The present paper deals with a stochastic model for a system having bath-tub curve shaped failure patternt. The system having bath-tub curve shaped failure pattern is catogarised in to three stages of operation which have different failure rates, i. e. corresponding to testing/burn-in process, useful life period and wear-out period. After burn-in stage, on failure of the system, the available repairman first inspects whether fault is minor or major and if the fault is minor he repairs the system. In case, fault is major then he carries out further inspection of the system to judge whether replacement has to be done by an old one unit of same operational stage or by a new one and accordingly carries out the replacement. Various measures of the system effectiveness are obtained at different stages of operation of the system using Markov process and regenerative point techniques. The system is analysed with respect to its reliability, availabilty and profit. Various conclusions have been drawn for the system on the basis of graphical study.
Bath-tub curve shaped failure, burn-in period, useful life period, wear-out period, mean time to system failure, availabilty, profit, Markov process and regenerative point techniques
