
13Analysis and Simulation of Computer Networks with Unlimited Buffers
τ
λ
λ
=
−+
−
+
.
l
(1.22)
It follows that the critical load is
λ
crit
=
, (1.23)
and the critical exponent is equal to 1.
1.3.3 simulaTions
1.3.3.1 Convergence to the Steady-State Regime
It is important to estimate the time it takes for the system to reach the stationary regime. We expect
that the time depends on the load λ and increases as λ approaches the critical point.
The total contribution of the initial probability distribution to the distribution of the queue at
time T is bounded from above by γ
T
, where T is the number of time slots that have elapsed from the ...