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A Spare Ordering Policy for Preventive Replacement with Repair

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주제분류학제간연구

초록

This paper presents a spare ordering policy for preventive replacement with minimal repair. To analyze the ordering policy, the failure process is modeled by a non-homogeneous Poisson process. Introducing the ordering,repair, downtime, replacement costs and salvage value, we derive the expected cost effectiveness as a criterion of optimality when the lifetime and lead times for the regular and expedited orders are generally distributed random variables. It is shown that, under certain conditions, there exists a finite and unique optimum ordering time which maximizes the expected cost effectiveness. A numerical example is also included to explain the proposed model.

Abstract

This paper presents a spare ordering policy for preventive replacement with minimal repair. To analyze the ordering policy, the failure process is modeled by a non-homogeneous Poisson process. Introducing the ordering,repair, downtime, replacement costs and salvage value, we derive the expected cost effectiveness as a criterion of optimality when the lifetime and lead times for the regular and expedited orders are generally distributed random variables. It is shown that, under certain conditions, there exists a finite and unique optimum ordering time which maximizes the expected cost effectiveness. A numerical example is also included to explain the proposed model.

참고문헌 (14)

  1. Barlow, R.E., "Optimum preventive maintenance policies", Operations Research, 8, pp.90~100 (1960)
  2. Chien, Y.H., "Generalized spare ordering policies with allowable inventory time", International Journal of Systems Science, 20, pp.823~832 (2005)
  3. Cleroux, R., "The age replacement problem with minimal repair and random repair cost", Operations Research, 27, pp.1158~1167 (1979)
  4. Dohi, T., "On the optimal ordering policies in maintenance theory – survey and applications", Applied Stochastic Models and Data Analysis, 14, pp.309~321 (1998)
  5. Hadley, G., "Analysis of Inventory Systems" (1963), PrenticeHall
  6. Kaio, N., "Ordering policies with two types of lead times", Microelectronics and Relia- bility, 16, pp.225~229 (1978)
  7. Kaio, N., "Optimum planned maintenance with salvage cost", International Journal of Production Research, 16(3), pp.249~257 (1978)
  8. Kalpakam, S., "Ordering policies with random lead times", Microelectronics and Reliability, 21(5), pp.737~741 (1981)
  9. Nakagawa, T., "Analysis of a system with minimal repair and its application to replacement theory", European Journal of Operational Research, 12, pp.176~182 (1983)
  10. Osaki, S., "An ordering policy with lead time", International Journal of Systems Science, 8, pp.1091~1095 (1977)
  11. Park, Y.T., "Generalized spare ordering policies with random lead time", European Journal of Operational Research, 23, pp.320~330 (1986)
  12. Savits, T.H., "Some multivariate distributions derived from a nonfatal shock model", Journal of Applied Probability, 25, pp.383~390 (1988)
  13. Thomas, L.C., "An optimal ordering policy for a spare unit with lead time", European Journal of Operational Research, 2, pp.409~419 (1978)
  14. Wang, H., "A survey of maintenance policies of deteriorating systems", European Journal of Operational Research, 139, pp.469~489 (2002)

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