Advances in Operations Research
Volume 2009 (2009), Article ID 691203, 13 pages
Research Article

Optimum Maintenance Policy of a Periodically Inspected System under Imperfect Repair

Departamento de Métodos Estadísticos, Centro Politécnico Superior de Ingenieros, Universidad de Zaragoza, 50018 Zaragoza, Spain

Received 19 November 2008; Accepted 21 April 2009

Academic Editor: Shey-Huei Sheu

Copyright © 2009 F. G. Badía and M. D. Berrade. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper deals with the maintenance policy of a system subject to periodical inspections aimed at detecting the occurrence of failures. After the first N1 failure, the system undergoes an imperfect repair that brings the system back to the operating condition while the N th failure is followed by a perfect repair restoring the unit to an as-good-as-new condition. The limiting average availability as well as the minimum cost policy are discussed.