Achieving 100% throughput for multicast traffic in input-queued switches

A general approach of designing input-queued multicast switch is to employ multicast switch fabric, where packets can be replicated inside the switch fabric. As compared with unicast switch fabric, the achievable traffic rate region of a switch can be increased, but it is still less than the admissible traffic rate region. In other words, achieving 100% throughput for any admissible multicast traffic pattern is not possible. In this paper, we first revisit the fundamental problems faced by input-queued switch in supporting multicast traffic. We then argue that multicast switch fabric is not necessary if a load-balanced approach is followed. Accordingly, an existing load-balanced two-stage switch architecture [12], consisting of unicast switch fabrics, can be adopted to provide 100% throughput for any admissible multicast traffic pattern. Since the two-stage switch requires no speedup in both switch fabric and packet buffers, we consider it a two-stage input-queued switch. It can be seen that its implementation complexity is much lower than conventional (single-stage) input-queued multicast switches. As compared with the work in [12], our approach is more systematic and we propose a more effective load balancing mechanism. © 2011 IEEE.link_to_subscribed_fulltextProceedings of the IEEE Global Telecommunications Conference (GLOBECOM 2011), Houston, TX, USA, 5-9 December 201

Network Coding in a Multicast Switch

We consider the problem of serving multicast flows in a crossbar switch. We show that linear network coding across packets of a flow can sustain traffic patterns that cannot be served if network coding were not allowed. Thus, network coding leads to a larger rate region in a multicast crossbar switch. We demonstrate a traffic pattern which requires a switch speedup if coding is not allowed, whereas, with coding the speedup requirement is eliminated completely. In addition to throughput benefits, coding simplifies the characterization of the rate region. We give a graph-theoretic characterization of the rate region with fanout splitting and intra-flow coding, in terms of the stable set polytope of the 'enhanced conflict graph' of the traffic pattern. Such a formulation is not known in the case of fanout splitting without coding. We show that computing the offline schedule (i.e. using prior knowledge of the flow arrival rates) can be reduced to certain graph coloring problems. Finally, we propose online algorithms (i.e. using only the current queue occupancy information) for multicast scheduling based on our graph-theoretic formulation. In particular, we show that a maximum weighted stable set algorithm stabilizes the queues for all rates within the rate region.Comment: 9 pages, submitted to IEEE INFOCOM 200

A Framework for Differential Frame-Based Matching Algorithms in Input-Queued Switches

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On the Stability of Isolated and Interconnected Input-Queued Switches under Multiclass Traffic

In this correspondence, we discuss the stability of scheduling algorithms for input-queueing (IQ) and combined input/output queueing (CIOQ) packet switches. First, we show that a wide class of IQ schedulers operating on multiple traffic classes can achieve 100 % throughput. Then, we address the problem of the maximum throughput achievable in a network of interconnected IQ switches and CIOQ switches loaded by multiclass traffic, and we devise some simple scheduling policies that guarantee 100 % throughput. Both the Lyapunov function methodology and the fluid modeling approach are used to obtain our results

Network Coding for Speedup in Switches

We present a graph theoretic upper bound on speedup needed to achieve 100% throughput in a multicast switch using network coding. By bounding speedup, we show the equivalence between network coding and speedup in multicast switches - i.e. network coding, which is usually implemented using software, can in many cases substitute speedup, which is often achieved by adding extra switch fabrics. This bound is based on an approach to network coding problems called the "enhanced conflict graph". We show that the "imperfection ratio" of the enhanced conflict graph gives an upper bound on speedup. In particular, we apply this result to K-by-N switches with traffic patterns consisting of unicasts and broadcasts only to obtain an upper bound of min{(2K-1)/K, 2N/(N+1)}.Comment: 5 pages, 4 figures, IEEE ISIT 200