^b UNIVERSITY OF MISSISSIPPI   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; FAILURE ANALYSIS; MAINTENANCE; OPERATIONS RESEARCH; OPTIMIZATION; RANDOM PROCESSES; RELIABILITY;

OPTIMAL NUMBER OF REPAIR STATIONS; OPTIMAL NUMBER OF SERVERS; SPARES PROVISIONING PROBLEM;

REPAIR;

EID: 0031186766     PISSN: 0030364X     EISSN: None     Source Type: Journal    
DOI: 10.1287/opre.45.4.577     Document Type: Article

References (21)

1. ABBOUD, N. E. 1990. The Spares Provisioning Problem With Parts Inventory. Ph.D. Dissertation. Virginia Polytechnic Institute and State University.
2. ALBRIGHT, S. C. AND A. GUPTA. 1993. Steady-State Approximation of a Multiechelon Multi-Indentured RepairableItem Inventory System with a Single Repair Facility. Naval Res. Logist. 40, 479-493.
3. BARLOW, R. E. 1962. Repairman Problems, Studies in Applied Probability and Management Science. K. Arrow, S. Karlin, and H. Scarf (eds.). Stanford University Press, Stanford, California.
4. BENSON, F. AND D. R. Cox. 1951. The Productivity of Machines Requiring Attention at Random Intervals. J. Royal Stat. Soc. B, 13, 65-82.
5. BUZEN, J. P. 1973. Computational Algorithms for Closed Queueing Networks with Exponential Servers. Comm. ACM 16, 527-531.
6. ÇINLAR, E. 1975. Introduction to Stochastic Processes. Prentice Hall, New Jersey, 87-90.
7. COHEN, M. A., P. R. KLEINDORFER, AND H. L. LEE. 1989. Near-Optimal Service Constrained Stocking Policies for Spare Parts. Opns. Res. 37, 104-117.
8. FELLER, W. 1970. An Introduction to Probability Theory and Its Applications, I, Third Edition. John Wiley & Sons, New York, 462-466.
9. GRAVES, S. C. 1985. A Multi-Echelon Inventory Model for a Repairable Item with One-for-One Replenishment. Mgmt. Sci., 31, 1247-1256.
10. GROSS, D., B. GU, AND R. M. SOLAND. 1993. Iterative Solution Methods for Obtaining the Steady-State Probability Distributions of Markovian Multi-Echelon Repairable Item Inventory Systems. Comput. Oper. Res., 20, 817-828.
11. GROSS, D., D. R. MILLER, AND R. M. SOLAND. 1983. A Closed Queueing Network Model for Multi-Echelon Repairable Item Provisioning. IIE Trans., 15, 344-352.
12. JOHNSON, A. P. AND V. M. FERNANDEZ. 1978. Simulation of the Number of Spare Engines Required for an Aircraft Fleet. J. Opnl. Res. Soc. 29, 33-38.
13. LITTLE, J. D. C. 1961. A Proof of the Queueing Formula: L = λW. Opns. Res., 9, 383-387.
14. MADU, C. N. AND C.-H. KUEI. 1992. Simulation Metamodels of System Availability and Optimum Spare and Repair Units. IIE Trans., 24, 99-104.
15. MOORE, T. P. 1986. Optimal Design, Procurement and Support of Multiple Repairable Equipment and Logistic Systems. Ph.D. Dissertation, Virginia Polytechnic Institute and State University.
16. MUCKSTADT, J. A. 1973. A Model for a Multi-Item, MultiEchelon, Multi-Indenture Inventory System. Mgmt. Sci. 20, 472-481.
17. REISER, M. AND S. S. LAVENBERG. 1980. Mean-Value Analysis of Closed Multichain Queuing Networks. J. ACM 27, 313-322.
18. ROSS, S. M. 1985. Introduction to Probability Models. Third Edition. Academic Press, New York.
19. SCHAEFFER, M. K. 1983. A Multi-Item Maintenance Center Inventory Model for Low-Demand Rate Reparable Items. Mgmt. Sci. 29, 1062-1068.
20. SHERBROOKE, C. C. 1992. Optimal Inventory Modeling of Systems: Multi-Echelon Techniques. Wiley & Sons, New York.
21. SURI, R., J. L. SANDERS, AND M. KAMATH. 1993. Performance Evaluation of Production Networks. In Logistics of Production and Inventory, S. C. Graves, A. H. G. Rinnooy Kan, and P. H. Zipkin (eds.). North-Holland, Amsterdam, Chapter 5.