New model of nonhomogeneous traffic

The new model of teletraffic is proposed. This model has two components. It is shown that it is possible to select the parameters of this model in such way that the conditions of Slow Growth and Fast Growth for the first and second components hold and under some common normalization the process of aggregated traffic converges to some limit process which is the sum of Stable Levy Motion and Fractional Brownian Motion. This is some generalization of the results of Mikosch et al. ©2009 IEEE.

Авторы
D'Apice C.1 , Galaktionova O.2 , Khokhlov Y. 3 , Sidorova O.2
Сборник материалов конференции
2009 International Conference on Ultra Modern Telecommunications and Workshops
Язык
Английский
Статус
Опубликовано
DOI
10.1109/ICUMT.2009.5345361
Номер
5345361
Год
2009
Организации
  • 1 Department of Information Engineering and Applied Mathematics, University of Salerno, Via Ponte don Melillo, 84084 Fisciano (SA), Italy
  • 2 Department of Mathematical Statistics and System Analysis, Tver State University, 170100 Zhelybov Street 33, Tver, Russian Federation
  • 3 Department of Probability Theory and Mathematical Statistics, People's Friendship Univarsity of Russia, 117198 Miklukho-Maklaya str., 6, Moscow, Russian Federation
Ключевые слова
Fractional Brownian motion; Levy motion; Limit process; New model; Non-homogeneous; Slow growth; Teletraffic; Two-component; Brownian movement
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