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Fast computation of bounds for two-terminal network reliability

Author

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  • Sebastio, Stefano
  • Trivedi, Kishor S.
  • Wang, Dazhi
  • Yin, Xiaoyan

Abstract

In this paper, an algorithm for the fast computation of network reliability bounds is proposed. The evaluation of the network reliability is an intractable problem for very large networks, and hence approximate solutions based on reliability bounds have assumed importance. The proposed bounds computation algorithm is based on an efficient BDD representation of the reliability graph model and a novel search technique to find important minpaths/mincuts to quickly reduce the gap between the reliability upper and lower bounds. Furthermore, our algorithm allows the control of the gap between the two bounds by controlling the overall execution time. Therefore, a trade-off between prediction accuracy and computational resources can be easily made in our approach. The numerical results are presented for large real example reliability graphs to show the efficacy of our approach.

Suggested Citation

  • Sebastio, Stefano & Trivedi, Kishor S. & Wang, Dazhi & Yin, Xiaoyan, 2014. "Fast computation of bounds for two-terminal network reliability," European Journal of Operational Research, Elsevier, vol. 238(3), pages 810-823.
    • Handle: RePEc:eee:ejores:v:238:y:2014:i:3:p:810-823
    DOI: 10.1016/j.ejor.2014.04.035
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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. Zdravko I. Botev & Pierre L'Ecuyer & Gerardo Rubino & Richard Simard & Bruno Tuffin, 2013. "Static Network Reliability Estimation via Generalized Splitting," INFORMS Journal on Computing, INFORMS, vol. 25(1), pages 56-71, February.
    3. Jane, Chin-Chia & Shen, Wu-Hsien & Laih, Yih-Wenn, 2009. "Practical sequential bounds for approximating two-terminal reliability," European Journal of Operational Research, Elsevier, vol. 195(2), pages 427-441, June.
    4. Jin Y. Yen, 1971. "Finding the K Shortest Loopless Paths in a Network," Management Science, INFORMS, vol. 17(11), pages 712-716, July.
    5. Eugene L. Lawler, 1972. "A Procedure for Computing the K Best Solutions to Discrete Optimization Problems and Its Application to the Shortest Path Problem," Management Science, INFORMS, vol. 18(7), pages 401-405, March.
    6. Héctor Cancela & Pierre L’Ecuyer & Matías Lee & Gerardo Rubino & Bruno Tuffin, 2010. "Analysis and Improvements of Path-based Methods for Monte Carlo Reliability Evaluation of Static Models," Springer Series in Reliability Engineering, in: Javier Faulin & Angel A. Juan & Sebastián Martorell & José-Emmanuel Ramírez-Márquez (ed.), Simulation Methods for Reliability and Availability of Complex Systems, chapter 0, pages 65-84, Springer.
    7. George S. Fishman, 1986. "A Monte Carlo Sampling Plan for Estimating Network Reliability," Operations Research, INFORMS, vol. 34(4), pages 581-594, August.
    8. Joseph C. Hudson & Kailash C. Kapur, 1985. "Reliability Bounds for Multistate Systems with Multistate Components," Operations Research, INFORMS, vol. 33(1), pages 153-160, February.
    9. Hosam M. Aboelfotoh & Charles J. Colbourn, 1989. "Series-Parallel Bounds for the Two-Terminal Reliability Problem," INFORMS Journal on Computing, INFORMS, vol. 1(4), pages 209-222, November.
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    6. Monfared, M.A.S. & Rezazadeh, Masoumeh & Alipour, Zohreh, 2022. "Road networks reliability estimations and optimizations: A Bi-directional bottom-up, top-down approach," Reliability Engineering and System Safety, Elsevier, vol. 222(C).
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