Optimal maintenance models with minimal repair, periodic overhaul and complete renewal

IIE Transactions - Tập 30 - Trang 1109-1119 - 1998
Fan Zhang1, Andrew K. S. Jardine1
1Department of Computing, the Hong Kong Polytechnic University, Kowloon, Hong Kong

Tóm tắt

This paper investigates the maintenance decision situation in which three actions, minimal repair, periodic overhaul and complete renewal, may be applied to the system under consideration. A new mathematical model is proposed to describe system improvement due to the maintenance action of an overhaul that differs from the virtual age approach by considering a direct reduction on the system's failure rate. Based on this improvement model, two cost models for determining the optimal overhaul interval and the number of overhauls in a renewal cycle, that minimize the expected unit-time cost or the total discounted cost, are established. Existence conditions of optimal solutions are obtained and special cases of the two cost models are discussed.

Tài liệu tham khảo

Barlow, R. and Hunter, L. (1960) Optimum preventive maintenance policies. Operations Research, 8, 90–100. Pierskalla, W.P. and Voelker, J.A. (1976) A survey of maintenance models: the control and surveillance of deteriorating systems. Naval Research Logistics, 23, 353–388. Valdez-Flores, C. and Feldman, M.R. (1989) A survey of preventive maintenance models for stochastically deteriorating sin-gle-unit systems. Naval Research Logistics, 36, 419–446. Pham, H. and Wang, H. (1996) Imperfect maintenance. European Journal of Operational Research, 94, 425–438. Malik, M.A.K. (1979) Reliable preventive maintenance scheduling. AIIE Transactions, 11, 221–228. Nakagawa, T. (1979) Optimal policies when preventive maintenance is imperfect. IEEE Transactions on Reliability, R-28, 331–332. Liu, X.G., Makis, V. and Jardine, A.K.S. (1995) A replacement model with overhauls and repairs. Naval Research Logistics, 42, 1063–1079. Nakagawa, T. (1986) Periodic and sequential preventive maintenance policies. Journal of Applied Probability, 23, 536–542. Malik, M.A.K. (1985) Equipment replacement and its real causes. Maintenance Management International, 5, 51–61. Lie C.H. and Chun, Y.H. (1986) An algorithm for preventive maintenance policy. IEEE Transactions on Reliability, R-35, 71–75. Olorunniwo, F. and Izuchuku, A. (1991) Scheduling imperfect preventive and overhaul maintenance. International Journal of Quality and Reliability Management, 8, 67–79. Ascher, H. and Feingold, H. (1984) Repairable Systems Reliability, Marcel Dekker, New York, pp. 9–10. Schrage, L. (1991) LINDO: An Optimization Modeling System, Scientific Press, San Francisco, CA.