Open AccessProbabilistic approach to performance evaluation of a series-parallel system
Author(s) -
Saminu I. Bala,
Ibrahim Yusuf
Publication year - 2017
Publication title -
international journal of applied mathematical research
Language(s) - English
Resource type - Journals
ISSN - 2227-4324
DOI - 10.14419/ijamr.v6i3.7814
Subject(s) - probabilistic logic , series (stratigraphy) , series and parallel circuits , computer science , markov chain , markov process , markov model , process (computing) , reliability engineering , differential (mechanical device) , state (computer science) , mathematical optimization , markov decision process , mathematics , algorithm , machine learning , artificial intelligence , statistics , engineering , biology , aerospace engineering , operating system , paleontology , physics , quantum mechanics , voltage
The paper deals with modeling and performance evaluation of a series-parallel system using Markov Birth-Death process and probabilistic approach. The system consists of four subsystems arranged in series-parallel with three possible states, working with full capacity, reduced capacity and failed. Through the transition diagrams, systems of differential equations are developed and solved recursively via probabilistic approach. Explicit expressions for steady-state availability are de-rived. Availability 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 from this paper will enhance the system performance and useful for timely execution of proper maintenance improvement, decision, planning and optimization.