Optimal number of minimal repairs before ordering spare for preventive replacement. (English) Zbl 1201.90009
Summary: This paper presents a model for determining the optimal number of minimal repairs before ordering spare for preventive replacement. By introducing the costs of ordering, repair, downtime, replacement, and the salvage value of an un-failed system, the expected long-term cost rates and cost effectiveness are derived. It is shown that, under certain conditions, the optimal number of minimal repairs, which minimizes the cost rate or maximizes the cost effectiveness, is given by a unique solution of an equation. A numerical example is also given for illustration of the proposed model.
MSC:
| 90B05 | Inventory, storage, reservoirs |
Keywords:
ordering policy; spare; preventive replacement; minimal repair; cost rate; cost effectivenessReferences:
| [1] | Wang, H., A survey of maintenance policies of deteriorating systems, Eur. J. Oper. Res., 139, 469-489 (2002) · Zbl 0995.90020 |
| [2] | Osaki, S., An ordering policy with lead-time, Int. J. Syst. Sci., 8, 1091-1095 (1977) · Zbl 0401.90059 |
| [3] | Park, K. S.; Park, Y. T., Generalized spare ordering policies with random lead-time, Eur. J. Oper. Res., 23, 320-330 (1986) · Zbl 0581.90031 |
| [4] | Dohi, T.; Kaio, N.; Osaki, S., On the optimal ordering policies in maintenance theory survey and applications, Appl. Stochastic Models Data Anal., 14, 309-321 (1998) · Zbl 0924.90054 |
| [5] | Chien, Y. H., Generalized spare ordering policies with allowable inventory time, Int. J. Syst. Sci., 36, 13, 823-832 (2005) · Zbl 1126.90301 |
| [6] | Chien, Y. H.; Chen, J. A., Optimal spare ordering policy under a rebate warranty, Eur. J. Oper. Res., 186, 2, 708-719 (2008) · Zbl 1175.90119 |
| [7] | Chien, Y. H.; Chen, J. A., Optimal spare ordering policy for preventive replacement under cost effectiveness criterion, Appl. Math. Model., 34, 3, 716-724 (2010) · Zbl 1185.90057 |
| [8] | Kaio, N.; Osaki, S., Optimum planned maintenance with salvage cost, Int. J. Prod. Res., 16, 3, 249-257 (1978) |
| [9] | Chien, Y. H., A number-dependent replacement policy for a system with continuous preventive maintenance and random lead-times, Appl. Math. Model., 33, 3, 1078-1718 (2009) · Zbl 1168.90396 |
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