Consider the stop-and-wait data link protocol operating over a link whose parameters are as follows: Tprop = d/v
where d
is the distance between transmitter and receiver in meters and v
is signal propagation speed in meters per second, and Tf = L/R
where L
is the frame length in bits, and R
is the link transmission rate in bits per second. Ignoring the Tack
and Tproc
, it is required to answer the following questions:
a) Plot the link utilization as a function of the link transmission, U(R)
for R ϵ [0,∞)
.
b) Find the quantities lim 'R→ ∞' U(R)
and lim 'R→ 0+' U(R)
.
c) Plot the link throughput in bit per second, Throbps(R)
for R ϵ [0,∞)
.
d) Plot the link throughput in frames per second, Throfps(R)
for R ϵ [0,∞)
.
e) Find the quantities lim 'R→ ∞' Throfps(R)
and lim 'R→ 0+' Throfps(R)
.
The labels for all plots as well as all computed quantities should be in terms of the link parameters.
Actually I could observe how to answer the question U(R) = (L/R) / ((L/R) + 2 Tprob) Now: by taking the limit:
lim 'R→ ∞' U(R) = lim 'R→ ∞' (L/R) / ((L/R) + 2 Tprob)
put R = ∞, we get:
(L/∞) / ((L/∞) + 2 Tprob) = 0 / (0+2Tprop) = 0
the same for lim 'R→ 0+'.
Also, the same for the throughput.
After we get the limits, we can plot the graph easily according to the values we get.
Regards,