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Queueing analysis of two unreliable servers machining system with switching and common cause failure

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  • Madhu Jain
  • Chandra Shekhar
  • Shalini Shukla

Abstract

In this paper, we analyse the performance of primary and secondary unreliable servers in a multi-component machining system. For the smooth functioning of the system, there is a provision of warm spares that may not be perfect in switching the failed operating unit. Primary server is prone to complete or partial breakdown whereas secondary server faces only complete breakdown independently or simultaneously due to common cause. The life time and repair time of the operating units, breakdown and the repair time of the servers are exponentially distributed. Various performance indices are formulated to study the behaviour of the queueing model of concerned machining system developed more significantly. By taking an illustration, the sensitivity analysis is carried out. The numerical results are summarised in tabular form and also depicted via graphs.

Suggested Citation

  • Madhu Jain & Chandra Shekhar & Shalini Shukla, 2013. "Queueing analysis of two unreliable servers machining system with switching and common cause failure," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 5(4), pages 508-536.
    • Handle: RePEc:ids:ijmore:v:5:y:2013:i:4:p:508-536
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    Cited by:

    1. Shekhar, Chandra & Kumar, Neeraj & Gupta, Amit & Kumar, Amit & Varshney, Shreekant, 2020. "Warm-spare provisioning computing network with switching failure, common cause failure, vacation interruption, and synchronized reneging," Reliability Engineering and System Safety, Elsevier, vol. 199(C).

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