Ibrahim Yusuf
Bayero University, Nigeria
Title: Markov chain profit modeling of multi-state redundant system under two types of failures
Biography
Biography: Ibrahim Yusuf
Abstract
The paper deals with modeling and profit evaluation of a series-parallel system with independent failures using Markov Birth-Death process and probabilistic approach. The system consists of four subsystems with three possible states, working, reduced capacity and failed. Through the transition diagram, systems of differential equations are developed and solved recursively via probabilistic approach. Explicit expressions for busy period of repair men, steady-state availability and profit function are derived. Profit matrices for each subsystem have been developed to provide various performance values for different combinations of failure and repair rates of all subsystems. The results of this paper will enhance the system performance and useful for timely execution of proper maintenance improvement, decision, planning and optimization.