Journal of Quality and Reliability Engineering
Volume 2014 (2014), Article ID 592527, 10 pages
http://dx.doi.org/10.1155/2014/592527
Research Article

Optimization Problems of Costs in a MultiState System with Imperfect Maintenance

Tunis National Higher School of Engineering, University of Tunis, BP 56, 1008 Bab Menara, Tunisia

Received 26 April 2013; Revised 19 December 2013; Accepted 27 December 2013; Published 27 February 2014

Academic Editor: Adiel Teixeira de Almeida

Copyright © 2014 Soufiane Gasmi and Nizar Mannai. 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.

Abstract

We consider optimal replacement policies with periodic imperfect maintenance actions and minimal repairs. The multistate system is minimally repaired at failure and imperfect maintenance actions are regularly carried out for preventive maintenance. The discrete modified Weibull distribution is introduced and some cost functions applied to this distribution are defined in order to be minimized. Moreover, we assume that the costs of preventive maintenance depend on the degree of repair via a Kijima type 2 model. For illustrative purpose, the obtained results are applied on sets of simulated data.