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Sum of disjoint product approach for reliability evaluation of stochastic flow networks

Author

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  • Esha Datta

    (Indian Institute of Technology Kharagpur)

  • Neeraj Kumar Goyal

    (Indian Institute of Technology Kharagpur)

Abstract

Computer and telecommunication networks are stochastic in nature, as each node and arc may have multiple capacity states besides complete failure. Various two-terminal reliability estimation algorithms for such stochastic flow networks are available in literature. These algorithms generate d-minimal cuts from minimal cut-sets of the network, where d is required demand. Different techniques are available in literature to evaluate exact reliability from such d-minimal cuts such as the recursive inclusion–exclusion method. The recursive inclusion–exclusion method has certain redundant computations while evaluating network reliability. This paper proposes a sum of disjoint products technique to minimize redundant computations in exact reliability computation from flow vectors. MATLAB simulation is performed to evaluate the performance of the proposed method and compare it with the existing methods for benchmark networks available in literature. Simulation results show that the proposed method require lesser computational efforts and memory.

Suggested Citation

  • Esha Datta & Neeraj Kumar Goyal, 2017. "Sum of disjoint product approach for reliability evaluation of stochastic flow networks," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 8(2), pages 1734-1749, November.
    • Handle: RePEc:spr:ijsaem:v:8:y:2017:i:2:d:10.1007_s13198-017-0657-x
    DOI: 10.1007/s13198-017-0657-x
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    References listed on IDEAS

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    1. Jane, Chin-Chia & Yuan, John, 2001. "A sum of disjoint products algorithm for reliability evaluation of flow networks," European Journal of Operational Research, Elsevier, vol. 131(3), pages 664-675, June.
    2. Lin, Yi-Kuei, 2006. "Evaluate the performance of a stochastic-flow network with cost attribute in terms of minimal cuts," Reliability Engineering and System Safety, Elsevier, vol. 91(5), pages 539-545.
    3. Michael O. Ball & J. Scott Provan, 1988. "Disjoint Products and Efficient Computation of Reliability," Operations Research, INFORMS, vol. 36(5), pages 703-715, October.
    4. Yeh, Wei-Chang, 2007. "An improved sum-of-disjoint-products technique for the symbolic network reliability analysis with known minimal paths," Reliability Engineering and System Safety, Elsevier, vol. 92(2), pages 260-268.
    5. Yan, Zhou & Qian, Meng, 2007. "Improving efficiency of solving d-MC problem in stochastic-flow network," Reliability Engineering and System Safety, Elsevier, vol. 92(1), pages 30-39.
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    Citations

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    Cited by:

    1. Esha Datta & Neeraj Kumar Goyal, 2019. "Evaluation of stochastic flow networks susceptible to demand requirements between multiple sources and multiple destinations," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 10(5), pages 1302-1327, October.
    2. Schäfer, Lukas & García, Sergio & Srithammavanh, Vassili, 2018. "Simplification of inclusion–exclusion on intersections of unions with application to network systems reliability," Reliability Engineering and System Safety, Elsevier, vol. 173(C), pages 23-33.
    3. Esha Datta & Neeraj Goyal, 2023. "An efficient sum of disjoint product method for reliability evaluation of stochastic flow networks using d-MPs," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 14(4), pages 1228-1246, August.
    4. Huang, Cheng-Fu & Huang, Ding-Hsiang & Lin, Yi-Kuei, 2022. "Network reliability evaluation for multi-state computing networks considering demand as the non-integer type," Reliability Engineering and System Safety, Elsevier, vol. 219(C).

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