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Network Reliability Monte Carlo With Nodes Subject to Failure

Volume 10, Number 2, March 2014 - Paper 05 - pp. 163-172

ILYA GERTSBAKH1, YOSEPH SHPUNGIN2, R. VAISMAN3

1 Department of Mathematics, Ben-Gurion Universit, P. O. Box 653, Beer-Sheva, 84105, ISRAEL
2 Software Engineering Department, Sami Shamoon College of Engineering, Beer Sheva 84100 ISRAEL
3 Faculty of Industrial Engineering and Management, Technion, Israel Institute of Technology, Haifa, ISRAEL

(Received on June 04, 2013, revised on November 15, 2013)

Abstract:

We extend the network reliability estimation methodology based on evolution (creation) Monte Carlo into four directions: (i) introducing unreliable nodes; (ii) adjusting the evolution process with merging to "closure" operation suitable for unreliable nodes; (iii) in case of numerical instability in computing convolutions, we suggest a special Monte Carlo algorithm based on importance sampling; (iv) we extend the traditional network terminal connectivity criterion to criteria describing network disintegration into a critical number of clusters, or the critical size of the largest component.

 

References: 11

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