Suppose each user requires 500 kbps and is active only for 25% of the time. How many users can we multiplex on a 8 Mbps link if we want to fulfill user requirements with probability at least 0.9 using packet switching

Suppose each user requires 500 kbps and is active only for 25% of the time. How many users can we multiplex on a 8 Mbps link if we want to fulfill user requirements with probability at least 0.9 using packet switching

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter20: Queuing Theory

Section20.10: Exponential Queues In Series And Open Queuing Networks

Problem 8P

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Network transmission cabling

A network is a collection of devices connected by communication links. A device can be a computer or any instrument capable of sending and receiving data or information formed by other nodes toward the network. A channel that connects people or things is known as a network. It sends the data from one place to another. It is the basic concept of a computer, network, and data communications.

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Let's say each user has a 500 kbps need and is online for just 25% of the time. With packet switching, how many people can we accommodate on an 8 Mbps connection with probability of at least 0.9? How much of an improvement does statistical multiplexing make in this case?
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