School of Studies in Statistics, Pt Ravishankar Shukla UniversityRaipur India

Email:- profsksingh@hotmail.com

 The purpose of the present paper is to stochastically analysis of a system having two parallel operating units subject to inspection and replacement. Whenever any operating unit fails it is inspected to diagnose the possibility of its either repair or replacement. There is a single repair facility to repair the failed units on first come first serve basis. All the failure time distributions are assumed to be negative exponential while as inspection, repair and replacement time distributions are taken to be arbitrarily. Various reliability characteristics are obtained in order to analyze the expected profit earned by the system. Also, a consistent asymptotically normal (CAN) estimator, a 100(1-alpha)% asymptotic confidence interval for the steady state availability of the system and the maximum likelihood estimator (MLE) of the system reliability are obtained. Lastly a numerical example is discussed to highlight the important results.