Analysis of a production-inventory system with machine breakdowns and shutdowns

Computers and Operations Research

Volumn 26, Issue 1, 1999, Pages 73-91

  Liu, Bin ^a   Cao, Jinhua ^a  

^a INSTITUTE OF APPLIED MATHEMATICS   (China)

Author keywords

Production inventory; Unreliable machine

Indexed keywords

FAILURE ANALYSIS; INVENTORY CONTROL; OPERATIONS RESEARCH; POISSON DISTRIBUTION; PRODUCTION ENGINEERING; RANDOM PROCESSES; REPAIR;

PRODUCTION INVENTORY SYSTEMS; UNRELIABLE MACHINES;

SYSTEMS ANALYSIS;

METHODOLOGY; PLANNING METHOD;

EID: 0032764917     PISSN: 03050548     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0305-0548(98)00040-9     Document Type: Article

References (23)

1. Akella R, Kumar PR. Optimal control of production rate in a failure prone manufacturing system. IEEE Transition Automatic Control 1986;31:116-26.
2. Asmussen S. Applied Probability and Queues. Wiley, New York, 1987.
3. Berg M, Posner MJM, Zhao H. Production-inventory systems with unreliable machines. Operational Research 1994;42:111-8.
4. Bielecki T, Kumar PR. Optimality of zero-inventory policies for unreliable manufacturing systems. Operational Research 1987;36:532-41.
5. Buzacott JA, Shanthikumar JG. Stochastic Models of Manufacturing Systems. Prentice Hall, Englewood Cliffs, NJ, 1993.
6. De Kok AG, Tijms HC, Van Der Duyn Schouten FA. Approximations for the single-product production-inventory problem with compound poisson demand and service-level constraints. Advance in Applied Probability 1984;16:378-401.
7. Doshi BT, Van Der Duyn Schouten FA, Talman AJJ. A production-inventory control model with a mixture of back-orders and lost-sales. Management Science 1978;24:1078-86.
8. Gavish B, Graves SC. A one-product production/inventory problem under continuous review policy. Operational Research 1980;28:1228-36.
9. Gershwin SB. Manufacturing Systems Engineering. Englewood Cliffs, NJ. Prentice Hall, 1994.
10. Graves SC, Keilson J. The compensation method applied to a one-product production/inventory problem. Mathematical Operational Research 1981;6:246-62.
11. Karlin S, Taylor HM. A First Course in Stochastic Processes, 2nd Ed. New York. Academic Press, 1975.
12. Liu B, Cao J. Production control of an unreliable manufacturing system under the assumption of no backlog. Mathematical Methods of Operational Research 1997;46:103-17.
13. Meyer RR, Rothkopf MH, Smith SA. Reliability and inventory in a production-storage system. Management Science 1979;25:799-807.
14. Mitra D. Stochastic theory of a fluid model of producers and consumers coupled by a buffer. Advance in Applied Probability 1988;20:646-76.
15. Parthasarathy PR, Sharafali M. On the unutilized capacity of a production-storage system. Operational Research Letters 1987;6:223-38.
16. Perry D, Posner MJM. Analysis of production/inventory systems with several production rates. Communicational Statistical-stochastic Models 1990;6:99-116.
17. Posner MJM, Berg M. Analysis of a production-inventory system with unreliable production facility. Operational Research Letters 1989;8:339-45.
18. Ross SM. Stochastic Processes. New York: Wiley, 1983.
19. Sharafali M. On a continuous review production-inventory problem. Operational Research Letters 1984;3:199-204.
20. Sharifnia A. Production control of a manufacturing system with multiple machine states. IEEE Transition Automatic Control 1988;33:620-5.
21. Takács L. Introduction to the Theory of Queues. New York: Oxford University Press, 1962.
22. Thomson WT. Laplace Transformation-theory and Engineering Applications. New York, Prentice-Hall: 1950.
23. Widder DV. The Laplace Transform. Princeton University Press, Princeton, NJ: 1946.