THE MONITORING OF THE NETWORK TRAFFIC BASED ON QUEUING THEORY

The Monitoring of The Network Traffic Based on Queuing Theory

Abstract

Network traffic monitoring is an important way for network performance analysis and monitoring. The current project work explores how to build the basic model of network traffic analysis based on Queuing Theory.

In the present work, two queuing models (M/M/1): ((C+1)/FCFS) and (M/M/2): ((C+1)/FCFS) have been applied to determine the forecast way for the stable congestion rate of the network traffic.

Using this we can obtain the network traffic forecasting ways and the stable congestion rate formula. Combining the general network traffic monitor parameters, we can realize the estimation and monitor process for the network traffic rationally.

CHAPTER ONE

Introduction

Network traffic monitoring is an important way for network performance analysis and monitoring. The research work seeks to explore how to build the basic model of network traffic analysis based on Queuing Theory [1]. Using this, we can obtain the network traffic forecasting ways and the stable congestion rate formula, combining the general network traffic monitor parameters. Consequently, we can realize the estimation and monition process for the network traffic rationally.

Queuing Theory, also called random service theory, is a branch of Operation Research in the field of Applied Mathematics. It is a subject that analyzes the random regulation of queuing phenomenon and builds up the mathematical model by analyzing the date of the network.

Through the prediction of the system, we can reveal the regulation of the queuing probability and choose the optimal method for the system.

Adopting Queuing Theory to estimate the network traffic, becomes an important way of network performance prediction, analysis, and estimation and through this way, we can imitate the true network, it is useful and reliable for organizing, monitoring, and defending the network.

The mathematical model of the queuing theory:

In network communication, from sending, and transferring to receiving data and the proceeding of the data coding, decoding, and sending to the higher layer, in all these processes, we can find a simple queuing model. According to the Queuing Theory, this corresponding procedure can be abstracted as Queuing theory model, like figure-1. Considering this kind of simple data transmitting system satisfies the queue model.

Figure -1:The abstract model of the communication process From the above figure-1,

T_s: Service time of data packets in the server

where T_s=T_J+T_D+T_C,

T_J: Decoding time

T_D: Dispatching time

T_C: Calculating time, evaluating time, or handling time.

: Packets rate which has a mistake in sending from receiver i.e. lost rate of the receiver.
: Arriving speed of the data packets
N_q: Quantity of data packets stored in the buffer (temporary storage).
¢: Sending rate of the sender. T_N: Transportation delay time.....

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