A series repairable system is one of the classical reliability models and is usually used in prac?tice .An optimal replacement policy for series repairable system is studied assuming that the component after repair is not “as good as new by using the geometric process model. The expressions of the long- run expected benefit and the availability per unit time are deduced. Furthermore, the replacement poli?cy model is presented with minimizing the availability rate subject to an appropriate cost rate. Lastly, a numerical example is presented, the results compared with the actual ones approve that the new mod?el is reasonable.
Key words
systematic evaluation and feasibility analysis /
series system /
renewal process /
geometric process /
imperfect repair /
replacement policy
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References
[I] Barlow R L, Hunter L c.uptimum preventive maintenance poli?cy [J]. Operations Research, 1960,8:90 - 100.
[2] Brown M,Proschan F. Imperfect repair[J]. Application Proba?bility, 1983, 20: 851-859.
[3] Pham H,Wang H. Imperfect maintenance[J] . European Journal of Operational Research, 1996,94: 425 — 438.
[4] LamY. A note on the optimal replacement problem [ J ]. Ad?vances in Applied Probability, 1988,20; 479 - 482.
[5] Zhang Y L, Wang GJ. A bivariate optimal replacement policy for a multistate repairable system [ J ]. Reliability Engineering and System Safety, 2007, 92: 535 - 542.
[6] Lam Y. A geometric process maintenance model[ J] . Southeast Asian Bulletin of Mathematics, 2003, 27: 295 - 305.
[7] Lam Y. A geometric process maintenance model with preventive repair [ J ]. European Journal of Operational Research, 2007, 182: 806-819.
[8] LamY, Zhang Y L. Analysis of a two-component series system with a geometric process model [ J ] . Naval Research Logistics,
1996,43: 491-502.
[9] Zhang Y L, Wang GJ. A geometric process repair model for a se?ries repairable system with k dissimilar components[J]- Applied Mathematical Modeling, 2007, 31: 1997 _ 2007.
[10] Wang G J Zhang Y L. An optimal replacement policy for a two component series system assuming geometric process repair [J]. Computers and Mathematics with Applications, 2007, 54: 192 -202.
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Footnotes
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