Fluid limit of a heavily loaded EDF queue with impatient customers

Details Fluid limit of a heavily loaded EDF queue with impatient customers Fluid limit of a heavily loaded EDF queue with impatient customers

2005-12-30

arxiv.org/abs/math/0512660v2

Mathematics

Probability

Scientific paper

In this paper we present the fluid limit of an heavily loaded Earliest Deadline First queue with impatient customers, represented by a measure-valued process keeping track of residual time-credits of lost and waiting customers. This fluid limit is the solution of an integrated transport equation. We then use this fluid limit to derive fluid approximations of the processes counting the number of waiting and already lost customers.

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