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Integrated production and preventive maintenance scheduling for a single machine with failure uncertainty
Affiliation:1. School of Mechanical Engineering, Tongji University, Shanghai 201804, PR China;2. School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai 200240, PR China;1. College of Mechanical and Electrical Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;2. Departamento de Sistemas Informáticos y Computación, Universitat Politecnica de Valencia, Camino de Vera s/n, 46071 Valencia, Spain;1. Department of Industrial Systems Engineering and Product Design, Faculty of Engineering, Ghent University (UGent), Technologiepark 903, B-9052 Zwijnaarde, Belgium;2. Industrial Engineering and Production Laboratory, National School of Engineering, Metz, France;1. Department of Industrial Engineering, Faculty of Engineering, University of Kashan, Kashan, Iran;2. Department of Industrial Engineering, Faculty of Engineering, Tarbiat Modares University, Tehran, Iran;1. Maintenance Department, Iranian Oil Pipeline and Telecommunication Company (IOPTC), Mashhad, Iran;2. Department of Mechanical Engineering, Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad, Iran;3. Department of Statistics, School of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran
Abstract:This paper addresses the problem of finding a robust and stable schedule for a single machine with availability constraints. The machine suffers unexpected breakdowns and follows the Weibull failure function. A joint model for integrating run-based preventive maintenance (PM) into the production scheduling problem is proposed, in which the sequence of jobs, the PM times and the planned completion times of jobs are proactively determined simultaneously. Aiming at optimizing the bi-objective of system robustness and stability, a genetic algorithm based on the properties of the optimal schedule is proposed. The experimental results demonstrate that the proposed algorithm is efficient and effective under practical problem sizes. In addition, the impact of degree of uncertainty on the performance and the tradeoff between robustness and stability are explored in detail.
Keywords:Single machine scheduling  Preventive maintenance  Machine reliability  Proactive
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