Reliability Performance of Machine Repair Problem with Balking, Reneging, Warm spares and Synchronous Multiple Vacation

DOI

10.2991/amsm-16.2016.75How to use a DOI?

Keywords

failure frequency; the mean time to first failure; balk; renege; reliability

Abstract

In this paper, we studied the machine repair model with impatient behaviors-balking and reneging. There are several warm spares and repairmen who take the synchronous multiple vacations in the system. We use the method of blocked matrix to solve the steady-state probability equations. And we acquired some obvious iterative expressions of steady-state performances, such as the availability, failure frequency and the mean time to first failure of the system. Moreover, we carried out some numerical analysis and investigated the effect of parameters on the performance measures about reliability.

Copyright

© 2016, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Mingjian Ma
AU  - Bing Zhao
PY  - 2016/05
DA  - 2016/05
TI  - Reliability Performance of Machine Repair Problem with Balking, Reneging, Warm spares and Synchronous Multiple Vacation
BT  - Proceedings of the 2016 International Conference on Applied Mathematics, Simulation and Modelling
PB  - Atlantis Press
SP  - 339
EP  - 344
SN  - 2352-538X
UR  - https://doi.org/10.2991/amsm-16.2016.75
DO  - 10.2991/amsm-16.2016.75
ID  - Ma2016/05
ER  -