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Reliability of spare routing via intersectional minimal paths within budget and time constraints by simulation

Author

Listed:
  • Yi-Kuei Lin

    (National Chiao Tung University
    Asia University
    China Medical University
    Chaoyang University of Technology)

  • Cheng-Fu Huang

    (Feng Chia University)

  • Chin-Chia Chang

    (National Taiwan University of Science and Technology)

Abstract

A stochastic flow network composed of multistate arcs can be utilized to describe several practical systems such as computer networks, where transmission time taken for sending data to a sink is an important index. Determining a path with minimum transmission time is known as the quickest path problem (QPP). All algorithms addressing the QPP assume that the determined minimal paths (MPs) are disjoint. Further, for the general case of intersectional MPs, if a congestion phenomenon occurs during the transmission process, these algorithms will lead to an incorrect outcome. Moreover, in practical scenarios, as a budget limit is considered, spare routing is applied to consolidate the system. The objective is to develop an algorithm based on Monte Carlo simulations (MCSs) for evaluating the system reliability while considering the congestion phenomenon. The system reliability is the probability that a specific amount of data can be transmitted successfully through multiple MPs under both time and budget constraints. Furthermore, spare routing to increase the system reliability is established in advance to specify the main and spare MPs. Experiments validate the evaluation of system reliability based on MCSs. The credibility and efficiency of the proposed algorithm are also discussed.

Suggested Citation

  • Yi-Kuei Lin & Cheng-Fu Huang & Chin-Chia Chang, 2022. "Reliability of spare routing via intersectional minimal paths within budget and time constraints by simulation," Annals of Operations Research, Springer, vol. 312(1), pages 345-368, May.
    • Handle: RePEc:spr:annopr:v:312:y:2022:i:1:d:10.1007_s10479-020-03923-y
    DOI: 10.1007/s10479-020-03923-y
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    References listed on IDEAS

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