A firewall has a processing capability of pkts/s. The time required to analyze a packet can be assumed to be a constant. Packets arrive according to a Poisson process from a link with bit rate R. The...

A firewall has a processing capability of

pkts/s. The time required to analyze a packet can be assumed to be a constant. Packets arrive according to a Poisson process from a link with bit rate R. The mean packet length is L. The utilization of the link is p. The firewall has a buffer that can store up to K packets.

a) Define a model of the firewall processing unit.

b) Compute the loss probability of the firewall buffer.

c) Give a graph of the packet loss probability of the firewall as a function of R for R ranging between 2 Mbit/s up to 1 Gbit/s. (Assume the following numerical values:

= 1250 bytes, P = 0.7,

= 10000 pkts/sec,K = 100.)