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Analytical Investigation of a Single-Channel QS with Incoming Asynchronous Event Flow
AbstractWe consider a single-channel queuing system with an incoming asynchronous double-stochastic two-state request flow (MMPP-flow—Markovian...
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On Estimates of the Mean Queue Length for Single-Channel Queuing Systems in Terms of Statistical Unconditional Second-Order Moments of the Modified Arrival Flow
AbstractWe consider a mathematical model of the simplest single-channel queuing system (QS) with a deterministic service time in the case of an...
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Matrix-Geometric Method for the Analysis of a Queuing System with Perishable Inventory
AbstractMarkov models of queuing systems with perishable stocks and an infinite buffer are studied using two replenishment policies. In one of them,...
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Asymptotic Analysis of Resource Heterogeneous QS \( (\mathrm {MMPP}+2\mathrm {M})^{(2,\nu )}/\mathrm {GI}(2)/\infty \) under Equivalently Increasing Service Time
AbstractWe consider a resource heterogeneous queuing system with a flexible two-node request-response facility. Each node has a certain resource...
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Two phase of service in M/G/1 queueing system with retrial customers
A single server retrial queueing system with two phases of service for retrial customers are investigated in this article. Here, consumers are...
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Mathematical Model of LTE Cells with Machine-Type and Broadband Communications
We present a queuing system with elastic and inelastic jobs for the analysis of the joint transmission of traffic from machine-type and broadband...
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Modeling of Transport Processes in the Optimization and Functioning of the Transport Space
The most characteristic tasks of the organization of transport space for almost any type of transport are the tasks of choosing a network of traffic...
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Analysis and Optimization of a Controlled Model for a Closed Queueing Network
We consider a closed network consisting of two queuing systems: the main system simulates a packet transmission queue over an unreliable...
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A Stochastic Model of Bilateral Oligopoly and Price Control for Competition on High-Tech Product Markets
We consider the problem of strategic competition management on the markets of high-tech industry. We take into account that an aggressive pricing...
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Estimation of the Rate of Convergence in the Limit Theorem for Extreme Values of Regenerative Processes
We establish the rate of convergence to the exponential distribution in the general limit theorem for the extreme values of regenerative processes....
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Stochastic gene expression and regulatory networks
Genetically identical cells exposed to the same environmental conditions can show significant variation in molecular content and marked differences...
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Queueing systems with correlated arrival flows and their applications to modeling telecommunication networks
We give a brief survey of literature devoted to studying queueing systems with Markovian and batch Markovian arrival processes and their application...
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On the total amount of resources occupied by serviced customers
We consider a model of a multi-server queueing system with losses caused by lack of resources necessary to service claims. A claim accepted for...
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Hierarchical Space Merging Algorithm for the Analysis of Open Tandem Queueing Networks
The Markov model of a two-stage queueing network with feedback is proposed. Poisson flows arrive to both stages from outside. A part of already...
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Numerical method for the analysis of queuing models with priority jumps1
An algorithmic approach to study queuing models with common finite and infinite buffer and jump priorities is developed. It is assumed that upon...
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Control and observation for dynamical queueing networks. I
For the optimal control problem for a queueing network state, we write the Bellman equation and give examples of its analytic and numerical...
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The computation algorithm of capacity indices of the telecommunication networks with repeated transmissions
The results are presented of the investigation of an approximate method for the calculation of characteristics of the telecommunication network of...
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Investigation of call centers as retrial queuing systems
The paper analyzes the mathematical models of call centers that take into account repeated calls and the specific features and key aspects of...
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Dependence of performance indices of a call center on the distribution of calls’ sojourn time in the orbit
The operation of a call center is described in the form of a retrial queuing system. The dependence of its performance indices on the Markovian and...
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Stationary characteristics of a single-channel queuing system with one waiting space
A semi-Markovian model of a queuing system, with a discrete-continuous phase space of states is developed. Its main stationary characteristics are...