BOUNDS FOR FLUID MODELS DRIVEN BY SEMI-MARKOV INPUTS

Authors:
N. Gautam;V. G. Kulkarni;Z. Palmowski;T. Rolski
Affiliations:
Department of Industrial Engineering, Pennsylvania State University, University Park, Pennsylvania 16802;Department of Operations Research, University of North Carolina, Chapel Hill, North Carolina 27599;Mathematical Institute, Wrocław University, pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland;Mathematical Institute, Wrocław University, pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland
Venue:
Probability in the Engineering and Informational Sciences
Year:
1999

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Abstract

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.