Performance analysis of a complex repairable system with two subsystems in series configuration with an imperfect switch

Vijay Vir Singh, Praveen Kumar Poonia, Ameer Hassan Adbullahi

Abstract


This paper presents the study of reliability measures of a complex system consisting of two subsystems, subsystem-1, and subsystem-2, in a series configuration with switching device. The subsystem-1 has five units that are working under 2-out-of-5: G policy and the subsystem-2 has two units that are working under 1-out-of-2: G policy. Moreover, the switching device in the system is unreliable, and as long as the switch fails, the whole system fails immediately. Failure rates of units of subsystems are constant and assumed to follow the exponential distribution. Still, their repair supports two types of distribution, namely general distribution and Gumbel-Hougaard family copula distribution. Using the supplementary variable technique, Laplace transformations, and copula approach differential equations developed. Important reliability characteristics such as availability of the system, reliability of the system, MTTF, profit analysis, and sensitivity analysis for MTTF have computed for fixed values of failure and repair rates. Particular cases corresponding to the switching device have also considered. Graphs demonstrate results, and consequently, conclusions have done.

Full Text: PDF

Published: 2020-01-02

How to Cite this Article:

Vijay Vir Singh, Praveen Kumar Poonia, Ameer Hassan Adbullahi, Performance analysis of a complex repairable system with two subsystems in series configuration with an imperfect switch, J. Math. Comput. Sci., 10 (2020), 359-383

Copyright © 2020 Vijay Vir Singh, Praveen Kumar Poonia, Ameer Hassan Adbullahi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

J. Math. Comput. Sci.

ISSN: 1927-5307

Editorial Office: jmcs@scik.org

 

Copyright ©2020 JMCS