Reliability indices of a redundant system with standby failure and arbitrary distribution for repair and replacement times

被引：9

作者：

Bhardwaj R.K. ^{[1
]}

Kaur K. ^{[1
]}

Malik S.C. ^{[2
]}

机构：

[1] Department of Statistics, Punjabi University, Patiala

[2] Department of Statistics, M. D. University, Rohtak

来源：

International Journal of System Assurance Engineering and Management | 2017年 / 8卷 / 02期

关键词：

Cold standby failure; Inspection and reliability indices; Redundant system; Semi-Markov model;

D O I：

10.1007/s13198-016-0445-z

中图分类号：

学科分类号：

摘要：

Reliability indices of a redundant system of two identical units—one is initially operative and the other is kept as spare in cold standby are derived by using semi-Markov process and regenerative point technique. The system model is developed by considering the aspects of standby failure and inspection. There is a single server who visits the system immediately to carry out repair activities as and when required. The unit in cold standby mode may fail after surpassing a pre specified time ‘t’. The server inspects the standby unit at its failure to see feasibility of repair. If repair of the standby unit is not feasible, it is replaced immediately by new one. However, repair of the operating unit at its failure is done without inspection. The random variables are statistically independent. Repairs and switch devices are perfect. The failure time of unit follows exponential distribution whereas repair and replacement times follow arbitrary distribution. The practical significance of the results is illustrated through numerical example. © 2016, The Society for Reliability Engineering, Quality and Operations Management (SREQOM), India and The Division of Operation and Maintenance, Lulea University of Technology, Sweden.

引用

页码：423 / 431

页数：8

共 20 条

[1]

Bhardwaj R.K., Singh R., Semi Markov approach for asymptotic performance analysis of a standby system with server failure, Int J Comput Appl, 98, 3, pp. 9-14, (2014)

[2]

Cox D.R., Renewal theory, (1962)

[3]

Eryilmaz S., Reliability of a k-out-of-n system equipped with a single warm standby component, IEEE Trans Reliab, 62, 2, pp. 499-503, (2013)

[4]

Gopalan M.N., Technical note—probabilistic analysis of a single-server n-unit system with (n − 1) warm standbys, Oper Res, 23, 3, pp. 591-598, (1975)

[5]

Hajeeh M.A., Performance evaluation and cost analysis of standby systems, Int J Mech Aerosp Ind Mechatron Eng, 8, 1, pp. 103-106, (2014)

[6]

Ibe O., Markov processes for stochastic modeling, (2008)

[7]

Jain M., Sharma G.C., Sharma R., Performance modeling of state dependent system with mixed standbys and two modes of failure, Appl Math Model, 32, 5, pp. 712-724, (2008)

[8]

Jia J., Wu S., Optimizing replacement policy for a cold-standby system with waiting repair times, Appl Math Comput, 214, 1, pp. 133-141, (2009)

[9]

Osaki S., Nakagawa T., On a two-unit standby redundant system with standby failure, Oper Res, 19, 2, pp. 510-523, (1971)

[10]

Pandey D., Jacob M., Yadav J., Reliability analysis of a power loom plant with cold standby for its strategic unit, Microelectron Reliab, 36, 1, pp. 115-119, (1996)

← 1 2 →