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

獎牌

,Energy Efficiency of?a?Single-Server with?Inactive State by?Matrix-Analytic Method,We consider a single-server system with energy saving inactive state, non-zero setup, shutoff and hot reserve state. Matrix-analytic method is used to obtain the steady-state performance and average power demand, as well as study the energy-performance tradeoff in explicit way. Numerical results illustrate the model’s properties.

Abjure

尾隨

tangle

,N-Policy for?a?Production Inventory System with?Positive Service Time,m performance measures are defined, and the effect of system parameters on performance measures is illustrated numerically. The Optimal (.,?.) pair is determined for the specific set of parameter values, and the effects of the parameters on the cost function are graphically illustrated.

Integrate

,Generalised Self-induced Service Interruption and?Consequent Reduced Priority in?Discrete-Time Queutrix-Analytic Method extended to the infinite phase is used to analyze the model. The stability condition for the system is derived. The marginal distributions of both higher and lower priority queue lengths in each discipline are studied. Numerical experiments are incorporated to illustrate the calculation of the rate matrix and queue lengths.

重疊

On Comparison of Waiting Time Extremal Indexes in Queueing Systems with Weibull Service Times,the same conditions, the normalizing sequences of the stationary waiting times and their extremal indexes are ordered. These results are then illustrated numerically for ././1 queues with different shape parameters of the Weibull service times.

裂隙

,Optimization of?the?Adaptive Control System for?Conflict Cox–Lewis Flows,been studied. The transient process is investigated and an algorithm for searching the moment of the end of the transient process is proposed. By the numerical optimization, the quasi-optimal parameters of the system were found according to the condition of the minimum average waiting time for service.

Agnosia

Conference proceedings 2022ll papers presented in this volume were carefully reviewed and selected from 89 submissions. The conference covers various aspects of information technologies, focusing on queueing theory, stochastic processes, Markov processes, renewal theory, network performance equation and network protocols.?.

引水渠

,Analysis of?the?Polling System with?Two Markovian Arrival Flows, Finite Buffers, Gated Service and?nd underlying processes of service or switching time and of arrival process is computed. Expressions for Laplace-Stieltjes transforms of distribution of waiting times of customers in both buffers are obtained. Numerical results giving some insight into performance of the system are presented.

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