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Maximum-shortest-path (MSP) is not optimal for a general N N torus
Journal article

Maximum-shortest-path (MSP) is not optimal for a general N N torus

Li Sheng and Jie Wu
IEEE transactions on reliability, v 52(1)
01 Jan 2003

Abstract

Networks Approximation Mathematical analysis Shortest-path problems Hypercubes Computer networks Routing (telecommunications) Optimization
A shortest-path routing is optimal if it maximizes the probability of reaching the destination from a given source, assuming that each link in the system has a given failure probability. An approximation for the shortest-path routing policy, maximum-shortest-path (MSP) routing was proposed by Wu (see ibid., vol.48, no.3, p.247-55, 1999). Wu shows that: MSP is optimal in the mesh and hypercube networks; MSP is at least suboptimal in the torus network; MSP is optimal for 6 6 and 8 8 tori; and conjectured that MSP is optimal for 2-D tori in general. This short paper shows that, contrary to the claims by Wu, MSP is not optimal for a general N N torus-specifically, MSP is not optimal for a 12 12 torus, and its optimal routing depends on the success probability.

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Computer Science, Hardware & Architecture
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