Standard Article

Coherent Systems

  1. Ronald C. Neath1,
  2. Andrew A. Neath2

Published Online: 14 JAN 2011

DOI: 10.1002/9780470400531.eorms0152

Wiley Encyclopedia of Operations Research and Management Science

Wiley Encyclopedia of Operations Research and Management Science

How to Cite

Neath, R. C. and Neath, A. A. 2011. Coherent Systems. Wiley Encyclopedia of Operations Research and Management Science. .

Author Information

  1. 1

    City University of New York, Department of Statistics and Computer Information Systems, Baruch College, New York

  2. 2

    Southern Illinois University, Department of Mathematics and Statistics, Edwardsville, Illinois

Publication History

  1. Published Online: 14 JAN 2011

Abstract

A system is a collection of components, each of which is either working or in failure; in turn the system itself is either working or in failure. A system is said to be coherent if each working component is beneficial to the system. In this entry, the reader is introduced to some properties of coherent systems.

Keywords:

  • coherent system;
  • structure function;
  • path set;
  • cut set;
  • reliability;
  • stochastic ordering;
  • signature vector