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Consecutive k and Related Models—A Survey

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Stochastic Models in Reliability, Network Security and System Safety (JHC80 2019)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1102))

Abstract

As one of the most popular reliability models, the previous several decades have witnessed remarkable developments and extensive applications of consecutive k systems, and a number of related models have been developed. In the paper, a summary of the state of the arts in the field is provided. After a brief introduction of conventional consecutive k systems, we focus on variants of the consecutive k systems by considering failure criteria (single failure criterion and multiple failure criteria), geometric structure of the system, states of components and the system, weight of each component, dependency of components. Finally, several future challenges deserving further studies are highlighted.

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Acknowledgments

The work was supported by the National Natural Science Foundation of China under Grant (71631001) and Scientific Research Program Funded by Shaanxi Provincial Education Department (18JK0877).

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Authors and Affiliations

  1. School of Management and Economics, Beijing Institute of Technology, Beijing, China

    Lirong Cui & Qinglai Dong

  2. School of Mathematics and Computer Science, Yan’an University, Yan’an, Shaanxi, China

    Qinglai Dong

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  1. Lirong Cui
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  2. Qinglai Dong
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Correspondence to Lirong Cui .

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  1. School of Economics and Management, Beijing University of Technology, Beijing, China

    Quan-Lin Li

  2. School of Management Science and Engineering, Central University of Finance and Economics, Beijing, China

    Jinting Wang

  3. School of Economics and Management, Beijing University of Technology, Beijing, China

    Hai-Bo Yu

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Cui, L., Dong, Q. (2019). Consecutive k and Related Models—A Survey. In: Li, QL., Wang, J., Yu, HB. (eds) Stochastic Models in Reliability, Network Security and System Safety. JHC80 2019. Communications in Computer and Information Science, vol 1102. Springer, Singapore. https://doi.org/10.1007/978-981-15-0864-6_1

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