Algebraic modelling and performance evaluation of acyclic fork-join queueing networks

Nikolai K. Krivulin

doi:10.1007/978-1-4612-1318-5_5

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arXiv · 1212.4648

Algebraic modelling and performance evaluation of acyclic fork-join queueing networks

Nikolai K. Krivulin

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Abstract

Simple lower and upper bounds on mean cycle time in stochastic acyclic fork-join queueing networks are derived using a (max,+)-algebra based representation of network dynamics. 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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BibTeX RIS

Nikolai K. Krivulin. 2012-12-19. Algebraic modelling and performance evaluation of acyclic fork-join queueing networks. https://doi.org/10.1007/978-1-4612-1318-5_5

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