L. Jacob et A. Kumar, DELAY PERFORMANCE OF SOME SCHEDULING STRATEGIES IN AN INPUT QUEUING ATM SWITCH WITH MULTICLASS BURSTY TRAFFIC, IEEE/ACM transactions on networking, 4(2), 1996, pp. 258-271
We consider an N x N nonblocking, space division, input queuing asynch
ronous transfer mode (ATM) cell switch, and a class of Markovian model
s for cell arrivals on each of its inputs, The traffic at each input c
omprises geometrically distributed bursts of cells, each burst destine
d for a particular output, The inputs differ in the burstiness of the
offered traffic, with burstiness being characterized in terms of the a
verage burst length, We analyze burst delays in the situation in which
some inputs receive traffic with low burstiness and others receive tr
affic with higher burstiness. Three policies for head-of-the-line cont
ention resolution are studied: two static priority policies [viz,, sho
rter-expected-burst-length-first (SEBF), longer-expected-burst-length-
first (LEBF)] and random selection (RS), Direct queuing analysis is us
ed to obtain approximations for asymptotic (as N --> infinity) high an
d low priority mean burst delays with the priority policies, Simulatio
n is used for obtaining mean burst delays for finite N and for the ran
dom selection policy, Numerical results show that, as the traffic burs
tiness increases, the asymptotic analysis can serve as a good approxim
ation only for large switch sizes, Qualitative performance comparisons
based on the asymptotic analysis are, however, found to continue to h
old for finite switch sizes. It is found that the SEBF policy yields t
he best delay performance over a wide range of loads, while RS lies in
between, SEBF drastically reduces the delay of the less bursty traffi
c (e,g,, distributed computing traffic) while only slightly increasing
the delay of the more bursty traffic, e,g,, variable bit rate (VER) v
ideo, LEBF causes severe degradation in the delay of less bursty traff
ic, while only marginally improving the delays of the more bursty traf
fic, RS can be an adequate compromise if there is no prior knowledge o
f input traffic burstiness.