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A Research Method of Software-Defined Networks Asymptotic Properties with Markov Intrusion of Randomness

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Information and Communication Technologies and Sustainable Development (ICT&SD 2022)

Abstract

NATO has adopted a network-centric transformation model for automated control and communications systems. At the present stage of information technology development in this model has the following main properties: software is developed as services; information system architecture is service-oriented; network is operated as software-defined networking (SDN). SDN attempts to centralize network data in a single network component by separating of network packets transmitting process (data plane) from the routing process (control plane). It is presented in the paper the Network services platform as is an essential element of the architecture, especially in terms of provision of telecommunication services. The primary purposes of this platform are as follows: application of software network configuration; to accelerate the launch of company services by reduction of time expenditures and costs required for products implementation and upgrading; improve products launch efficiency and cut costs for their development and operation through prevention of functions duplication, use of open interfaces, and repeated use of similar elements. The SDN operation process is represented by a set of queuing systems, for which network abstraction layer characteristics are determined. This provides an assessment of all network parameters, first of all, the stochastic (random) nature of requirements flows entering to the system for service is taken into account. The development of stochastic methods is presented, where a essential place is has the problem of constructing and studying various classes of random processes that adequately describe phenomena in SDN. These very general classes of processes include processes with a discrete component, it is so-called processes with discrete interference of events, which affect quality of service parameters. Therefore, classical renewal theory statements were extended to the so-called Markov renewal equation. As a result of this extension, proof of Markov renewal theorem in the sequence of runs was given. The proven Markov renewal type theorem is an analytical tool for studying the limiting behavior of Markov and related processes, including semi-Markov and regenerative processes. This theorem allows us to study transient phenomena that arise in the SDN processes such as the asymptotic behavior of additive functionals of ergodic processes, limit problems for random walks and processes with independent increments, branching processes that are close to critical, and others.

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Correspondence to Sergii Degtyar .

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Degtyar, S., Kopiika, O., Shusharin, Y. (2023). A Research Method of Software-Defined Networks Asymptotic Properties with Markov Intrusion of Randomness. In: Dovgyi, S., Trofymchuk, O., Ustimenko, V., Globa, L. (eds) Information and Communication Technologies and Sustainable Development. ICT&SD 2022. Lecture Notes in Networks and Systems, vol 809. Springer, Cham. https://doi.org/10.1007/978-3-031-46880-3_5

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