Abstract
This paper discusses the condition-based non-periodic maintenance policy for a stochastic deteriorating system influenced by a dynamic environment which is described by a covariates process. The deterioration is modelled by a stochastic univariate process. The process of covariates is assumed to be a time homogeneous finite state space Markov chain. A model similar to the proportional hazards model is used to represent the influence of the covariates. In the framework of a monotone deteriorating system, we derive the optimal maintenance threshold, optimal inspection sequence to minimise the expected maintenance cost per time unit. An adequate maintenance policy in which the inspection schemes depend both on the level of degradation and on the state of covariates is studied. Comparison of the expected costs per time unit under different conditions of covariates and different maintenance policies is given by numerical results of Monte Carlo simulation.
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