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Summary: Optimal Policy for Multi-Class Scheduling in a
Single Server Queue
Natalia Osipova
INRIA Sophia Antipolis, France,
E-mail:
Natalia.Osipova@ymail.com
Urtzi Ayesta
LAAS-CNRS, France,
BCAM, Zamudio, Spain,
Email: urtzi@laas.fr
Konstantin Avrachenkov
INRIA Sophia Antipolis, France,
E-mail:
K.Avrachenkov@sophia.inria.fr
Abstract--In this paper we apply the Gittins optimality result
to characterize the optimal scheduling discipline in a multi-class
M/G/1 queue. We apply the general result to several cases of
practical interest where the service time distributions belong to
the set of decreasing hazard rate distributions, like Pareto or
hyper-exponential. When there is only one class it is known
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