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A multi-objective approach for solving a replacement policy problem for equipment subject to imperfect repairs
Institution:1. CEERMA - Center for Risk Analysis, Reliability and Environmental Modeling, Universidade Federal de Pernambuco, Recife-PE, Brazil;2. Department of Production Engineering, Universidade Federal de Pernambuco, Rua Acadêmico Hélio Ramos, s/n, Cidade Universitária, CEP: 50740-530 Recife-PE, Brazil;3. Mechanical Engineering Department, University of Chile, Santiago, Chile;4. Center for Risk and Reliability, Mechanical Engineering Department, University of Maryland, College Park, MD, USA;1. College of Computer Science and Artificial Intelligence, Wenzhou University, Wenzhou, Zhejiang, 325035, China;2. School of Surveying and Geospatial Engineering, College of Engineering, University of Tehran, Tehran, Iran;3. Department of Computer Science, School of Computing, National University of Singapore, Singapore, Singapore;4. Institute of Research and Development, Duy Tan University, Da Nang 550000, Vietnam;1. Department of Mathematics, Sarala Birla University, Ranchi-835103, India;2. Department of Mathematics, Birla Institute of Technology, Mesra-835215, India;1. Department of Engineering, University of Messina, Villaggio S. Agata, 98166 Messina, Italy;2. Department of Civil, Energy, Environmental and Materials Engineering (DICEAM), University of Reggio Calabria, Via Graziella, 89124 Reggio Calabria, Italy;1. School of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing, Jiangsu 210023, China;2. School of Science, Nanjing University of Science and Technology, Nanjing, Jiangsu 210094, China;3. School of Computer Engineering, Jinling Institute of Technology, Nanjing, Jiangsu 211169, China;1. State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, China;2. Zienkiewicz Centre for Computational Engineering, Swansea University, UK
Abstract:This paper proposes a multi-objective approach to model a replacement policy problem applicable to equipment with a predetermined period of use (a planning horizon), which may undergo critical and non-critical failures. Corrective replacements and imperfect repairs are taken to restore the system to operation respectively when critical and non-critical failures occur. Generalized Renewal Process (GRP) is used to model imperfect repairs. The proposed model supports decisions on preventive replacement intervals and the number of spare parts purchased at the beginning of the planning horizon. A Multi-Objective Genetic Algorithm (MOGA) coupled with discrete event simulation (DES) is proposed to provide a set of solutions (Pareto-optimum set) committed to the different objectives of a maintenance manager in the face of a replacement policy problem, that is, maintenance cost, rate of occurrence of failures, unavailability, and investment on spare parts. The proposed MOGA is validated by an application example against the results obtained via the exhaustive approach. Moreover, examples are presented to evaluate the behavior of objective functions on Pareto set (trade-off analysis) and the impact of the repair effectiveness on the decision making.
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