Achieving stability in networks of input-queued switches
Andrews, M.; Zhang, L.
Networking, IEEE/ACM Transactions on
Volume 11, Issue 5, Oct. 2003 Page(s): 848 - 857
Digital Object Identifier   10.1109/TNET.2003.818186
Summary: Research has generated many interesting results on scheduling input-queued switches. However, most of this work focuses on a single switch in isolation. We study the problem of scheduling a network of input-queued switches. We consider the longest-queue-first and longest-port-first scheduling policies that are stable for a single switch, and show that they can be unstable even for a fixed traffic pattern in a simple network of eight input-queued switches. Moreover, this result holds regardless of how the traffic sharing the same port-pair is scheduled at each switch. On the positive side, we present a policy, longest-in-network, that is stable in networks of input-queued switches. This result holds even if the traffic pattern is allowed to change over time.

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