Guoliang.Xue@asu.edu

Lecture 03: More Approximations for QoS RoutingLecture 03: More Approximations for QoS Routing

Guoliang (Larry) Xue

Department of CSE

Arizona State University

http://optimization.asu.edu/~xue

14May2008

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Outline of the LectureOutline of the Lecture Approximation for OMCP Approximation for DMCPApproximation for DMCP Approximation for SMCPApproximation for SMCP ConclusionsConclusions

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Approximation Scheme for OMCPApproximation Scheme for OMCP

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Approximation Scheme for OMCPApproximation Scheme for OMCP

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Approximation Scheme for OMCPApproximation Scheme for OMCP

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Approximation Scheme for OMCPApproximation Scheme for OMCP

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Approximation Scheme for OMCPApproximation Scheme for OMCP

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Approximation Scheme for OMCPApproximation Scheme for OMCP

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Approximation Scheme for OMCPApproximation Scheme for OMCP

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Approximation Scheme for OMCPApproximation Scheme for OMCP

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Approximation Scheme for OMCPApproximation Scheme for OMCP

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Approximation Scheme for OMCPApproximation Scheme for OMCP

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Approximation Scheme for OMCPApproximation Scheme for OMCP

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Approximation Scheme for OMCPApproximation Scheme for OMCP

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Approximation Scheme for OMCPApproximation Scheme for OMCP

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Approximation Scheme for OMCPApproximation Scheme for OMCP

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Approximation Scheme for OMCPApproximation Scheme for OMCP

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Approximation Scheme for OMCPApproximation Scheme for OMCP

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Approximation Scheme for OMCPApproximation Scheme for OMCP

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Approximation Scheme for OMCPApproximation Scheme for OMCP

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Approximation Scheme for OMCPApproximation Scheme for OMCP

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Outline of the LectureOutline of the Lecture Approximation for OMCP Approximation for DMCPApproximation for DMCP Approximation for SMCPApproximation for SMCP ConclusionsConclusions

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Approximation Scheme for DMCPApproximation Scheme for DMCP

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Approximation Scheme for DMCPApproximation Scheme for DMCP

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Approximation Scheme for DMCPApproximation Scheme for DMCP

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Approximation Scheme for DMCPApproximation Scheme for DMCP

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Approximation Scheme for DMCPApproximation Scheme for DMCP

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Approximation Scheme for DMCPApproximation Scheme for DMCP

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Approximation Scheme for DMCPApproximation Scheme for DMCP

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Outline of the LectureOutline of the Lecture Approximation for SMCP Approximation for DMCPApproximation for DMCP Approximation for SMCPApproximation for SMCP ConclusionsConclusions

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Approximations for SMCPApproximations for SMCP Let us try to design good approximations to SMCP

Initial pair of LB and UB Pseudo-polynomial time algorithm Scaling, rounding, and approximate testing FPTAS

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Outline of the LectureOutline of the Lecture Approximation for SMCP Approximation for DMCPApproximation for DMCP Approximation for SMCPApproximation for SMCP ConclusionsConclusions

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ConclusionsConclusions We have used DCLC to produce a good

approximation to OMCP We have then designed an FPTAS for OMCP The same approach can be used for SMCP