Application of multigraph sampling method in network traffic design of simulation model of integrated telecommunication and computer network

Abstract

Designing an integrated telecommunications and computer network using a simulation model requires defining all the network and communication elements that make up the network and network communication. The accuracy, quality, and usability of the simulation results depend on the accuracy and the way of defining the network traffic as a timed event between the source and the destination in the network. In this paper, the method for a more accurate definition of network traffic required for the development of a simulation model using the software tool OPNET is proposed. Network traffic can be represented using a multigraph associated with an appropriate matrix of network traffic over time. Time definition of network traffic is enabled by applying the method of sampling multigraphs with the mathematical derivation of the corresponding statistical distribution function. Predicted or existing communication in the network describes using the derived function of network traffic distribution and precisely defines the OPNET simulation model.

A Multigraph-Defined Distribution Function in a Simulation Model of a Communication Network

“…The consequence is that one may obtain incorrect simulation results and derive erroneous conclusions and decisions about the design of the network structure. To increase the accuracy of parameters when describing and defining network traffic in [ 2 ], we performed an analytical method where we used multigraphs to describe communication interactions as events between network elements. This method was executed and tested on the example of deterministic arranged communication in the network.…”

“…In accordance with the concepts given in [ 2 ], communication data exchanges are defined. The time distribution of the data is mapped to the distribution function for the OPNET simulation model, which is shown by the logical flow in Figure 1 .…”

“…The distribution function of communication interactions between network elements according to the method given in [ 2 ] represents the law of data generation over time. Data generation is realized by the application services.…”

“…The generation of communication information is enabled and transformed into the appropriate amount of digital data for distribution to the network element Ej is performed. The time scheme of communication interactions ( Figure 3 ), as in [ 1 , 2 ], shows the flow of these activities from the operational procedures.…”

“…The model requires an appropriate distribution function that, in the simulation model, temporally describes the generation and distribution of the amount of data between network elements. We used the sampling matrix associated with multigraphs [ 2 ] to derive the time distribution function of the communication events of network traffic. A method of applying multigraphs for defining the distribution functions of the generation time of data between network elements of the ITCN is presented in this study.…”