[KSCI] Korea Science Citation Index Service

Optimal Number of Failures before Group Replacement under Minimal Repair

Young Kwan, Yoo (School of Business Administration, Halla University)

Publication Information

Journal of the Korea Safety Management & Science / v.6, no.1, 2004 , pp. 61-70 More about this Journal

Abstract

In this paper, a group replacement policy based on a failure count is analysed. For a group of identical repairable units, a maintenance policy is performed with two phase considerations: a repair interval phase and a waiting interval phase. Each unit undergoes minimal repair at failure during the repair interval. Beyond the interval, no repair is made until a number of failures. The expected cost rate expressions under the policy is derived. A method to obtain the optimal values of decision variables are explored. Numerical examples are given to demonstrate the results.

Keywords

minimal repair; group replacement; maintenance policy;

Citations & Related Records

Reference

1	Leemis, L.M., Lifetime distribution identities, IEEE Transactions on Reliability, R-35, 1986, 170-174
2	Muth, E.j., An optimal decision rule for repair vs replacement, IEEE Transactions on Reliability, R-26, 179-181
3	Assaf, D., and Shanthikumar, J.G., Optimal group maintenance policies with continuous and periodic inspections, Management Science, 33, 1987, 1440-1452
4	Barlow, R.E., and Hunter, L.C., Optimum preventive maintenance policies, Operations Research, 8, 1960, 90-100
5	Gertsbakh, I.B., Optimal group preventive maintenance of a system with observable state parameter, Advances in Applied Probability, 16, 1984, 923-925
6	Beichelt, F., A unifying treatment of replacement policies with minimal repair, Naval Research Logistics, 40, 1993, 51-67
7	Valdez-Flores, C., and Feldman, R.M., A survey of preventive maintenance models for stochastically deteriorating single-unit systems, Naval Research Logistics, 36, 1989, 419-446
8	Nakagawa, T., Modified periodic replacement with minimal repair at failure, IEEE Transactions on Reliability, R-30, No.2, 1981, 165-168
9	Nakagawa, T., A summary of periodic replacement with minimal repair at failure, Journal of the Operations Research Society of Japan, 24, 1981, 213-227
10	Ross, S.M., Applied Probability Models with Optimization Applications, Holden-Day, California, 1970
11	David, H.A, Order Statistics, Wiley, New York, 1970
12	Okumoto, K., and Elsayed, E.A., An optimum group replacement policy, Naval Research Logistics Quarterly, 30, 1983, 667-67
13	Morimura, H., On some preventive maintenance policies for IFR, Journal of the Operations Research Society of Japan, 12, 1970, 94-124
14	Ritchken, P., and Wilson, J.G., (m.T) Group maintenance policies, Management Science, 36, 1990, 632-639
15	Mood, A.M., Graybill, F.A. and Boes, D.C., Introduction to the Theory of Statistics, McGraw-Hill, New York, 1974
16	Barlow, R.E., and Proschan, F., Statistical Theory of Reliability and Life Testing, Holt, Rinehart and Winston, New York, 1975
17	Tahara, A., and Nishida, T., Optimal replacement policy for a minimal repair model, Journal of the Operations Research Society of Japan, 18, 1975, 113-124
18	Makabe, H., and Morimura, H., On some preventive maintenance policies, Journal of the Operations Research Society of Japan, 6, 1963, 17-47
19	Yoo, Y. K., 'Optimal waiting time before group replacement under minimal repair', Journal of the Korean Society of Maintenance Engineers, Vol.3, No.1, 1998, pp101-110