Profit Analysis of Two-Dissimilar-Unit Cold Standby System with Three States under Human Failure | ||
| The Egyptian Statistical Journal | ||
| Article 1, Volume 55, Issue 1, June 2011, Pages 1-9 PDF (10.32 M) | ||
| Document Type: Original Article | ||
| DOI: 10.21608/esju.2011.314307 | ||
| Authors | ||
| M.Yas Haggag* ; Ahmed Khayar | ||
| Faculty of Science, Al-Azhar University, Egypt | ||
| Abstract | ||
| This paper deals with the Mean Time to System Failure (MTSF), steady-state availability and profit analysis of a two-dissimilar-unit cold standby system with considering human failure. The proposed system has been investigated under the assumption that each unit works in three different modes: normal, partial failure and total failure. The system suffers two types of failures: via; unit failure and human failure. Failure and repair times are assumed to have exponential distributions. Using linear first order differential equations, the system characteristics are obtained. Finally a numerical example is presented to illustrate the theoretical results. | ||
| Keywords | ||
| Reliability; Mean Time to System Failure (MTSF); Steady; State Availability; Busy Period; Profit Function; Failure and Repair Time; Linear First Order Differential Equations | ||
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