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

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Improved Priority Scheme for Unreliable Queueing System,in the loss of a customer or repetition of its service. According to this discipline, arriving customers are stored in the finite buffers dedicated to the customers of the corresponding type if the buffer is not full. After the staying in the corresponding buffer during the exponentially distributed
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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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