Standard Article

Repairable Systems: Renewal and NonRenewal

  1. Steven E. Rigdon

Published Online: 15 FEB 2011

DOI: 10.1002/9780470400531.eorms0723

Wiley Encyclopedia of Operations Research and Management Science

Wiley Encyclopedia of Operations Research and Management Science

How to Cite

Rigdon, S. E. 2011. Repairable Systems: Renewal and NonRenewal. Wiley Encyclopedia of Operations Research and Management Science. .

Author Information

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

Publication History

  1. Published Online: 15 FEB 2011

Abstract

Repairable systems are systems that can be restored to an operating condition by some repair operation. Models for repairable system are inherently different from models for nonrepairable systems. For nonrepairable systems, it is reasonable to assume that the lifetimes are independent and identically distributed. Models for the reliability of repairable systems must account for the occurrence of events in time. Often, these event times or interevent times are not independent and not identically distributed. This article presents models for repairable systems that account for these factors.

Keywords:

  • repairable system;
  • failure time;
  • hazard function;
  • nonrepairable system;
  • power law;
  • Weibull distribution