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arXiv · 1112.2389

Stability of the Greedy Algorithm on the Circle

Leonardo T. Rolla·Vladas Sidoravicius
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Abstract

We consider a single-server system with service stations in each point of the circle. Customers arrive after exponential times at uniformly-distributed locations. The server moves at finite speed and adopts a greedy routing mechanism. It was conjectured by Coffman and Gilbert in~1987 that the service rate exceeding the arrival rate is a sufficient condition for the system to be positive recurrent, for any value of the speed. In this paper we show that the conjecture holds true.

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Leonardo T. Rolla, Vladas Sidoravicius. 2018-09-07. Stability of the Greedy Algorithm on the Circle. https://doi.org/10.1002/cpa.21712

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