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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.
3 Principles of Teletraffic Engineering
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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.
4 Principles of Teletraffic Engineering
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Fundamental Concepts
Basic Single Queue ModelClassical queuing theory can be applied
to an output link in a router.
5 Principles of Teletraffic Engineering
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Fundamental Concepts
For example, a 56 kbpstransmissionline can serve 1000-bit packets at a
rate of
6 Principles of Teletraffic Engineering
56,00056
1000
bits/secpackets/sec
bits/packet
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Fundamental Concepts
The Poisson Arrival ModelA Poisson process is a sequence of events
randomly spaced in time
7 Principles of Teletraffic Engineering
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Fundamental Concepts
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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Fundamental Concepts
Properties of a Poisson ProcessFor a length of time t the probability of n
arrivals in tunits of time is
9 Principles of Teletraffic Engineering
( )( )
!
n
t
n
tP t e
n
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Fundamental Concepts
For 2 disjoint (non-overlapping)intervals, (t1, t2) and (t3, t4), (i.e. t1