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It is capable of optimizing the topology based upon all-terminal reliability (ATR), all-operating terminal reliability (AoTR), or two-terminal reliability (2TR).
In this paper, we first aim to quantify the effects of five recently proposed green routing approaches, namely FGH, GreenTE, MSPF, SSPF, and TLDP, on the following two reliability measures: (i) terminal reliability (TR), and (ii) route reliability (RR).
Analytical results demonstrate that the Pars network outperforms known regular networks, namely ABN, ASEN, EGN, and IEGN in terms of cost, fault-tolerance, terminal reliability, mean time to failure, and permutation capability.
For example, one related, but different, problem is to choose a minimal set of edges over a set of nodes so that the resulting network has at least the prescribed all-pairs terminal reliability; various algorithms including branch-and-bound heuristics [ 27] and genetic algorithms [ 28, 29] have been proposed.
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In a network where links may fail, the connectedness probability is called all-terminal reliability.
The problem under consideration involves multi-state two-terminal reliability (M2TR) computation.
Although developed for all-terminal reliability optimization, the algorithm can be easily applied in other resource-constrained allocation problems.
The design problem is to find a network topology with minimum cost such that all-terminal reliability is not less than a given level of reliability.
Jan et al. have proposed an algorithm to find the optimal selection of edges in networks, with minimum cost, under all-terminal reliability is not less than a given level.
Binary capacitated two-terminal reliability at demand level d (2TRd) is defined as the probability that network capacity, generated by binary capacitated components, between specified source and sink nodes is greater than or equal to a demand of d units.
Then a practical bounding algorithm, which is indispensable for large networks, is presented by modifying the exact algorithm for obtaining sequential lower and upper bounds on two-terminal reliability.
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