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N ETWORK -C ODING M ULTICAST N ETWORKS W ITH Q O S G UARANTEES Abdullah Şahin Hasan Saygın Arkan 10.01.2010

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IntroductionIntroduction 1 BackgroundBackground 2 Unicast vs. MulticastUnicast vs. Multicast 3 Numerical ResultsNumerical Results 4 ConclusionConclusion 5 Outline

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What we are going to present …

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Define The Problem …

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Solve for Unicast

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Convert to Multicast

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I NTRODUCTION

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Introduction “Network-Coding Multicast Networks With QoS Guarantees” – Xuan, Y.: Lea, C.-T. – IEEE/ACM Transactions on Networking – 30 August 2010 Related Work Terms – QoS, Network Coding, unicast, multicast…

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U NICAST & M ULTICAST C ONGESSION

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Problem Definition

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Internal Rooter Edge Router Edge Rouger Edge Router Egde Router Unicast Data Packet

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Multicast Internal Rooter Edge Router Edge Rouger Edge Router Egde Router Data Packet

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Unicast Solution t ij = traffic rate from i edge to j edge α i = ingress traffic & β i = egress traffic (α i, β i ) = (Θ α i ’, Θ β i ’ ) Task is maximizing Θ Edge Router α i = ingress traffic β i = egress traffic

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Unicast Solution Σ t ij < α i ’ Σ t ij < β i ’ Not Applicable on Multicast – α = β for unicast, but not for multicast Edge Router

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Multicast Solution G = multicast edge group = { s g, D(g), t g } source, destination set, data rate Binary Vectors: ϒ g (i) = 1, if i = s g δ g (j) = 1, if j € D(g) 0, otherwise0, otherwise

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Multicast Solution Σ ϒ g (i). t g < α i ’ - ingress traffic Σ δ g (j). t g < β i ’ - egress traffic t ij = Σ (δ g (j). ϒ g (i). t g )

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Optimal Routing i j x ij e

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Optimal Routing

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For IP networks – Calculation on weights MPLS-Type Explicit Routing Networks – Arbitrarily chosen nodes, and calculation of max loaded link

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N UMERICAL R ESULTS

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Numerical Results Constraint-Based Routing Approach Non-Blocking Based Approach – 15 Nodes, 62 directed links, capacity of 300. – 10 consecutive rejects = fully loaded – Number of receivers per multicast flow is random (binomial distribution [2, N-1], N is total edge

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Numerical Results Nonblocking Multicast Networks b/a ratio, average fan-out = 3, 15 edge nodes

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Numerical Results Nonblocking Multicast Networks b/a ratio, average fan-out = 4, 15 edge nodes

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Numerical Results Nonblocking vs CBR 5 edge nodes, average fan-out = 3

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Numerical Results Nonblocking vs CBR 15 edge nodes, average fan-out = 3

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Numerical Results Nonblocking vs CBR 15 edge nodes, average fan-out = 4

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Conclusion Better to have admission control at the edge, NOT inside it! Non-Blocking removes that need Main Problem – low throughput Optimal Paths in Unicast = Optimal Paths in Multicast Nonblocking with Network Coding

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Q UESTIONS ?

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