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Bounds on mean cycle time in acyclic fork-join queueing networks

Published 7 Dec 2012 in math.OC and cs.SY | (1212.1521v1)

Abstract: Simple lower and upper bounds on mean cycle time in stochastic acyclic fork-join networks are derived using the $(\max,+)$-algebra approach. The behaviour of the bounds under various assumptions concerning the service times in the networks is discussed, and related numerical examples are presented.

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