Title :
Stochastically Ordered Subpopulations and Optimal Burn-In Procedure
Author :
Cha, Ji Hwan ; Finkelstein, Maxim
Author_Institution :
Dept. of Stat., Ewha Womans Univ., Seoul, South Korea
Abstract :
Burn-in is a widely used engineering method which is adopted to eliminate defective items before they are shipped to customers or put into operation. In the studies of burn-in, the assumption of a bathtub shaped failure rate function is usually employed, and optimal burn-in procedures are investigated. In this paper, however, we assume that the population is composed of two ordered subpopulations, and optimal burn-in procedures are studied in this context. Two types of risks are defined, and an optimal burn-in procedure is studied which minimizes the weighted risks. The joint optimal solutions for the optimal burn-in procedure, which minimizes the mean number of repairs during the field operation, are also investigated.
Keywords :
failure analysis; goods distribution; maintenance engineering; risk analysis; stochastic processes; bathtub shaped failure rate function; defective items; optimal burn-in procedure; repairs; risks; shipping; stochastically ordered subpopulations; Africa; Cost function; Demography; Distribution functions; Failure analysis; Probability density function; Random variables; Reliability engineering; Risk analysis; Risk management; Statistics; Stochastic processes; Upper bound; Burn-in procedure; main population; minimal repair; mixed population; ordered subpopulations; stochastic order; weighted risk;
Journal_Title :
Reliability, IEEE Transactions on
DOI :
10.1109/TR.2010.2055925
