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Reliability of a computer network in case capacity weight varying with arcs, nodes and types of commodity

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  • Lin, Yi-Kuei

Abstract

The computer network can be modeled as a capacitated-flow network. This paper concentrates on a two-commodity capacitated-flow network with three characters: (1) nodes as well as arcs have multiple possible capacities and may fail, (2) each component (arc/node) has both capacity and cost attributes; and (3) the capacity weight varies with arcs, nodes and types of commodity (or named file). We study the possibility that a given quantity of two types of files can be transmitted through this network simultaneously under the budget constraint. Such a possibility is named the system reliability which is a performance index to measure the quality level of supply demand systems such as computer, telecommunication, electric-power transmission and transportation systems. The approach of minimal paths is applied to describe the relationship among flow assignments and capacity vectors. A simple algorithm in terms of minimal paths is proposed to evaluate the system reliability.

Suggested Citation

  • Lin, Yi-Kuei, 2007. "Reliability of a computer network in case capacity weight varying with arcs, nodes and types of commodity," Reliability Engineering and System Safety, Elsevier, vol. 92(5), pages 646-652.
    • Handle: RePEc:eee:reensy:v:92:y:2007:i:5:p:646-652
    DOI: 10.1016/j.ress.2006.02.005
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    References listed on IDEAS

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    1. B. Rothschild & A. Whinston, 1966. "On Two Commodity Network Flows," Operations Research, INFORMS, vol. 14(3), pages 377-387, June.
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    5. J. A. Tomlin, 1966. "Minimum-Cost Multicommodity Network Flows," Operations Research, INFORMS, vol. 14(1), pages 45-51, February.
    6. B. Rothschild & A. Whinston, 1966. "Feasibility of Two Commodity Network Flows," Operations Research, INFORMS, vol. 14(6), pages 1121-1129, December.
    7. Yeh, Wei-Chang, 2005. "A new approach to evaluate reliability of multistate networks under the cost constraint," Omega, Elsevier, vol. 33(3), pages 203-209, June.
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    Cited by:

    1. Niu, Yi-Feng, 2021. "Performance measure of a multi-state flow network under reliability and maintenance cost considerations," Reliability Engineering and System Safety, Elsevier, vol. 215(C).
    2. Lin, Yi-Kuei & Chang, Ping-Chen, 2012. "Evaluate the system reliability for a manufacturing network with reworking actions," Reliability Engineering and System Safety, Elsevier, vol. 106(C), pages 127-137.

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