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Alternating Renewal Processes

  1. Nilay Tanik Argon

Published Online: 14 JAN 2011

DOI: 10.1002/9780470400531.eorms0025

Wiley Encyclopedia of Operations Research and Management Science

Wiley Encyclopedia of Operations Research and Management Science

How to Cite

Argon, N. T. 2011. Alternating Renewal Processes. Wiley Encyclopedia of Operations Research and Management Science. .

Author Information

  1. University of North Carolina, Department of Statistics and Operations Research, Chapel Hill, North Carolina

Publication History

  1. Published Online: 14 JAN 2011

Abstract

This article introduces a continuous-time stochastic process, which is called an alternating renewal process, that alternates between two states such as “up” and “down.” We provide the limiting distribution of the process and demonstrate its use by two examples.

Keywords:

  • alternating renewal process;
  • inspection paradox;
  • key renewal theorem