Abstract | ||
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In this paper, we examine a repairable system with imperfect coverage, reboot delay and one repair facility. The failure times and repair times of failed units are assumed to be exponential and general distributions, respectively. As a unit fails, it can be immediately detected, located and replaced with a coverage probability c by a standby, if one is available. We use a recursive method and the supplementary variable technique to develop the steady-state probabilities of down units at an arbitrary epoch. Then, an efficient algorithm is constructed to compute the steady-state availability. We adopt two repair time distributions, namely, exponential and gamma, to illustrate the method. Finally, we also perform a sensitivity analysis of the steady-state availability with respect to the system parameters for various repair time distributions. |
Year | DOI | Venue |
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2014 | 10.1016/j.amc.2014.07.090 | Applied Mathematics and Computation |
Keywords | Field | DocType |
availability,sensitivity analysis | Reboot,Mathematical optimization,Imperfect,Exponential function,Coverage probability,Mathematics,Recursion | Journal |
Volume | ISSN | Citations |
246 | 0096-3003 | 1 |
PageRank | References | Authors |
0.36 | 6 | 2 |
Name | Order | Citations | PageRank |
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Jau-Chuan Ke | 1 | 348 | 44.17 |
Tzu-hsin Liu | 2 | 38 | 7.55 |