The markovian two-echelon repairable item provisioning problem

Journal of the Operational Research Society

Volumn 47, Issue 2, 1996, Pages 284-296

  Abboud, Nadim E ^a  

^a AMERICAN UNIVERSITY OF BEIRUT   (Lebanon)

Author keywords

Little s result; Markov chains; Regenerative processes; Reliability

Indexed keywords

ALGORITHMS; FAILURE (MECHANICAL); MARKOV PROCESSES; QUEUEING THEORY; RELIABILITY; REPAIR;

REGENERATIVE PROCESSES; REPAIRABLE ITEM PROVISIONING SYSTEM; SERVICE LEVEL CONSTRAINT;

OPERATIONS RESEARCH;

EID: 0030084844     PISSN: 01605682     EISSN: 14769360     Source Type: Journal    
DOI: 10.1057/jors.1996.25     Document Type: Article

References (20)

1. C. C. Sherbrooke (1992) Optimal Inventory Modeling of Systems: Multi-Echelon Techniques. Wiley, New York.
2. S. C. Albright and A. Gupta (1993) Steady-state approximation of a multiechelon multi-identured repairable-item inventory system with a single repair facility. Naval Res. Logist. 40, 479-493.
3. A. Waller (1994) A queueing network model for field service support systems. Omega 22, 35-40.
4. C. N. Madu (1988) A closed queueing maintenance network with two repair centers. J. Opl Res. Soc. 39, 959-967.
5. C. N. Madu (1988) Determination of maintenance floats using Buzen’s algorithm. Int. J. Prod. Res. 26, 1385-1394.
6. C. N. Madu (1990) An economic design for optimum maintenance float policy. Computers Ind. Engng 18, 457-469.
7. C. N. Madu and C.-H. Kuei (1992) Simulation metamodels of system availability and optimum spare and repair units. HE Trans. 24, 99-104.
8. C. N. Madu and C.-H. Kuei (1992) Group screening and Taguchi design in the optimizaton of multi-echelon maintenance float simulation metamodels. Computers Ops Res. 19, 95-105.
9. C. N. Madu and M. N. Chanin (1992) A regression metamodel of a maintenance float problem with Erlang-2 failure distribution. Int. J. Prod. Res. 30, 871-885.
10. S. H. Sim and J. Endrenyi (1993) A failure-repair model with minimal and major maintenance. IEEE Trans. Rel. 42, 134-140.
11. K.-H. Wang (1994) Profit analysis of the M/M/R machine repair problem with spares and server break-downs. J. Opl Res. Soc. 45, 539-548.
12. D. Gross, 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. Computers Ops Res. 20, 817-828.
13. D. Gross, D. R. Miller and R. M. Soland (1983) A closed queueing network model for multi-echelon repairable item provisioning. IIE Trans. 15, 344-352.
14. J. D. C. Little (1961) A proof of the queueing formula: L = AW. Opns Res. 9, 383-387.
15. N. E. Abboud (1993) The two-echelon repairable item provisioning problem: a Little’s result approach. Presented at ORSA/TIMS National Meeting, Phoenix, Arizona, October 1993.
16. S. M. Ross (1985) Introduction to Probability Models. 3rd. Ed. Academic Press, New York.
17. E. Finlar (1975) Introduction to Stochastic Processes. Prentice Hall, Englewood Cliff's, New Jersey.
18. R. Suri, 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.), pp. 199-286. North-Holland, Amsterdam.
19. J. P. Buzen (1973) Computational algorithms for closed queueing networks with exponential servers. Commun. ACM 16, 527-531.
20. M. Reiser and S. S. Lavenberg (1980) Mean-value analysis of closed multichain queueing networks. J. ACM 27, 313-322.