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Block Replacement Policies

  1. Félix Belzunce1,
  2. Moshe Shaked2

Published Online: 15 FEB 2011

DOI: 10.1002/9780470400531.eorms0112

Wiley Encyclopedia of Operations Research and Management Science

Wiley Encyclopedia of Operations Research and Management Science

How to Cite

Belzunce, F. and Shaked, M. 2011. Block Replacement Policies. Wiley Encyclopedia of Operations Research and Management Science. .

Author Information

  1. 1

    Universidad de Murcia, Departamento Estadística e Investigación Operativa, Murcia, Spain

  2. 2

    University of Arizona, Department of Mathematics, Tucson, Arizona

Publication History

  1. Published Online: 15 FEB 2011

Abstract

In this article, we describe block replacement policies and we list several results that compare block replacement policies with some other policies. Mainly, we present results that compare the number of unplanned failures in a block replacement policy in the sense of several stochastic orders, with the number of unplanned failures under the usual replacement policy and under an age replacement policy. Some other results for the increasing convex order, Laplace order, and comparisons of expectations for the arrival times are considered. We first list univariate results, and later we list some extensions of the block replacement policy and comparisons of entire processes. We conclude with a basic description of the cost analysis that is associated with block replacement policies.

Keywords:

  • preventive maintenance;
  • stochastic orders;
  • aging properties;
  • Laplace transform order;
  • increasing failure rate (IFR);
  • new better than used (NBU) Poisson process;
  • minimal repair;
  • imperfect repair;
  • increasing convex order;
  • cost analysis