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arxiv: 1212.1521 · v1 · pith:EU5HWKV3new · submitted 2012-12-07 · 🧮 math.OC · cs.SY· eess.SY

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

classification 🧮 math.OC cs.SYeess.SY
keywords boundsnetworksacycliccyclefork-joinmeantimealgebra
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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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