Lower bound and optimality in switched networks
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We consider a queueing network in which there are constraints on which queues may be served simultaneously. Such networks, called ldquoswitched networksrdquo [3] can be used to model input-queued switches, wireless networks, or bandwidth sharing in the Internet. The scheduling algorithm for such a network specifies which queues to serve at any point in time. The performance of scheduling algorithm is determined by the induced net queue-size. The question of designing optimal scheduling algorithm with this performance metric has been of great recent interest (e.g. [1, 3, 4]). An important step in this quest is that of finding fundamental limitations of scheduling algorithms in terms of the induced queuesize. In this paper, we present a novel technique to characterize lower bound on average queue-size induced by any algorithm. Through an example, we establish the tightness of this technique for a class of problems.
[1] Leandros Tassiulas,et al. Stability properties of constrained queueing systems and scheduling policies for maximum throughput in multihop radio networks , 1992 .
[2] A. Stolyar. MaxWeight scheduling in a generalized switch: State space collapse and workload minimization in heavy traffic , 2004 .
[3] Eleftheria Athanasopoulou,et al. Optimal Scheduling Policies in Small Generalized Switches , 2009, IEEE INFOCOM 2009.