The purpose of this paper is to analyze a series-parallel system by using semi-Markov process. There is a preventive maintenance action provided to the system in order to increase the life time of the system. We suppose that the failure, repair, and maintenance times are stochastically independent random variables each having an arbitrary distribution. The kernel matrix associated with this system is constructed. Expressions for mean sojourn times, steady-state availability, availability function, reliability function, mean time to failure, and mean time to repair are presented. Numerical solutions of the system are obtained.
Digital Object Identifier (DOI)
A. El-Damcese, M.; N. Salem, A.; and S. Temraz, N.
"Semi-Markov Model of a Series-Parallel System Subject to Preventive Maintenance,"
Journal of Statistics Applications & Probability: Vol. 2:
3, Article 13.
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol2/iss3/13