Titlebook: Information Technologies and Mathematical Modelling. Queueing Theory and Applications; 21st International C Alexander Dudin,Anatoly Nazarov

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Communications in Computer and Information Sciencehttp://image.papertrans.cn/i/image/465627.jpg

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https://doi.org/10.1007/978-3-031-32990-6Computer Science; Informatics; Conference Proceedings; Research; Applications

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,Limit Theorems for the Positive Recurrent Q-process, trajectory in the remote future. We find an explicit form of the generating function of the distribution of limit states of the system. We prove that this generating function produces an invariant distribution. As a consequence of this result, a local limit theorem with a tail part estimate is esta

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,Numerical Analysis of Shortest Queue Problem for Time-Scale Queueing System with a Small Parameter,cation with the growth of subscriber devices and lack of frequency bands. The application of queuing theory methods to analyze network performance is very important at the design, implementation and operation stages, as it is necessary to ensure a high return on investment that will be directed to t

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,Mathematical Modeling of Virtual Machine Life Cycle Using Branching Renewal Process,everal working modes with different resource consumption. Each machine begins with zero phase and continues performing by probabilistic change of other phases. Virtual machines can leave the cloud node after any phase with some probability. For this model, we obtain probability distribution of the n

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,Refined Limit Theorems for the Critical Continuous-Time Markov Branching Systems, is that the branching rate generating function of the system regularly varies, in which slowly varying factor varies at infinity with an explicit expression remainder. We essentially rely on the improved version of the Basic Lemma of the critical Markov branching systems theory. First we establish

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