In: Computer Science
(3) -> The arrival of packets at an Ethernet adapter of a web
server is described by a Poisson process with a rate of 100 packets
per second . Packets that arrive to the Ethernet adapter described
in the above problem (3) are queued up in a buffer until processed
by the Interrupt Service Routine (ISR). Assuming that the ISR
service time per packet is exponential with an average of 9.6
milliseconds. Answer the following questions:
(a) What is the capacity of the Ethernet adapter?
(b) Write down the probability distribution of the number of
packets at the Ethernet adapter (either queued or being
transmitted).
(c) How many packets do you expect to find waiting in the buffer of
the adapter at any point in time (on average)?
(d) What is the average waiting time in the buffer (i.e., how long
is a packet buffered untilthe ISR starts processing it)?
(e) What is the slowdown caused by queuing at the Ethernet
adapter?