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BOUNDS FOR FLUID MODELS DRIVEN BY SEMI-MARKOV INPUTS

Published online by Cambridge University Press:  01 October 1999

N. Gautam ,
V. G. Kulkarni ,
Z. Palmowski  and
T. Rolski
N. Gautam
Affiliation:
Department of Industrial Engineering, Pennsylvania State University, University Park, Pennsylvania 16802
V. G. Kulkarni
Affiliation:
Department of Operations Research, University of North Carolina, Chapel Hill, North Carolina 27599
Z. Palmowski
Affiliation:
Mathematical Institute, Wrocław University, pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland
T. Rolski
Affiliation:
Mathematical Institute, Wrocław University, pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland
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Abstract

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In this paper we consider an infinite buffer fluid model whose input is driven by independent semi-Markov processes. The output capacity of the buffer is a constant. We derive upper and lower bounds for the limiting distribution of the stationary buffer content process. We discuss examples and applications where the results can be used to determine bounds on the loss probability in telecommunication networks.

Information

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 13 , Issue 4 , October 1999 , pp. 429 - 475
Copyright
© 1999 Cambridge University Press