English

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

Optimization and Control 2012-12-20 v1 Systems and Control

Abstract

Simple lower and upper bounds on mean cycle time in stochastic acyclic fork-join networks are derived using the (max,+)(\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.

Cite

@article{arxiv.1212.1521,
  title  = {Bounds on mean cycle time in acyclic fork-join queueing networks},
  author = {Nikolai K. Krivulin},
  journal= {arXiv preprint arXiv:1212.1521},
  year   = {2012}
}

Comments

The 4th International Workshop on Discrete Event Systems (WODES'98), University of Cagliary, Cagliari, Sardinia, Italy, August 26-28, 1998

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