Adaptative maintenance policies for multi-component deteriorating systems subject evolving

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1 Adaptative maintenance policies for multi-component deteriorating systems subject evolving Estelle Deloux and Mitra Fouladirad Institut Charles Delaunay - UMR CNRS 6281 Université de Technologie de Troyes 30/06/16 1

2 1 Detailed subject and scientific context In many fields, such as transport (automotive, aeronautics, etc.), energy (nuclear facilities, petrochemistry, etc.) and critical infrastructures (roads, bridges, etc.), the interest of decision making maintenance has increased in order to reduce the associated costs and/or improve the durability and the reliability of the system. Intensive researches in maintenance modeling for monocomponent system have been achieved producing a lot of models for optimization of its scheduling [1]. With the evolution of the technology the systems are more and more complex and the hypothesis of monocomponent system is too restrictive. In this context, numerous research works have provided multiple relevant model taking into account the interactions that can be exist between components (economic dependence, structural dependence, stochastic dependence) [2,3]. From these works, it can be concluded that the performance of a maintenance strategy is clearly dependent on the level of knowledge available to characterize the considered failure process. Furthermore, the classical approaches to maintenance optimization for multi-component systems do not explicitly describe the relationship between the system performance and the associated operating environment [4]. The environmental conditions can affect the deterioration rate of one or several component(s), for example an excessive humidity level favors corrosion. Conversely, excessive deterioration of one component of the operating system can make changes in the environment and on other components, for example a crack in a roller of a ball bearing can initiate bad vibrations and leads to cracks on other rollers. The aim of this thesis is to propose adequate models for multi-component systems evolving in a stressful environment. E.g. the aim of this thesis could be to propose maintenance policies for a wind turbine [5] (which is a multi-component systems: gear box, high-speed shaft, the yaw drive...) taking into account the changing weather conditions. The work during the three years will be organized as follows : State-of-the-art on degradation models and maintenance policies Propose maintenance and monitoring policies Numerical results: analytic and estimation calculation (Matlab) Technical background: Knowledge in Probability, Statistics, Stochastic Processes and basic knowledge in Programming and Simulation would be appreciated 2

3 2 Research team This thesis is supervised by researchers of the Systems Modelling and Dependability Laboratory, Estelle Deloux and Mitra Fouladirad who are respectively associate professor at the Troyes University of Technology (France). They worked during the last ten years on maintenance modelling for multi-component systems and variable environmental condition. They already supervised several thesis in this field ( Wenjin Zhu, Heping Li) which motivates the present proposal. Their research interests focus on maintenance modelling and environmental condition by using stochastic models to optimise maintenance and/or inspections policies (see references [4 9]). Contacts: Laboratory The Systems Modelling and Dependability Laboratory (LM2S webpage: is part of the Charles Delaunay Institute (UMR CNRS 6281). This institute coordinates all the research activities in the university. The Systems Modelling and Dependability is organised into two main research projects: decision and diagnostic in non-stationary environment and stochastic models for reliability and maintenance. The applicant will be involved in the last team. National collaborations The candidate will participate to national collaborations with researchers from many french universities: Université de Grenoble (National School of Computer Science and Applied Mathematics), Université de Nancy (centre recherche en automatique de Nancy, CRAN). International collaborations The candidate will be able to work with the usual international partners of the supervisors on the subject that is the research teams of: M. Rausand and A. Barros from Norwegian University of Science and Technology, Trond- 3

4 heim, Norway, ( bo/) T. Bedford from University of Strathclyde, U.K ( J.A.M Vander Weide from Delft University, The Netherlands ( j.a.m.vanderweide@tudelft.nl), J. Andrews from Nottingham University, U.K (John.Andrews@nottingham.ac.uk) M. Xie from Hong Kong University, China (minxie@cityu.edu.hk) M. Pandey from Waterloo University Canada ( J. P. Kharoufeh from Department of Industrial Engineering University of Pittsburgh If necessary, a research stay in one of these universities can be organised. What is more, if the quality of the work is correct, any Ph.D student of the team attends international conferences during the thesis. References [1] H. Wang. A Survey of Maintenance Policies of Deteriorating Systems. European Journal of Operational Research, 139: , [2] R. Dekker, R.E. Wildeman, and F.A. van Der Duyn Schouten. A review of multi-component maintenance models with economic dependence. Mathematical Methods of Operations Research, 45: , [3] R.P. Nicolai and R.Dekker. Optimal maintenance of multi-component systems: a review. Technical report, Report / Econometric Institute, Erasmus University Rotterdam, [4] H. Li, E. Deloux and L. Dieulle. A condition-based maintenance policy for multi-component systems with Lévy copulas dependence. Reliability Engineering and System Safety, 149:44-55,

5 [5] W. Zhu, M. Fouladirad and C. Bérenguer. A multi-level maintenance policy for a multicomponent and multifailure mode system with two independent failure modesoriginal. Reliability Engineering and System Safety, 153:50-63, [6] H. Li, L. Dieulle and Estelle Deloux, Maintenance Scheduling For Multi-unit Systems With Hierarchical Dependences. RAMS 2016 The 62nd Annual Reliability Maintainability Symposium,2016. [7] W. Zhu, M. Fouladirad and C. Bérenguer Bi-criteria maintenance policies for a system subject to competing wear and d-shock failures. Journal of Risk and Reliability, 1?16, [8] W. Zhu, M. Fouladirad and C. Bérenguer Condition-based maintenance policies for a combined wear and shock deterioration model with covariates. Computers and Industrial Engineering, 85:268?283,2015. [9] E. Deloux, M. Fouladirad and C. Bérenguer, Health-and-usage-based maintenance policies for a partially observable deteriorating system. Journal of Risk and Reliability 1:1?10,