A Limit Theorem for the System of Leaky Buckets |
Preprint
(2004)
Author(s):
J. Gruszczyński, gruszczynski(at)softlab.ii.uj.edu.pl
Jagiellonian University, Institute of Computer
Science, Nawojki 11, 30-072 Cracow, Poland
Pages: ...
Abstract: The sequence of systems of m leaky buckets and one
multiplexer is considered. It turns out that the states of the
buffers for tokens and the state of the buffer of the multiplexer
satisfy differential equations in the limit as the size of the
cells of the data and the value of the tokens tend to zero. The
results are compared with the equations proposed by N.U. Ahmed
and K.L. Teo.
Keywords: leaky bucket, multiplexer, jumping system, continuous system, approximation.
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