A combinatorial analysis of distance reliability in star network
This paper addresses a constrained two-terminal reliability measure referred to as distance reliability (DR) between the source node u and the destination node I with the shortest distance, in an n-dimensional star network, Sn. The shortest distance restriction guarantees the optimal communication delay between processors and high link/node utilization across the network. This paper uses a combinatorial approach by limiting the number of node, link and node/link failures. For each failure model, two different cases depending on the relative positions of u and I, are analyzed to compute DR. Furthermore, DR for the antipodal communication, where every node must communicate with its antipode, is investigated as a special case. For this case, lower bound on DR of those disjoint paths is also derived.
Computer Engineering | Digital Communications and Networking | Electrical and Computer Engineering | Electrical and Electronics | Materials Science and Engineering | Power and Energy | Signal Processing | Structural Materials | Systems and Communications
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A combinatorial analysis of distance reliability in star network.
21st International Parallel and Distributed Processing Symposium, IPDPS 2007