Accession Number : AD0728590

Title :   A Set Theoretic Treatment of Coherent Systems.

Descriptive Note : Technical rept.,

Corporate Author : NAVAL POSTGRADUATE SCHOOL MONTEREY CALIF

Personal Author(s) : Butterworth,Richard W.

Report Date : JUN 1971

Pagination or Media Count : 22

Abstract : The paper develops properties of coherent systems from a set theoretic viewpoint with particular emphasis on modules of coherent systems. The methods used here demonstrate concisely the previously reported properties of modules as well as some new properties. Specifically, min path sets and min cut sets of a coherent system are given several characterizations. The modularity of a subset of components is given a new characterization which is used as a definition. The situation under which a set and its complement are simultaneously modules is characterized. Finally, the established three modules theorem is given a new proof. (Author)

Descriptors :   (*RELIABILITY, *SET THEORY), THEOREMS

Subject Categories : Theoretical Mathematics
      Mfg & Industrial Eng & Control of Product Sys

Distribution Statement : APPROVED FOR PUBLIC RELEASE