Title: System reliability measures in the presence of common cause failures

Authors: Amit Kumar; Mangey Ram

Addresses: Department of Mathematics, Graphic Era University, Dehradun, Uttarakhand, India ' Department of Mathematics, Graphic Era University, Dehradun, Uttarakhand, India

Abstract: Standby and k-out-of-n redundancies are one of the most famous ways to improve the reliability of a system. k-out-of-n:G/F redundancies imply that at least k component is required to work properly for successful/unsuccessful operation of the system. This paper deals with the mathematical modelling of a system in which both of the redundancies i.e., standby and k-out-of-n:F are considered. The considered system consists two subsystems, namely A and B. Subsystem A has two units in parallel configuration and it is connected to subsystem B, which is of 2-out-of-3:F type, in series configuration. Subsystem A has one unit in standby redundancy. The model is analysed with the help of Markov process and supplementary variable technique. Various reliability characteristics are found and demonstrated with the help of graphs.

Keywords: supplementary variable technique; reliability theory; sensitivity analysis; Markov process; system reliability; common cause failures; mathematical modelling.

DOI: 10.1504/IJISE.2016.078004

International Journal of Industrial and Systems Engineering, 2016 Vol.24 No.1, pp.44 - 61

Received: 21 Jul 2014
Accepted: 08 Nov 2014
Published online: 31 Jul 2016 *

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