With a one-packet buffer at each server, no-regret learning queues keep a strategic queueing system stable when total service capacity exceeds three times total arrival rate, and at least double capacity is necessary.
Balseiro and Yonatan Gur
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Learning in Strategic Queuing Systems with Small Buffers
With a one-packet buffer at each server, no-regret learning queues keep a strategic queueing system stable when total service capacity exceeds three times total arrival rate, and at least double capacity is necessary.