Titlebook: Information Technologies and Mathematical Modelling. Queueing Theory and Applications; 20th International C Alexander Dudin,Anatoly Nazarov

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,Analysis of Open Queueing Networks with Batch Services,ngle server and an infinite waiting queue. Arrivals are served in fixed-size batches: if the number of customers in a node is less than the predefined batch size, the server remains idle, otherwise he will select the required number of customers, which then will be served as a unique batch with expo

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On Comparison of Waiting Time Extremal Indexes in Queueing Systems with Weibull Service Times,tributions. We deduce conditions under which the service times in two different queueing systems are stochastically ordered. Then we show that, under the same conditions, the normalizing sequences of the stationary waiting times and their extremal indexes are ordered. These results are then illustra

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,On the Existence of the Stationary Distribution in a Cyclic Polling System with Autoregressive Poisime intervals makes an autoregressive sequence with conditional Poisson distributions. A single server serves input flows one by one in cyclic order with instantaneous switching. A .-limited policy is used. The mathematical model of the queueing process takes form of a multidimensional discrete Mark

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,Application of ,-out-of-,:G System and Machine Learning Techniques on Reliability Analysis of Tethetem. An analytical model of the .-out-of-.:G system under two system failure scenarios is considered. In the first case, the system failure occurs after . elements failure. The second one examines the system failure depending on the location of the failed elements. The sensitivity analysis of system

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,Mathematical Model of the Tandem Retrial Queue M | GI | 1 | M | 1 with a Common Orbit,ovides services for incoming calls for an arbitrary random time, while the second server does for an exponentially distributed random time. Blocked customers at either the first server or the second server join the orbit and stay there for an exponentially distributed time before retrying to enter t

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Analyzing the Effect of Catastrophic Breakdowns with Retrial Queues in a Two-Way Communication Systtem has two sources. The first source is finite, the second source is infinite. Jobs from the first source are the primary jobs (requests). They can be called as first order job, as well. Jobs from the second source are the secondary jobs. They can be called as second order job, as well. In case of