Accession Number : AD0479709


Title :   INVESTIGATION OF EFFECT DUE TO CORRELATION BETWEEN COMPONENTS ON SYSTEM RELIABILITY


Descriptive Note : Master's thesis


Corporate Author : NAVAL POSTGRADUATE SCHOOL MONTEREY CA


Personal Author(s) : Ayres, David R ; Schwarz, Ira N


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/479709.pdf


Report Date : Jan 1963


Pagination or Media Count : 140


Abstract : System reliability estimates are generally made using a model which assumes independence between components, and results are often claimed to be conservative. For a two component serial system bivariate distributions are developed for three cases: (1) bivariate exponential, (2) bivariate geometric, and (3) a composite exponential, geometric bivariate. These distributions are then utilized to investigate the reliability of a two component serial system when an estimate of the correlation coefficient is available. The estimate of the reliability thus obtained is then compared with the corresponding estimate obtained by use of the model which assumes that the system reliability is the product of the component reliabilities. The difference between these two estimates is tabulated for values of the correlation coefficient between -.25 and +.25, for each of the three bivariate distributions. Conditions under which the effect is maximum are explored and a method of approximating the reliability difference is suggested.


Descriptors :   *RELIABILITY , CORRELATION TECHNIQUES , DISTRIBUTION FUNCTIONS , MATHEMATICAL ANALYSIS , MATHEMATICAL MODELS , MATHEMATICAL PREDICTION , MULTIVARIATE ANALYSIS , PROBABILITY , SPECIAL FUNCTIONS(MATHEMATICS) , STATISTICAL DISTRIBUTIONS , STATISTICAL PROCESSES


Subject Categories : Statistics and Probability
      Mfg & Industrial Eng & Control of Product Sys


Distribution Statement : APPROVED FOR PUBLIC RELEASE