Xr. Cao et D. Towsley, A PERFORMANCE-MODEL FOR ATM SWITCHES WITH GENERAL PACKET LENGTH DISTRIBUTIONS, IEEE/ACM transactions on networking, 3(3), 1995, pp. 299-309
The maximum throughput of an ATM switch is investigated in the presenc
e of an offered load of multicell packets, For the case of input queue
ing coupled with a round-robin policy for transferring cells from inpu
ts to outputs, the system is approximated by a product form queueing n
etwork, Under the assumption that packet lengths are described by rand
om variables with discrete Coxian distributions, it is shown that the
balance equations describing the behavior of the ATM switch approach t
hose for a product form queueing network and that the steady-state pro
babilities of such an ATM switch approach the product-form solution as
the cell length tends to zero, Last, a numerical investigation shows
that the approximation yields good results, even when the packet lengt
hs are not well described by Coxian distributions.