Approach to estimation of performance measures for SIP server model with batch arrivals

In this paper an approach to analysis of dependence of Session Initiation Protocol server model with batch arrivals performance measures on batch size distribution is considered. Proposed approach employs non-parametric methods of statistical analysis. It is shown that there is statistical reliable dependence of performance measures, taken for signaling traffic analysis, on distance between distributions in definite norm. On the basis of proposed analysis elasticity coefficients were evaluated depending on distance between batch size distributions. This approach enables to get correction factors for estimation of these parameters in case distribution functions differ from uniform. © Springer International Publishing Switzerland 2016.

Authors
Orlov Y.1 , Gaidamaka Y. 2 , Zaripova E. 2
Publisher
Springer Verlag
Language
English
Pages
141-150
Status
Published
Volume
601
Year
2016
Organizations
  • 1 Keldysh Institute of Applied Mathematics Russian Academy of Sciences, Miusskaya sq. 4, Moscow, 125047, Russian Federation
  • 2 Peoples’ Friendship University of Russia, Miklukho-Maklaya street 6, Moscow, 117198, Russian Federation
Keywords
Batch arrivals; Distribution function; Norm; Optimization; Parameter sensibility; Performance measure; Queuing system; Sample; SIP mathematical model
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