BOUNDS FOR FLUID MODELS DRIVEN BY SEMI-MARKOV INPUTS
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.
1 This author was partially supported by NSF Grant No. NCR-9406823.
2 This author was partially supported by KBN Grant No. 2 P03 A 024 14.
3 This author was partially supported by NSF Grant No. 2 P03 A 049 15.