Computers and Technology
Computers and Technology, 16.06.2020 23:57, savingmayo

Class, we saw that packet switching can make more efficient use of resources by takingadvantage of the fact that only a fraction of potential senders are active at any time. In this problem, you will beasked to demonstrate this fact mathematically. Suppose we have a single link with capacityLbits per second and apopulation of users that generate data atrbits per second when busy. The probability that a user is busy generatingdata isp. A. What is the maximum number of users that can be supported using circuit switching? Call this value MC.
B. Now suppose we use packet switching to support a population of MP users. Derive a formula (in terms of p, MP, N, L, and r) for the probability that more than N users are busy.
C. Plug in some numbers. Let L = 1 Mbps, r = 64 Kbps and p = 0.1. Give the value for MC. What is the probability that more than MC users are busy for MP = 2MC? What about MP = 4MC?

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