Reliability modelling and analysis of a non repairable series-parallel system
Abstract
Performance of a non repairable system may be enhancing using highly reliable structural design of the system or subsystem of higher reliability. The present study deals with the reliability modeling of a non repairable series-parallel system under three types of failures. Type I failure is unit failure from the same subsystem, type II is a failure of one unit from each subsystem while type III is a failure of all units from the same subsystem due to common cause. To each failure, the failed units are replaced with identical new ones. Markov models are developed and differential equations are derived to obtain the steady state availability, busy period of repairmen, profit function and mean time to system failure. Graphs are drawn to highlight the behavior of the results.
Copyright © 2016 Ibrahim Yusuf, Abubakar Sani Halilu, Nura Garba Khalil. 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.
Cite this article
I. Yusuf, A. S. Halilu, N. G. Khalil, Reliability modelling and analysis of a non repairable series-parallel system, J. Math. Comput. Sci. 6 (2016), 247–253.
BibTeX
@article{Yusuf2016,
author = {Yusuf, Ibrahim and Halilu, Abubakar Sani and Khalil, Nura Garba},
title = {Reliability modelling and analysis of a non repairable series-parallel system},
journal = {J. Math. Comput. Sci.},
volume = {6},
year = {2016},
pages = {247--253},
doi = {}
}