Reliability analysis of k-out-of-n: F balanced systems with multiple functional sectors |
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| Affiliation: | 1. School of Management and Economics, Beijing Institute of Technology, Beijing, China;2. Business School, Beijing Technology and Business University, Beijing, China;1. Center for System Reliability and Safety, University of Electronic Science and Technology of China, Chengdu, Sichuan, 611731, PR China;2. The Israel Electric Corporation, Haifa 31000, Israel;3. School of Mechanical and Electrical Engineering, University of Electronic Science and Technology of China;4. University of Massachusetts, Dartmouth, MA 02747, USA;1. School of Science, Yanshan University, Qinhuangdao, Hebei 066004, PR China;2. College of Mathematical Science, Tianjin Normal University, Tianjin 300387, PR China;1. School of Management & Economics, Beijing Institute of Technology, Beijing, China;2. School of Economics & Management, Zhejiang Ocean University, Zhejiang, China |
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| Abstract: | In this paper, new concepts of balanced systems are proposed based on real engineering problems. The system under study consists of l groups and each group has n functional sectors. The conception of balance difference is proposed for the first time. It is assumed that unbalanced systems are rebalanced by either forcing down some working units into standby or resuming some standby units into operation. In addition, a case that the forced-down units are subject to failure during standby is studied in this paper. Based on different balanced cases and system failure criteria, two reliability models for balanced systems are developed. The proposed systems have widespread applications in aerospace and military industries, such as wing systems of airplane and unmanned aerial vehicles with balanced engine systems. Markov process imbedding method is used to analyze the number of working units in each sector for each model. Finite Markov chain imbedding approach and universal generating function technique are used to obtain the system reliability for different models. Several case studies are finally presented to demonstrate the new models. |
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