대한안전경영과학회지 (Journal of the Korea Safety Management & Science)

  • 제6권1호
  • /
  • Pages.61-70
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  • 2004
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  • 1229-6783(pISSN)
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  • 2288-1484(eISSN)
대한안전경영과학회 (Korea Safety Management & Science)
권호 표지

Optimal Number of Failures before Group Replacement under Minimal Repair

  • 발행 : 2004.03.01
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초록

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.

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참고문헌

  1. Assaf, D., and Shanthikumar, J.G., Optimal group maintenance policies with continuous and periodic inspections, Management Science, 33, 1987, 1440-1452
  2. Barlow, R.E., and Hunter, L.C., Optimum preventive maintenance policies, Operations Research, 8, 1960, 90-100
  3. Barlow, R.E., and Proschan, F., Statistical Theory of Reliability and Life Testing, Holt, Rinehart and Winston, New York, 1975
  4. Beichelt, F., A unifying treatment of replacement policies with minimal repair, Naval Research Logistics, 40, 1993, 51-67
  5. David, H.A, Order Statistics, Wiley, New York, 1970
  6. Gertsbakh, I.B., Optimal group preventive maintenance of a system with observable state parameter, Advances in Applied Probability, 16, 1984, 923-925
  7. Leemis, L.M., Lifetime distribution identities, IEEE Transactions on Reliability, R-35, 1986, 170-174
  8. Makabe, H., and Morimura, H., On some preventive maintenance policies, Journal of the Operations Research Society of Japan, 6, 1963, 17-47
  9. Mood, A.M., Graybill, F.A. and Boes, D.C., Introduction to the Theory of Statistics, McGraw-Hill, New York, 1974
  10. Morimura, H., On some preventive maintenance policies for IFR, Journal of the Operations Research Society of Japan, 12, 1970, 94-124
  11. Muth, E.j., An optimal decision rule for repair vs replacement, IEEE Transactions on Reliability, R-26, 179-181
  12. Nakagawa, T., Modified periodic replacement with minimal repair at failure, IEEE Transactions on Reliability, R-30, No.2, 1981, 165-168
  13. Nakagawa, T., A summary of periodic replacement with minimal repair at failure, Journal of the Operations Research Society of Japan, 24, 1981, 213-227
  14. Okumoto, K., and Elsayed, E.A., An optimum group replacement policy, Naval Research Logistics Quarterly, 30, 1983, 667-67
  15. Ritchken, P., and Wilson, J.G., (m.T) Group maintenance policies, Management Science, 36, 1990, 632-639
  16. Ross, S.M., Applied Probability Models with Optimization Applications, Holden-Day, California, 1970
  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. 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
  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