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Evaluating the transmission distance-constrained reliability for a multi-state flow network

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  • Xu, Xiu-Zhen
  • Zhou, Run-Hui
  • Wu, Guo-Lin
  • Niu, Yi-Feng

Abstract

Reliability features in judging the performance of various technical networks (e.g., logistics network and communication network) that can be deemed as a multi-state flow network (MFN). The existing studies dedicate to computing the reliability of an MFN without transmission distance constraint. However, transmission distance is a major concern in some practical applications. For example, there is a strict limit on the transmission distance in a wireless communication network so as to ensure the successful transmission of packets within the allowed delay. This paper, thus, concentrates on the transmission distance-constrained reliability of an MFN, denoting the probability that at least d units of flow can be transmitted from the source to the sink with the transmission distance no larger than a predetermined value D. To reduce the computational complexity, a universal approach is presented to identify and remove redundant edges with no contribution to network reliability. Moreover, a novel model is developed to seek all (D,d)−minimalpaths((D,d)−MPs) based on which an efficient algorithm is put forward to calculate the transmission distance-constrained reliability of an MFN. A large example is discussed to explore the influence of transmission distance on MFN reliability, and a practical case study is provided to demonstrate the utility of the proposed algorithm.

Suggested Citation

  • Xu, Xiu-Zhen & Zhou, Run-Hui & Wu, Guo-Lin & Niu, Yi-Feng, 2024. "Evaluating the transmission distance-constrained reliability for a multi-state flow network," Reliability Engineering and System Safety, Elsevier, vol. 244(C).
    • Handle: RePEc:eee:reensy:v:244:y:2024:i:c:s0951832023008141
    DOI: 10.1016/j.ress.2023.109900
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    References listed on IDEAS

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