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Durham University

Department of Mathematical Sciences


This week's seminars

Statistics Seminars: A finite-horizon condition-based maintenance for a two-unit system with dependent degradation processes

Presented by Bin Liu, University of Strathclyde

2 December 2019 13:00 in CM107

Traditional condition-based maintenance policies are evaluated under the assumption of an infinite horizon, which, however, fails to meet many real scenarios, since a machine or equipment will usually be abandoned after running a few periods. In this study, we develop a condition-based maintenance model for degrading systems within a finite operating horizon. In addition, different from most existing studies that focus on a single-unit system, we consider a system with two heterogeneous components. The components are subject to dependent degradation processes, characterized by a bivariate Gamma process. Periodic inspection is performed upon the system and the components are preventively replaced when their degradation levels at inspection exceed the preventive replacement thresholds. We formulate the maintenance problem as a Markov decision process (MDP) and employ dynamic programming for the calculation purpose. The optimal maintenance policy is achieved via minimizing the expected maintenance cost. We explore the structure property of the optimal maintenance policy and obtain the boundaries for various maintenance actions. Unlike the infinite horizon which leads to a stationary maintenance policy, for the finite horizon, the optimal decision is non-stationary, which indicates that the optimal maintenance actions vary at each inspection epoch. A numerical example is performed to illustrate the proposed model, in which we investigate the influence of stochastic and economic dependence on the optimal maintenance policy. It is concluded through the numerical results that higher stochastic dependence actually reduces the maintenance cost and higher economic dependence leads to higher preventive maintenance thresholds.

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Research Seminars by Series

The research groups in the Department of Mathematical Sciences hold several seminar series in term time. Information on date, time and location are available here.

For information on previous years' seminars please see the seminar archives pages.