: Christian Grimm, Georg Schlüchtermann
: IP-Traffic Theory and Performance
: Springer-Verlag
: 9783540706052
: 1
: CHF 189.50
:
: Elektronik, Elektrotechnik, Nachrichtentechnik
: English
: 487
: Wasserzeichen/DRM
: PC/MAC/eReader/Tablet
: PDF
Reading without meditation is sterile; meditation without reading is liable to error; prayer without meditation is lukewarm; meditation without prayer is unfruitful; prayer, when it is fervent, wins contemplation, but to obtain contemplation without prayer would be rare, even miraculous. Bernhard de Clairvaux (12th century) NobodycandenythatIP-basedtra? hasinvadedourdailylifeinmanyw ys and no one can escape from its di?erent forms of appearance. However, most people are not aware of this fact. From the usage of mobile phones - either as simple telephone or for data transmissions - over the new form of telephone service Voice over IP (VoIP), up to the widely used Internet at the users own PC, in all instances the transmission of the information, encoded in a digital form, relies on the Internet Protocol (IP). So, we should take a brief glimpse at this protocol and its constant companions such as TCP and UDP, which have revolutionized the communication system over the past 20 years. The communication network has experienced a fundamental change, which was dominated up to end of the eighties of the last century by voice appli- tion.Butfromthemiddleofthenin tieswehaveobservedadecisivemi ration in the data transmission. If the devoted reader of this monograph reads the title 'IP tra?c theory and performance', she/he may ask, why do we have to be concerned with mod- ing IP tra?c, and why do we have to consider and get to know new concepts.

Professor Dr.- Ing. Christian Grimm has been working for more than ten years with measuring and modelling of data traffic in packet switched networks. In his PhD thesis he investigated complex methods for the traffic modelling in the World Wide Web. At present he is head of the division for research and development and new network services at the regional computing centre for lower saxony. Since 2003 he has an assistant professorship (Juniorprofessur) in computer networks at the faculty of electrical engineering and computer sciences at the university of Hannover.

Professor Dr. rer.nat. Georg Schlüchtermann finished his study in Mathematics in 1984. He habilitated 1994 at the Ludwig-Maximilians-Universitä in functional analysis. Since 2001 he is apl. professor at the faculty for mathematics, computer sciences and statistics at the university of Munich. He is lecturing in the fields of traffic theory, mathematical modelling in mobile communication and finance mathematics.

Preface7
Contents11
1 Introduction to IP Traffic15
1.1 TCP/IP Architecture Model15
1.2 Aspects of IP Modeling23
1.3 Quality of Service33
1.4 Why Traditional Models Fail36
2 Classical Traffic Theory43
2.1 Introduction to Traffic Theory43
2.2 Kolmogorov Equation48
2.3 Transition Processes52
2.4 Pure Markov Systems M/M/n54
2.5 Special Traffic Models72
2.6 Renewal Processes74
2.7 General Poisson Arrival and Serving SystemsM/G/n87
2.8 General Serving Systems GI/G/n121
2.9 Network Models136
2.10 Matrix-Analytical Methods162
Further Literature193
3 Mathematical Modeling of IP-based Traffic194
3.1 Scalefree Traffic Observation194
3.2 Self-Similar Processes197
3.3 Long-Range Dependence215
3.4 Influence of Heavy-Tail Distributions on Long-Range Dependence239
3.5 Models for Time Sensitive Traffic258
3.6 Fractional L´evy Motion in IP-based Network Traffic272
3.7 Fractional Ornstein-Uhlenbeck Processes and Telecom Processes274
3.8 Multifractal Models and the Influence of Small Scales280
3.9 Summary of Models for IP Traffic329
Further Literature330
4 Statistical Estimators333
4.1 Parameter Estimation333
4.2 Estimators of Hurst Exponent in IP Traffic361
Further Literature394
5 Performance of IP: Waiting Queues and Optimization395
5.1 Queueing of IP Traffic for Perturbation with Long- Range Dependence Processes395
5.2 Queueing in Multifractal Traffic423
5.3 Traffic Optimization435
Further Literature475
References476
Index490