In this paper we study properties of a queue with instantaneous Bernoulli feedback where the service discipline is one of two symmetric disciplines. For the processor sharing queue with exponentially distributed service requirements we analyze the departure process, imbedded queue lengths, and the input and output processes. We determine the semi-Markov kernel of the internal flow processes and compute their stationary interval distributions and forward recurrence time distributions. For generally distributed service times, we analyze the output process using a continuous state Markov process. We compare the case where service times are exponentially distributed to the case where they are generally distributed. For the infinite server queue with feedback, we show that the output process is never renewal when the feedback probability is non-zero. We compute the time until the next output in three special cases. / Ph. D.
| Identifer | oai:union.ndltd.org:VTETD/oai:vtechworks.lib.vt.edu:10919/52314 |
| Date | January 1986 |
| Creators | Klutke, Georgia-Ann |
| Contributors | Industrial Engineering and Operations Research, Disney, R.L., Besieris, Ioannis M., Foley, R.D., Herdman, Terry L., Mittal, Yashaswini D. |
| Publisher | Virginia Polytechnic Institute and State University |
| Source Sets | Virginia Tech Theses and Dissertation |
| Language | en_US |
| Detected Language | English |
| Type | Dissertation, Text |
| Format | v, 106 leaves, application/pdf, application/pdf |
| Rights | In Copyright, http://rightsstatements.org/vocab/InC/1.0/ |
| Relation | OCLC# 14703757 |
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