Title
A repairable system with imperfect coverage and reboot.
Abstract
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
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
Jau-Chuan Ke134844.17
Tzu-hsin Liu2387.55