1. Assume K connections, each with peak rate p, sustainable rate m and burst tolerance b, are offered to a trunk with constant service rate P and FIFO buffer of capacity X. Find the conditions on K for the system to be loss-free.

 

2. If Km = P, what is the condition on X for K connections to be accepted ?

2. If Km = P, what is the condition on X for K connections to be accepted ?

3. What is the maximum number of connection if p = 2 Mb/s, m = 0.2 Mb/s, X = 10MBytes, b = 1Mbyte and P = 0.1, 1, 2 or 10 Mb/s ?

 

4. For a fixed buffer size X, draw the acceptance region when K and P are the variables.