Accession Number : AD0712405

Title :   CLASSES OF DISTRIBUTIONS APPLICABLE IN REPLACEMENT, WITH RENEWAL THEORY IMPLICATIONS,

Corporate Author : BOEING SCIENTIFIC RESEARCH LABS SEATTLE WASH MATHEMATICAL AND INFORMATION SCIENCES LAB

Personal Author(s) : Marshall,Albert W. ; Proschan,Frank

Report Date : AUG 1970

Pagination or Media Count : 35

Abstract : Age and block replacement policies are commonly used to diminish in-service failures. Unfortunately, for some items (say, those with decreasing failure rate), use of these policies may actually increase the number of in-service failures. In this paper the largest classes of life distributions are determined for which age and block replacement diminishes, either stochastically or in expected value, the number of failures in service. Bounds are obtained on survival probability, moment inequalities, and renewal quantity inequalities for distributions in these classes. It is shown that under certain reliability operations on components in a class of life distributions (such as formation of systems, addition of life lengths, and mixtures of distributions), life distributions are obtained which remain within the class. (Author)

Descriptors :   (*REPLACEMENT THEORY, STATISTICAL PROCESSES), DISTRIBUTION FUNCTIONS, PROBABILITY, LIFE EXPECTANCY, RELIABILITY, RANDOM VARIABLES

Subject Categories : Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE