Titlebook: Information Technologies and Mathematical Modelling - Queueing Theory and Applications; 14th International S Alexander Dudin,Anatoly Nazaro

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Methods for Analysis of Queueing Models with Instantaneous and Delayed Feedbacks, the proposed models are developed. Exact method is based on the system of balance equations (SBE) for steady-state probabilities of appropriate three dimensional Markov chain (3-D MC) while asymptotic method uses the new hierarchical space merging algorithm for 3-D MC. Results of numerical experiments are demonstrated.

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Asymptotic Analysis of the Queueing Network ,,bution of customers at the network nodes can be approximated by multi-dimensional Gaussian distribution which parameters are obtained in the paper. Presented results of numerical experiments allow to determine the approximation applicability.

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Research of Mathematical Model of Insurance Company in the Form of Queueing System with Unlimited Ntribution of a two-dimensional stochastic process of a number of risks that are insured in the company and a number of benefit payments. We also got expressions for the expected values and variances of components of a two-dimensional process. Total benefit payments is reviewed and its distribution and numerical characteristic are found.

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Conference proceedings 2015eviewedand selected from 89 submissions. They are devoted to new results in thequeueing theory and its applications, addressing specialists in probabilitytheory, random processes, mathematical modeling as well as engineers dealingwith logical and technical design and operational management oftelecommunication and computer networks..

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978-3-319-25860-7Springer International Publishing Switzerland 2015

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Information Technologies and Mathematical Modelling - Queueing Theory and Applications978-3-319-25861-4Series ISSN 1865-0929 Series E-ISSN 1865-0937

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Determination of Loss Characteristics in Queueing Systems with Demands of Random Space Requirement,We investigate queueing systems with demands having some random space requirements (capacities) and service times generally depending on their capacities. For such systems, we discus the problem of steady-state loss characteristics determination, calculate these characteristics for some special cases and present a way for their estimation.