Int J Performability Eng ›› 2021, Vol. 17 ›› Issue (1): 1-13.

• Orginal Article •

### Maintenance Optimization for Complex System using Evolutionary Algorithms under Reliability Constraints within the Context of the Reliability-Centered-Maintenance

1. aResearch Laboratory Industrial Engineering and Sustainable Development (GIDD), University Abdelhamid Ibn Badis of Mostaganem Algeria
bResearch Laboratory: Industrial Engineering and Sustainable Development (GIDD), Ahmed Zabana University of Relizane Algeria
cResearch Laboratory of Signals and Automatic Systems (LSS), University Abdelhamid Ibn Badis of Mostaganem Algeria
dLaboratory PRISME, EA 4229, F45072, University of Orléans France
• Submitted on  ;  Revised on  ; Accepted on
• Contact: * Corresponding author. E-mail address: benyssaad.yssaad@cu-relizane.dz
• About author:
Bouzouda Abdellah is a PhD student at the Department of Electrical Engineering at the faculty of science and technology of the University of Mostaganem Algeria- He is a member of the laboratory “Industrial Engineering and Sustainable Development (GIDD), University center AhmaeZabana of Relizane Algeria” His research focus is the optimization and modeling in the field of maintenance of electrical systems. E-mail: abdallah.bouzouada@univ-mosta.dz
Yssaad Benyssaad is a teacher at the university center of RELIZANE Algeria. He holds a PHD in electrical engineering. He is a member of the laboratory “Industrial Engineering and Sustainable Development (GIDD), University center AhmaeZabanaofRelizane Algeria” His research focus is the optimization and modeling in the field of maintenance of electrical systems, automation systems, smart technology and renewable energy. E-mail: benyssaad_y@yahoo.fr orbenyssaad.yssaad@cu-relizane.dz
Daoud Mohamed is a teacher researcher at AbdelhamidIbnBadis University of Mostaganem, Algeria. She received Magister in Electronics, signal processing specialty from University of U.S.T.Oran, Algeria in 1997, he obtained his Doctorat in Signal processing from department of electronics and electrical engineering at Mostaganem University, Algeria in 2014. His research interests are signal processing, image processing, solar energy, the electric vehicle, biomedical, automatism and several other topics related to signal processing, he had twenty years of teaching, research. He has supervised several engineers and masters and he is currently supervising a doctoral student. He was a member of several research projects. E-mail: mohamed.daoud@univ-mosta.dz
Bekkouche Benaissa is a Professor at the Department of Electrical Engineering at the faculty of science and technology of the University of Mostaganem Algeria-; He has a PHD in electrical engineering. He is member of the laboratory of Signals and Automatic Systems (LSS). His research interests are: the maintenance of electrical systems, control systems, and renewable energy. E-mail: becbenm@yahoo.fr
Yagoubi Benabdellah received the M. Sc degree in Electrical Engineering in 1985 from Bel-Abbes University, Algeria and the Ph. D degree (amorphous thin films) (1986-1989) in the Faculty of Sciences from Brunel University (UK). He was the head of the Signals and Systems Laboratory (1999-2003) and the head of the Department of Electrical Engineering (2005-2006). He is lecturing the theory of digital signal, systems modeling and identification, random processes and detection (1996-2016) at Mostaganem University, Algeria. He has been involved in some national projects such as forest fire detection, heart rate variability in the LF and HF bands to characterize the autonomous nervous system, and study and application of random processes. Currently, he is focusing on extracting useful information from mono-dimensional and multidimensional signals as well as on detection using the inverse of the belonging probability technique of a rare event to a Gaussian realization, as part of a national project. Further research interests are in real signals and models geometric representation based on Gram-Schmidt orthogonalization concept, as well as using a relative geometric space of observation. E-mail: benabdellah.yagoubi@univ-mosta.dz

Abstract:

In this paper, we present maintenance cost optimization techniques under reliability constraints based on evolutionary algorithms for complex systems in the context of the Reliability-Centered-Maintenance (RCM). Our main goal is to find the best maintenance policy for this system by minimizing the maintenance cost function of the system, under the constraint of the required reliability for a given period. This policy identifies the optimum times in which the components must perform preventive maintenance (PM). The maintenance cost can be considered as a PM, an unscheduled maintenance (UM) and a replacement maintenance (RM) cost. The PM action is, therefore, considered to have an imperfect effect on the component in this work. The imperfect PM is executed whenever the component reliability reaches a certain threshold. The proposed method allows us to find the reliability threshold $Rthj$for each system component j related to the number n of PM actions performing the RM action on the components in order to minimize the expected total maintenance cost of the system over the mission time$( Tmis$). Therefore, the optimal PM intervals durations obtained for each component $Tij$ (i = 1, 2,$?$, n) correspond to the optimal reliability threshold. In this study, we use the evolutionary algorithm to find the optimal reliability threshold $Rth j$applied on each component j. A comparative study is performed to evaluate the performance of the Lévy-flight firefly (LFA) algorithm and particle swarm optimization (PSO) algorithm in finding the global optimum.