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Acta Armamentarii ›› 2017, Vol. 38 ›› Issue (7): 1422-1429.doi: 10.3969/j.issn.1000-1093.2017.07.022

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Reliability Analysis of Multi-state Cold Standby System with Repair Priority

CHEN Tong, DI Peng, YIN Dong-liang   

  1. (Department of Management Engineering, Naval University of Engineering, Wuhan 430033, Hubei, China)
  • Received:2016-11-15 Revised:2016-11-15 Online:2018-04-12

Abstract: The maintenance mode of a multi-state cold standby system with two identical units is studied. According to the states of units, the single repair facility provides preventive maintenance and corrective maintenance, and the corrective maintenance has a higher priority. The residence time in the different performance levels of the operational unit, the preventive maintenance time and the corrective maintenance time are assumed to follow continuous Phase-type distribution, instead of exponential distribution or others typical distributions. The stationary distribution is built by using matrix analytic methods; and several performance measures of interest, such as the system stationary availability, operational time, mean time between system halt, failure arrival rate of repair facility and system failure rate, are obtained. Finally, the validity and applicability of the model are verified by numerical applications; and the influences of the preventive maintenance rate and the corrective maintenance rate on the system reliability measures are demonstrated. The study shows that the modeling of system reliability by Phase-type distribution can ensure the better analytical property of model, improve the description ability of model, and make the model have strong universality under the condition of some assumptions. Key

Key words: ordnancescienceandtechnology, multi-state, coldstandbysystem, priority, reliability, Phase-typedistribution

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