On tracking the behavior of an output-queued switch using an input-queued switch

Authors:
Amir Gourgy;Ted H. Szymanski;Douglas G. Down
Affiliations:
Research in Motion, Inc., Waterloo, ON, Canada and McMaster University, Hamilton, ON, Canada;McMaster University, Hamilton, ON, Canada;McMaster University, Hamilton, ON, Canada
Venue:
IEEE/ACM Transactions on Networking (TON)
Year:
2009

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Abstract

We address the problem of fair scheduling of packets in Internet routers with input-queued (IQ) switches and unity speedup. Scheduling in IQ switches is formulated as tracking the behavior of an output-queued (OQ) switch that provides optimal performance. We present the notion of "lag" as a performance metric that measures the difference between a packet's departure time in an IQ switch over that provided by an OQ switch. We prove that per-packet mean lag is bounded for a maximum weight-matching scheduling policy that uses lag values for its weights and derive a bound on the mean lag value using a Lyapunov function technique. Furthermore, we propose a simple heuristic tracking scheduling policy and evaluate its performance by simulation.