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Graphical-based reliability evaluation of multiple distinct production lines

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Abstract

This paper proposes a graphical-based methodology to evaluate the performance of a manufacturing system in terms of network model. We focus on a manufacturing system which consists of multiple distinct production lines. A transformation technique is developed to build the manufacturing system as a manufacturing network. In such a manufacturing network, the capacity of each machine is multistate due to failure, partial failure, or maintenance. Thus, this manufacturing network is also regarded as a multistate network. We evaluate the probability that the manufacturing network can meet a given demand, where the probability is referred to as the system reliability. A simple algorithm integrating decomposition technique is proposed to generate the minimal capacity vectors that machines should provide to eventually satisfy demand. The system reliability is derived in terms of such capacity vectors afterwards. A practical application in the context of IC card manufacturing system is utilized to demonstrate the performance evaluation procedure.

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Correspondence to Yi-Kuei Lin.

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This work was supported in part by the National Science Council of Taiwan under Grant No. NSC 99-2221-E-011-066-MY3.

Yi-Kuei Lin is currently a Chair Professor and the Chairman of Industrial Management Department, National Taiwan University of Science and Technology, Taiwan, Republic of China. He received a Bachelor degree in Applied Mathematics Department from National Chiao Tung University, Taiwan. He obtained his Master degree and Ph.D. degree in the Department of Industrial Engineering and Engineering Management at National Tsing Hua University, Taiwan, Republic of China. He has the honor to get the Outstanding Research Awards from National Science Council of Taiwan in 2008 and 2010, respectively. His research interest includes performance evaluation, stochastic network reliability, operations research, and telecommunication management. He has published over 130 papers in refereed journals including European Journal of Operational Research; Computers and Operations Research; Reliability Engineering & System Safety; IEEE Transactions on Reliability; IEEE Transactions on Systems, Man, and Cybernetics—Part A: Systems and Humans; Computers and Mathematics with Applications.

Ping-Chen Chang is currently a Postdoctoral Fellow of Industrial Management Department, National Taiwan University of Science and Technology, Taiwan, Republic of China. He received a Bachelor degree in the Department of Industrial and Business Management from Chang Gung University, Taiwan. He obtained his Master degree in the Department of Industrial Engineering and Management at Yuan Ze University, Taiwan. He obtained the Ph.D. degree in the Department of Industrial Management at National Taiwan University of Science and Technology, Taiwan. He was a recipient of the Best Student Paper Award from the 2011 International Conference on Reliability and Quality in Design (ISSAT). His research interest includes stochastic network reliability, performance evaluation, and operations management.

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Lin, YK., Chang, PC. Graphical-based reliability evaluation of multiple distinct production lines. J. Syst. Sci. Syst. Eng. 22, 73–92 (2013). https://doi.org/10.1007/s11518-013-5208-7

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