Information Technologies and Mathematical Modelling. Queueing Theory and Applications - Info and Reading Options

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Intro -- Preface -- Organization -- Contents -- On a BMAP/G/1 Retrial System with Two Types of Search of Customers from the Orbit -- 1 Intoduction -- 2 The Mathematical Model -- 3 The Stationary Distribution of the Embedded Markov Chain -- 4 Stationary Distributions of the Number of Customers in the Orbit and in the System at Arbitrary Time -- 5 Some Performance Measures -- 6 Conclusions -- References -- Reliability Analysis of a Two-Server Heterogeneous Unreliable Queueing System with a Threshold Control Policy -- 1 Introduction -- 2 Mathematical Model and Stationary Distribution -- 3 Reliability Characteristics of the System and Servers -- 4 Numerical Results -- 5 Conclusion -- References -- Heavy Outgoing Call Asymptotics for MMPP/M/1/1 Retrial Queue with Two-Way Communication -- 1 Introduction -- 2 Model Description and Problem Definition -- 3 Asymptotic Analysis of MMPP/M/1/1 Retrial Queue with Two-Way Communication Under the High Rate of Making Outgoing Calls () -- 3.1 First Order Asymptotic -- 3.2 Second Order Asymptotic -- 4 Asymptotic Analysis of MMPP/M/1/1 Retrial Queue with Two-Way Communication Under the Low Rate of Service Time of Outgoing Calls (2 0) -- 5 Approximation Accuracy P(2)(i) -- 6 Conclusions -- References -- Two-Server Queueing System with Unreliable Servers and Markovian Arrival Process -- 1 Introduction -- 2 Model Description -- 3 Process of the System States -- 4 Stationary Distribution -- 5 Stationary performance measures -- 6 Numerical Examples -- 7 Conclusion -- References -- On the Total Customers' Capacity in Multi-server Queues -- 1 Introduction -- 2 Related Work -- 3 Approximation of Probability Distribution of the Customers' Number in the System -- 4 Characteristic Function for the Total Capacity -- 5 Simulation and Numerical Examples -- 6 Conclusions -- References

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