
Accession Number : AD0642105
Title : THE OPTIMAL BURNIN TESTING OF REPAIRABLE EQUIPMENT.
Descriptive Note : Technical rept.,
Corporate Author : MASSACHUSETTS INST OF TECH CAMBRIDGE OPERATIONS RESEARCH CENTER
Personal Author(s) : Cozzolino,John Michael
Report Date : OCT 1966
Pagination or Media Count : 131
Abstract : The infant mortality effect observed in the statistical treatment of reliability denotes a decreasing with time of the conditional probability of failure of a device which exhibits it. This widely present effect may be utilized to improve the reliability by means of burnin testing which seeks to discriminate between high and low quality units by accumulating operating experience upon all units. Burnin testing is applicable to both unrepairable and repairable devices. The latter case is more difficult since the state of a failed and repaired unit usually depends upon the entire past history of the unit and upon the nature of the repair process. A general burnin test problem for repairable devices is formulated based upon the explicit modeling of the repair process. The case of unrepairable devices is treated as a special case. Considering a particular conjugate form of the repair rule the burnin test optimization is formulated as a sequential decision problem and the solution is discussed in terms of dynamic programming. An adaptive reformulation which allows a parameter of the failure process to be considered unknown is also given. Specific models of decreasing failure rate processes, based upon the population heterogeneity cause of decreasing failure rate, are given. (Author)
Descriptors : (*MAINTENANCE, RELIABILITY), (*STATISTICAL ANALYSIS, RELIABILITY), FAILURE(MECHANICS), FAILURE, MATHEMATICAL MODELS, PROBABILITY, OPTIMIZATION, TEST METHODS, FAILURE(ELECTRONICS)
Subject Categories : Mfg & Industrial Eng & Control of Product Sys
Distribution Statement : APPROVED FOR PUBLIC RELEASE