Abstract
While properties of the flows in isolated processor sharing queues are well understood, little is known about the flows in networks with processor sharing nodes. This paper analyzes the internal traffic processes in processor sharing queues with instantaneous Bernoulli feedback. The internal traffic does not inherit the insensitivity to the shape of the service requirement distribution from the external traffic. The interoutput time distribution is studied in the single server and infinite server processor sharing queues. For the systems we study, we show that when service requirement distributions with the same means are convexly ordered, so are interoutput time distributions.
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This work was partially supported by the National Science Foundation under Grant ECS-8501217 and by the Graduate School of the University of Massachusetts under Faculty Research Grant 1-03205.
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Klutke, GA., Kiessler, P.C. & Disney, R.L. Interoutput times in processor sharing queues with feedback. Queueing Syst 3, 363–376 (1988). https://doi.org/10.1007/BF01157856
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DOI: https://doi.org/10.1007/BF01157856