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k-out-of-n Systems

  1. Ming J. Zuo1,
  2. Zhigang Tian2

Published Online: 15 JUN 2010

DOI: 10.1002/9780470400531.eorms0446

Wiley Encyclopedia of Operations Research and Management Science

Wiley Encyclopedia of Operations Research and Management Science

How to Cite

Zuo, M. J. and Tian, Z. 2010. k-out-of-n Systems. Wiley Encyclopedia of Operations Research and Management Science. .

Author Information

  1. 1

    University of Alberta, Department of Mechanical Engineering, Edmonton, Alberta, Canada

  2. 2

    Concordia Institute for Information Systems Engineering Concordia University, Montreal, Quebec, Canada

Publication History

  1. Published Online: 15 JUN 2010

Abstract

In this article, we focus on the k-out-of-n system structure. This structure is a widely used type of redundancy in both industrial and military systems. In the binary k-out-of-n system models, it is assumed that the system and the components can take only two possible states, completely working or totally failed. In the multistate k-out-of-n system and the weighted multistate k-out-of-n system models, it is assumed that the system and the components can take multiple discrete states. For all these k-out-of-n system models, algorithms for evaluation of the system state distribution are investigated given component state distributions are investigated.

Keywords:

  • binary k-out-of-n systems;
  • multistate k-out-of-n systems;
  • component state distribution;
  • reliability evaluation;
  • weighed multistate k-out-of-n systems