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International Conference of Celebrating Professor Jinhua Cao's 80th Birthday

JHC80 2019: Stochastic Models in Reliability, Network Security and System Safety pp 259–269Cite as

Reliability of a Dual Linear Consecutive System with Three Failure Modes

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

Abstract

Consecutive systems have applications in the field of telecommunication, transportation, illumination, heating, etc. However, all the existing works just studied the reliability of a single consecutive system. The typical studied consecutive systems include linear/circular consecutive k-out-of-n systems, linear sliding window systems, linear multi-state consecutively connected systems, etc. These models are restricted to the cases where all the system components are arranged on a line or on a circle. In practice, a system may consist of some components arranged on two parallel lines, instead of a single line. An example is the system consisting of road lights at both sides of the highway. In this chapter, a reliability model for system consisting of two linear parallel consecutive subsystems is proposed where three failure modes are considered: (1) the subsystem 1 has at least k1 consecutive failed components; (2) the subsystem 2 has at least k2 consecutive failed components; (3) the system has at least m consecutive failed pairs of components. An iterative approach is proposed to evaluate the reliability of such a system. Numerical examples are presented to illustrate the applications.

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Author information

Authors and Affiliations

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

    Rui Peng

  2. School of Management, Xi’an Jiaotong University, Xian, China

    Di Wu

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

    Kaiye Gao

Authors
  1. Rui Peng
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  2. Di Wu
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  3. Kaiye Gao
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Correspondence to Rui Peng .

Editor information

Editors and Affiliations

  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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Peng, R., Wu, D., Gao, K. (2019). Reliability of a Dual Linear Consecutive System with Three Failure Modes. 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_12

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  • DOI: https://doi.org/10.1007/978-981-15-0864-6_12

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-15-0863-9

  • Online ISBN: 978-981-15-0864-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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