Transient analytical solution of M/D/ 1/N queues
Brun, O.
Garcia, J. M.
Gauchard, D.
Abstract
| An analytical expression of the time-dependent probability distribution
of M/D/1/N queues initialised in an arbitrary deterministic state
is derived. We also obtain a simple analytical expression of the
differential equation governing the transient average traffic which
only involves probabilities of boundary states. As a by- product,
a closed form solution of the departure rate from the system is
also determined.
|
Keywords
analysis
transient
Notes
Related Papers
Bibtex
@ARTICLE {brun.garcia.gauchard_md1n,
author = {Brun, O. and Garica, J. M. and Gauchard, D.},
title = {Transient analytical solution of {M/D/1/N} queues},
journal = {Journal of Applied Probability},
volume = {39},
number = {4},
pages = {853 -- 864},
year = {2002}
}