Acyclic fork-join queuing networks

@article{Baccelli1989AcyclicFQ,
  title={Acyclic fork-join queuing networks},
  author={François Baccelli and William A. Massey and Donald F. Towsley},
  journal={J. ACM},
  year={1989},
  volume={36},
  pages={615-642}
}
In this paper the class of acyclic fork-join queuing networks that arise in various applications, including parallel processing and flexible manufacturing are studied. In such queuing networks, a fork describes the simultaneous creation of several new customers, which are sent to different queues. The corresponding join occurs when the services of all these new customers are completed. The evolution equations that govern the behavior of such networks are derived. From this, the stability… CONTINUE READING
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