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Reports (Research Report) Year : 2002

Optimal Routing in Deterministic Queues in Tandem

Emmanuel Hyon
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In this paper we address the problem of routing a stream of customers in two parallel networks of queues in tandem with deterministic service times in order to minimize the average response time of the whole system. We show that the optimal routing is a Sturmian word which density depends on the decomposition in continuous fraction of the maximum service time on each route. In order to do this we study the output process of deterministic queues when the input process is Sturmian.
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Dates and versions

inria-00072195 , version 1 (23-05-2006)


  • HAL Id : inria-00072195 , version 1


Bruno Gaujal, Emmanuel Hyon. Optimal Routing in Deterministic Queues in Tandem. [Research Report] RR-4393, INRIA. 2002. ⟨inria-00072195⟩
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