Constant Queue Route on a Mesh

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dc.contributor.authorRajasekaran, Sanguthevar
dc.contributor.authorOverholt, Richard
dc.date2023-05-17T01:15:34.000
dc.date.accessioned2023-05-22T12:57:12Z
dc.date.available2023-05-22T12:57:12Z
dc.date.issued1990-11-01
dc.date.submitted2007-08-21T10:33:07-07:00
dc.description.abstractPacket routing is an important problem in parallel computation since a single step of inter-processor communication can be thought of as a packet routing task. In this paper we present an optimal algorithm for packet routing on a mesh-connected computer. Two important criteria for judging a routing algorithm will be 1) its run time, i.e., the number of parallel steps it takes for the last packet to reach its destination, and 2) its queue size, i.e., the maximum number of packets that any node will have to store at any time during routing. We present a 2n - 2 step routing algorithm for an n x n mesh that requires a queue size of only 58. The previous best known result is a routing algorithm with the same time bound but with a queue size of 672. The time bound of 2n - 2 is optimal. A queue size of 672 is rather large for practical use. We believe that the queue size of our algorithm is practical. The improvement in the queue size is possible due to (from among other things) a new 3s + o(s) sorting algorithm for an s x s mesh.
dc.description.commentsUniversity of Pennsylvania Department of Computer and Information Science Technical Report No. MS-CIS-90-25.
dc.identifier.urihttps://repository.upenn.edu/handle/20.500.14332/7453
dc.legacy.articleid1558
dc.legacy.fulltexturlhttps://repository.upenn.edu/cgi/viewcontent.cgi?article=1558&context=cis_reports&unstamped=1
dc.source.issue516
dc.source.journalTechnical Reports (CIS)
dc.source.statuspublished
dc.titleConstant Queue Route on a Mesh
dc.typeReport
digcom.contributor.authorRajasekaran, Sanguthevar
digcom.contributor.authorOverholt, Richard
digcom.identifiercis_reports/516
digcom.identifier.contextkey346832
digcom.identifier.submissionpathcis_reports/516
digcom.typereport
dspace.entity.typePublication
upenn.schoolDepartmentCenterTechnical Reports (CIS)
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