@article{Zukerman1989Applications,
author = {M. Zukerman},
title = {Applications of matrix-geometric solutions for queueing performance of a hybrid switching system},
journal = {The Journal of the Australian Mathematical Society. Series B},
volume = {31},
number = {2},
pages = {219-239},
month = {Oct.},
year = {1989},
abstract = {We consider a hybrid switch which provides
integrated packet (asynchronous) and circuit (isochronous) switching. Queue size
and delay distribution of the packet switched traffic in the steady state are
derived by modelling the packet queue as a queue in a Markovian environment. The
arrival process of the packets as well as of the circuit allocation requests are
both modelled by a Poisson process. The analysis is performed for several
circuit allocation policies, namely repacking, first-fit (involving static or
dynamic renumbering) and best-fit. Both exact results and approximations are
discussed. Numerical results are presented to demonstrate the effect of increase
in packet and circuit loading on the packet delay for each of the policies.}
}