analyzinpttg poisson traffic

8/13/2019 AnalyzinPTTg Poisson Traffic

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Lab-Experiment # 04

By

Engr. Naveed A. Umrani

Analyzing Poisson Traffic


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Outlines

Introduction To unit # 02

Purpose of this Lab

Fundamental Concepts

Simulation and Results

2 Principles of Teletraffic Engineering


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Introduction to Unit # 02

Unit No-02: Traffic Characterization

The purpose of this unit is to characterize

various kinds of traffic, the various types of

traffic are as follow: Poisson Traffic

Compressed Video Traffic

Ethernet Traffic

The overall purpose is to analyze these

different kinds of Traffic.



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Purpose of this lab

In this lab we will study and

compare the properties of network

traffic. The traffic type considered

will be:

Poisson traffic

In order to analyze Poisson Trafficwe will require a Data file which is a

named as poisson1.



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Basic Single Queue ModelClassical queuing theory can be applied

to an output link in a router.



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For example, a 56 kbpstransmissionline can serve 1000-bit packets at a

rate of


56,00056

1000

bits/secpackets/sec

bits/packet


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The Poisson Arrival ModelA Poisson process is a sequence of events

randomly spaced in time



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Examples

Customers arriving to a bank

Packets arriving to a buffer

The rate of a Poisson process is the

average number of events per unit time

(over a long time).

8Principles of Teletraffic Engineering


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Properties of a Poisson ProcessFor a length of time t the probability of n

arrivals in tunits of time is


( )( )

!

n

t

n

tP t e

n


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For 2 disjoint (non-overlapping)intervals, (t1, t2) and (t3, t4), (i.e. t1

analyzinpttg poisson traffic

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