Title: Bivariate optimal replacement policies for multistate degenerative systems

Authors: P. Govindaraju, U. Rizwan, V. Thangaraj

Addresses: Department of Mathematics, Islamiah College, Thiruvalluvar University, Vaniambadi 635 752, India. ' Department of Mathematics, Islamiah College, Thiruvalluvar University, Vaniambadi 635 752, India. ' Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai, India

Abstract: This paper studies the maintenance problem of a multistate degenerative system with k-working states and l-failure states. The long-run average cost for a multistate degenerative system under different bivariate replacement policies is derived. Existence of optimality under the aforesaid bivariate replacement polices are deduced. Numerical examples are given to illustrate the results developed in this paper.

Keywords: geometric process; replacement policy; renewal reward process; virtual repair time; optimisation; multistate degenerative systems; maintenance policy.

DOI: 10.1504/IJRS.2011.037347

International Journal of Reliability and Safety, 2011 Vol.5 No.1, pp.66 - 82

Received: 14 Feb 2009
Accepted: 04 Nov 2009
Published online: 31 Mar 2015 *

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