A CONDITION-BASED DYNAMIC MAINTENANCE POLICY FOR AN EXTENDED GAMMA PROCESS
Abstract
A standard gamma process is widely used for cumulative deterioration modeling purpose and to make prediction over the system future behavior. However, this process may be restrictive within an applicative context since its variance-to-mean ratio is constant over time. Extended gamma process, which was introduced by Cinlar (1980), seems to be a good candidate to overcome the latter restriction. The aim of this paper is to investigate benefits of using an extended gamma process for modeling the system evolution instead of a standard gamma process, from a reliability point of view. With that goal, we propose a condition-based dynamic maintenance policy and evaluate its performance on a finite planning horizon. Numerical experiments are illustrated based on simulated data.
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