Reliability analysis for a k/n(F) system with repairable repair-equipment
| dc.contributor.author | Zhang, Yuan Lin | - |
| dc.contributor.author | Wu, Shaomin | - |
| dc.date.accessioned | 2011-09-29T16:56:06Z | |
| dc.date.available | 2011-09-29T16:56:06Z | |
| dc.date.issued | 2009-07-01T00:00:00Z | - |
| dc.description.abstract | In this paper, the reliability and replacement policy of a k/n(F) (i.e. k-out- of-n: F) system with repairable repair-equipment is analyzed. We assume that both the working and repair times of all components in the system and the repair-equipment follow exponential distributions, and the repairs on the components are perfect whereas that on the repair-equipment is imperfect. Under these assumptions, by using the geometric process, the vector Markov process and the queueing theory, we derive reliability indices for such a system and discuss its properties. We also optimize a replacement policy N under which the repair- equipment is replaced whenever its failure number reaches N. The explicit expression for the expected cost rate (i.e. the expected long-run cost per unit time) of the repair-equipment is derived, and the corresponding optimal replacement policy N* can be obtained analytically or numerically. Finally, a numerical example for policy N is given. | en_UK |
| dc.identifier.citation | Yuan Lin Zhang, Shaomin Wu, Reliability analysis for a k/n(F) system with repairable repair-equipment, Applied Mathematical Modelling, Volume 33, Issue 7, July 2009, Pages 3052-3067 | - |
| dc.identifier.issn | 0307-904X | - |
| dc.identifier.uri | http://dx.doi.org/10.1016/j.apm.2008.10.022 | - |
| dc.identifier.uri | http://dspace.lib.cranfield.ac.uk/handle/1826/3333 | |
| dc.language.iso | en_UK | - |
| dc.publisher | Elsevier Science B.V., Amsterdam. | en_UK |
| dc.subject | Geometric process | en_UK |
| dc.subject | Supplementary variables | en_UK |
| dc.subject | Vector Markov process | en_UK |
| dc.subject | M/M/1 queueing system | en_UK |
| dc.subject | Repairable repair-equipment | en_UK |
| dc.title | Reliability analysis for a k/n(F) system with repairable repair-equipment | en_UK |
| dc.type | Article | - |