Exercise 3.8. Dimensioning a Simple Network

Suppose that the traffic to be carried on a link has mean rate 1.5 Mbit/s and standard deviation (of the rate, measured over an appropriate time interval) 2 Mbit/s. The available equipment for carrying this traffic has capacity one of: 1 Mbit/s, 2 Mbit/s, 10 Mbit/s, 20 Mbit/s, 50 Mbit/s, 150 Mbit/s, 600 Mbit/s, 2.4 Gbit/s, 10 Gbit/s, or 40 Gbit/s.

Select the appropriate transmission system to carry the traffic specified, an aggregate of 10 such traffic streams,20 streams, 50 streams, and 100 streams. Justify your answer.

The loss/delay standard on the link should be met by ensuring that the probability of the traffic rate process exceeding the capacity of the link should not exceed 0.001 (0.1 %). A handy table of probabilities of the Gaussian (normal) distribution which you can use for this exercise is given

in Table 3.2. If you feel that the Normal Loss Function is the one which you need to use, you can gain access to it in Table 3.1.