A set theoretic treatment of coherent systems
By: by Richard W. Butterworth
Contributors: Naval Postgraduate School (U.S.)
Publisher: Naval Postgraduate School
Published: 1971
Place of publication: Monterey, California
Language: eng
Number of pages: 20
Subjects: System theory
Description: 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)
Notes: Title from cover.

"June 1971"--Cover.

"NPS-55BD71062A"--Cover.

DTIC Identifiers: Modules (mathematics), blocking systems (mathematics).

Author(s) key words: Coherent systems, modules, blocking systems, simple games.

Includes bibliographical references (p. 17).

"Approved for public release; distribution unlimited"--Cover.

Technical report; 1971.