2. Consider a network node represented by an M/M/1 model. (a) Find the probability that the number of packets in the node is less than a given number k, P[K(t) < k]. This is normally used to estimate the threshold time of the network node to reach a certain load. (b) If we require that P[K(t) < 20] = 0.9904, determine the switching service rate if the arrival rate to this node is 300 packets per second.

2. Consider a network node represented by an M/M/1 model. (a) Find the probability that the number of packets in the node is less than a given number k, P[K(t) < k]. This is normally used to estimate the threshold time of the network node to reach a certain load. (b) If we require that P[K(t) < 20] = 0.9904, determine the switching service rate if the arrival rate to this node is 300 packets per second.

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Concept explainers

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.

Question

2. Consider a network node represented by an M/M/1 model.
(a) Find the probability that the mumber of packets in the node is less than a given number k,
P[K(t) < k]. This is normally used to estimate the threshold time of the network node to reach
a certain load.
(b) If we require that P[K(t) < 20] = 0.9904, determine the switching service rate if the arrival rate
to this node is 300 packets per second.

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