Reliability of a 2-Unit Redundant Systems with One and Two Server Facilities | ||||
| The Egyptian Statistical Journal | ||||
| Article 1, Volume 28, Issue 1, June 1984, Page 68-84 | ||||
| Document Type: Original Article | ||||
| DOI: 10.21608/esju.1984.316601 | ||||
 View on SCiNiTO | ||||
| Authors | ||||
| Nahed Abdel-Salam Mokhles; Abdul-Hadi Nabih Ahmed | ||||
| Abstract | ||||
| This paper presents the effect of number of servers on the reliability function of a 2-unit cold standby system subject to repair and preventive maintenance. The stochastic behaviour, concerning reliability analysis, of two models is discussed. In Model I a single sever facility is available for performing repair and preventive maintenance. In Model II two server (non- exchangeable and exchangeable) facilities are available. Explicit expressions for the Laplace transform of the first passage time distribution, and the mean time to system failure are derived, by applying the regeneration point technique, under the assumption that all the distributions are arbitrary. A basic result is obtained showing that the system reliability, R(t), remains unchanged whether a single server is used or two servers are used. | ||||
| Keywords | ||||
| Laplace Transform; Mean Time to System Failure; Preventive Maintenance; Redundant Systems; Reliability Function; Server Facilities | ||||
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Statistics Article View: 21 |
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