Write a program to simulate routing using ooding. Each packet should contain a counter that is decremented on each hop. When the counter gets to zero, the packet is discarded. Time is discrete, with each line handling one packet per time interval. Make three versions of this program: all lines are flooded, all lines except the input line are flooded, and only the (statically chosen) best k lines are flooded. Compare flooding with deterministic routing (k=1) in terms of both delay and the bandwidth used

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3. Consider the M/M/1 queue discussed in class. Assume that packets arrive to a queue with average arrival rate A [pkts/s]. The average service rate of the queue is denoted by u [pkts/s]. (a) Write expressions for: (i) the mean time between packet arrivals to the queue, i.e., the average inter-arrival time; and (ii) the mean service time, i.e., the average time needed to transmit a packet onto the outgoing link. (b) Let N denote the number of packets in the system in steady-state. Suppose A = 850 and u 1000. Find the smallest value of B such that P(N > B) < e = 10¬4. Hint: Use MATLAB or some other computational tool (you could even use an Excel spreadsheet) to test different values of B. 4. Consider the M/M/1 queue from Problem 3. (a) Find an expression for E[N], i.e., the average number of packets in the system in steady- state. For the values of A and µ specified in Problem 4(b), compute the value of E[N]. What happens when A→ µ? (b) Find an expression for Var[N], i.e., the variance…