Method of arrival process description for packet switch

The arrival process description is important problem for analysis of the packet switches that can be considered as queueing systems. Such queueing systems are the appropriate models for the study of the stochastic characteristics. The accuracy of the results of the model study is largely determined by the correctness of the description of the arrival process. This paper proposes a method to solve the problem of choosing a distribution type to describe arrival process at the teletraffic system input. The authors introduce a criterion for choosing the distribution type based on the error minimization in the estimates of the mean value and coefficient of variation in the delay times in the teletraffic system. Sometimes measurement results characterizing the arrival process are available. In this case, the correctness of the proposed distribution is also checked using the goodness-of-fit test. The paper provides case studies on how the proposed method can be applied to the process of choosing the distribution type in question. © 2020 Copyright for this paper by its authors. Use permitted under Creative Commons License Attribution 4.0 International (CC BY 4.0). CEUR Workshop Proceedings (CEUR-WS.org)