Multistage Off-line Permutation Packet Routing on a Mesh: an Approach with Elementary Mathematics

Various methods have been proposed for off-line permutation packet routing on a mesh. One of the methods is known as multistage routing, in which the first stage is crucial. For the first stage of routing, the previous study normally converts it to a problem of graph theory and proves the existence...

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Bibliographic Details
Main Authors: CHIEW, Kevin, LI, Yingjiu
Format: text
Language:English
Published: Institutional Knowledge at Singapore Management University 2009
Subjects:
Online Access:https://ink.library.smu.edu.sg/sis_research/754
http://dx.doi.org/10.1007/s11390-009-9203-x
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Institution: Singapore Management University
Language: English
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Summary:Various methods have been proposed for off-line permutation packet routing on a mesh. One of the methods is known as multistage routing, in which the first stage is crucial. For the first stage of routing, the previous study normally converts it to a problem of graph theory and proves the existence of solutions. However, there is a lack of simple algorithms to the first stage of routing. This article presents an explicit and simple approach for the first stage of routing based on elementary mathematics.