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A priority multi-component system with spares
Authors:S Kalpakam  MA Shahul Hameed  R Natarajan  
Affiliation:1. Department of Industrial Engineering, Faculty of Engineering, Kharazmi University, Tehran, Iran;2. Department of Energy, Politecnico di Milano, Milano, Italy;3. MINES ParisTech/PSL Université Paris, Centre de Recherche sur les Risques et les Crises (CRC), France;4. Department of Nuclear Engineering, Kyung Hee University, Republic of Korea;1. Department of Industrial Engineering, Malek Ashtar University of Technology, Isfahan, Iran;2. Department of Industrial Engineering, Faculty of Engineering, Kharazmi University, Tehran, Iran;3. Department of Industrial and Systems Engineering, Rutgers University, Piscataway, NJ, USA;1. Northwest Institute of Mechanical and Electrical Engineering, Xianyang, China;2. Department of Automation, University of Science and Technology of China, Hefei, China;1. Department of Industrial Engineering, Faculty of Engineering, Kharazmi University, Tehran, Iran;2. Department of Industrial and Systems Engineering, Isfahan University of Technology, Isfahan, 84156-83111, Iran
Abstract:A system with n similar components in series with constant failure rates and m spares in warm standby supported by a single repair facility is studied. The repair time distributions of on-line and standby failures are taken to be different and arbitrary. Two models, one with pre-emptive repeat priority and another with non-pre-emptive priority are discussed. Equations for the reliability and availability functions are obtained for both cases and earlier results are recovered as special cases of the non-pre-emptive model.
Keywords:
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