A Markov model for common-cause failures

Platz, Ole

doi:10.1016/0143-8174(84)90004-0

Cited by 13 publications

(1 citation statement)

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“…Wang et al (2011) performed cost benefit analysis of a machining system with warm standby components and variable server by incorporating the concept of balking. In recent past, the concept of common-cause failure which can be realized in many real time machining systems has been studied extensively (Platz 1984;Mosleh 1991;Pan and Nonaka 1995). The redundancy provision in K-r-out of-N: G configuration machining system under the assumption of common-cause failure has been investigated by Reddy (1993), Jain and Ghimire (1997), Jain et al (2002), and many more.…”

Section: Introductionmentioning

confidence: 99%

(m, M) Machining system with two unreliable servers, mixed spares and common-cause failure

Jain

Mittal²,

Kumari

2015

J Ind Eng Int

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This paper deals with multi-component machine repair model having provision of warm standby units and repair facility consisting of two heterogeneous servers (primary and secondary) to provide repair to the failed units. The failure of operating and standby units may occur individually or due to some common cause. The primary server may fail partially following full failure whereas secondary server faces complete failure only. The life times of servers and operating/standby units and their repair times follow exponential distribution. The successive over relaxation (SOR) technique has been used to obtain the steady state queue size distribution of the number of failed units in the system. To explore the system characteristics, various performance indices such as expected number of failed units in the queue, throughput, etc. have been obtained. Numerical results have been provided to illustrate the computational tractability of the proposed SOR technique. To examine the effect of system descriptors on the performance indices, the sensitivity analysis is also performed.

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