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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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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