Suppose users in a network share a 4 Mbps communication link and each user requires 125 kbps when transmitting. However, each user transmits only 20 percent of the time. Suppose there are 30 users and packet switching is employed. Find the probability that at any given, there are 17 or more users transmitting simultaneously.

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter20: Queuing Theory
Section20.4: The M/m/1/gd/∞/∞ Queuing System And The Queuing Formula L = Λw
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Suppose users in a network share a 4 Mbps communication link and each user requires 125 kbps when transmitting. However, each user transmits only 20 percent of the time. Suppose there are 30 users and packet switching is employed. Find the probability that at any given, there are 17 or more users transmitting simultaneously.

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