Abstract
New Radio Access Technology 3GPP New Radio has become the fundamental wireless technology in the fifth-generation networks, which allows us to achieve high data rates due to the ability to work in the millimeter-wave band. But the key feature and the main problem of 5G New Radio networks is that people themselves, cars, buildings, etc. are signal blockers, while the base stations of the fourth generation networks have widescreen broadcasting and such small obstacles do not cause loss of connection. Service providers and mobile operators are already testing the proposed technology. In this connection, the scientific community has the task of analyzing the performance of these systems and increasing it in the future. Currently, there are known studies of “basic” mathematical models of such networks. By this term, we mean models built in the simplest possible assumptions. However, due to the justified necessity of introducing new technology into the daily lives of subscribers, service providers pose the scientific community with the task of analyzing the effectiveness of the most appropriate mathematical models. For example, a technology of splitting transmitted data into two streams using as 5G and both 4G transmission technologies is considered now by 3GPP Project Coordination Group. The paper is devoted to such a problem. We consider a mathematical model of the message transmitting with the implementation of the splitting function in the communication networks of New Radio technology in the form of a resource queueing system with a renewal arrival process and non-exponential service. For this problem, an approximation of a stationary two-dimensional probability distribution of the number of occupied resources in parallel service units is obtained. It is shown that this approximation coincides with the Gaussian distribution, and its area of applicability is shown.
Highlights
One of the solutions may be a splitting of transmitted data into two streams one of which uses 5G New Radio and another uses 4G Long-Term Evolution technology
Due to the necessity of introducing new technology into the daily life of subscribers, service providers pose the scientific community with the task of analyzing the effectiveness of the most appropriate mathematical models
During transmitting high-quality streaming video, resources are used to provide quality of the content, and service time corresponds to the duration of transmitting process
Summary
The interest in the study of resource queueing systems is determined by the possibility of their application in the modeling of modern technical devices, next-generation data transmission networks, and computer systems, including cloud computing systems. The amount of required resources is determined by a predefined probability distribution, which can take into account the features of various radio resource allocation schemes when analyzing the performance of wireless networks Galinina et al (2014); Gudkova et al (2014). Such systems can be modeled using resource queueing systems Lisovskaya et al (2019); Naumov et al (2016); Sopin et al (2017); Tikhonenko (2010), where each arrival, in addition to one server, takes a certain amount of resource (deterministic or random, discrete or continuous). Using technique Moiseev and Nazarov (2016), we obtain an estimation of the amount of resources that is enough that the probability of losses is equal to or less than a given value for a similar system with a limited reserve of resources
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