Stochastic analysis of parallel system with two discrete failures

Issue title: Statistical Estimations in Complex Problems

Guest editors: Alexander Topchishvili

Article type: Research Article

Authors: Bhatti, Jasdev^{; *} | Chitkara, Ashok K. | Kakkar, Mohit Kumar

Affiliations: Chitkara University, Rajpura, Punjab, India | Minneapolis, USA

Correspondence: [*] Corresponding author: Jasdev Bhatti, Chitkara University, Rajpura, Punjab, India. E-mail: [email protected].

Abstract: In this paper two identical parallel units have been analyzed by using discrete distribution and regenerative point technique. The distribution for repair time and inspection policy for detecting the kind of failures (minor or major) are taken as geometric distribution. Various reliability measures of system effectiveness such as mean time to system failure, steady state availability and busy period for both inspection and repairman were obtained. Graphs has been plotted for the system, that concluded the behaviour of profit function which increase along with increase in rate of repair mechanism and decreases with increase in failure rate.

Keywords: Geometric distribution, availability, inspection, busy period and profit function

DOI: 10.3233/MAS-140297

Journal: Model Assisted Statistics and Applications, vol. 9, no. 3, pp. 257-265, 2014