Problem – Use Matlab
In a switching node, consider an output channel across which messages are queued
and transmitted. The output module feeding messages for transmission across this
channel is modeled as an M/M/1 queuing system. The transmission data rate
across the channel is equal to 10 Mbps. Message transmission times are noted to be
exponentially distributed. The average message length is equal to 8000 Bits. Messages
arrive to this output stage in accordance with a Poisson process at a rate that may
vary from 600 to 1200 messages /sec.
(a) Draw performance curves that show the variation of the average value and the
95-percentile level of the message waiting time, as a function of the message
throughput rate.
(b) Calculate the maximum message arrival rate that the system should allow if it
wishes to guarantee to 95% of the messages that their waiting time will not be
higher than 1.2 msec.
TIPS given below:
=