Titlebook: Information Technologies and Mathematical Modelling. Queueing Theory and Applications; 19th International C Alexander Dudin,Anatoly Nazarov

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A Retrial Queueing System with Processor Sharing,eless cellular network with two types of customers (handover and new customers). Customers of two types arrive at the system according to the Marked Markovian Arrival Process (MMAP). Arriving customers of each type follow a bandwidth sharing policy. In period when the number of customers of definite

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Multi-level MMPP as a Model of Fractal Traffic,fic. For the total amount of information received in multi-level MMPP, we investigate the probability distribution and present the algorithm of calculating the first and the second moments. Using asymptotic analysis method, we build Gaussian approximation of aforementioned distribution. We show that

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Central Limit Theorem for an M/M/1/1 Retrial Queue with Unreliable Server and Two-Way Communication process. If the server is busy upon arrival, an incoming call joins the orbit and retries to occupy the server after some exponentially distributed time. Service durations of incoming calls follow the exponential distribution. In the idle time, the server makes outgoing calls. There are multiple ty

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Simulation of Railway Marshalling Yards Based on Four-Phase Queuing Systems,ese objects are key elements for the organization of freight transport on the railway network. In this work, we develop a mathematical model for the operation of a marshalling yard in the form of a four-phase queuing system with . flow and group service of requests. Each phase is a non-Markov multic

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Numerical Methods to Analyses of Queuing Systems with Instantaneous Feedback, Positive Server Setuposed. Arrival rate of calls from outside depends on server status which might be in two regimes: working regime and setup regime. Calls are impatient when server is in setup regime. Two approaches are developed to study the system: matrix-geometric method and space merging method. Results of numeric

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