Accession Number : AD0721219

Title :   Accuracy of the Minimal Cut Approximation of Reliability for k-Out-of-n Systems.

Descriptive Note : Master's thesis,

Corporate Author : NAVAL POSTGRADUATE SCHOOL MONTEREY CALIF

Personal Author(s) : Chapman,Austin Eugene

Report Date : MAR 1971

Pagination or Media Count : 35

Abstract : The minimal cut lower bound for k-out-of-n systems is computed and compared with the true reliability of these systems. The size of the system, n, is increased; and selected degrees of system complexity, k/n, are studied. The resulting graphs of system reliability versus component reliability indicate that both size and complexity cause a deterioration of the approximation, but they also indicate that there is a limit to this deterioration. The minimal cut lower bound is then examined, theoretically, as the size of the system increases to infinity; and the limits of deterioration are obtained. (Author)

Descriptors :   (*RELIABILITY, MATHEMATICAL MODELS), APPROXIMATION(MATHEMATICS), SYSTEMS ENGINEERING, STATISTICAL DISTRIBUTIONS, GRAPHICS, THEOREMS, THESES

Subject Categories : Operations Research
      Mfg & Industrial Eng & Control of Product Sys

Distribution Statement : APPROVED FOR PUBLIC RELEASE