An efficient sum of disjoint product method for reliability evaluation of stochastic flow networks using d-MPs

Esha Datta () and Neeraj Goyal ()
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Esha Datta: Indian Institute of Technology
Neeraj Goyal: Indian Institute of Technology

International Journal of System Assurance Engineering and Management, 2023, vol. 14, issue 4, No 7, 1228-1246

Abstract: Abstract Stochastic flow network evaluation methods often compute a set of success events as d-MPs and obtain reliability from d-MPs. Both finding d-MPs and obtaining reliability from d-MPs are NP-Hard problems. This work addresses the problem of finding the reliability from d-MPs. In particular, we propose three rules to identify redundant and disjoint d-MPs as well as to disjoint the non-disjointed d-MPs. The non-disjointed d-MPs have shared capacity states which needs to be eliminated while evaluating reliability from the d-MPs. We implemented the proposed method in MATLAB and compared its performance with the existing methods using benchmark networks available in the literature. The experimental results show that the proposed SDP method performs better than the existing methods. This improvement is attributed to avoiding certain redundant computations which are part of the existing methods. We also present some practical applications of the stochastic network reliability analysis.

Keywords: Computer and communication networks; Stochastic flow networks; 2-Terminal reliability; Lower boundary flow vectors; d-MPs; Sum of disjoint products (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s13198-023-01927-y

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