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Analysis of Queueing Systems with an Infinite Number of Servers and a Small Parameter

Authors: Vasilyev S.A.; Tsareva G.O.;

Analysis of Queueing Systems with an Infinite Number of Servers and a Small Parameter

Abstract

В данной работе рассматривается динамика крупномасштабных систем массового обслуживания с бесконечным числом обслуживающих приборов. Предполагается, что имеется входящий пуассоновский поток заявок с интенсивностью

In this paper we consider the dynamics of large-scale queueing systems with an infinite number of servers. We assume that there is a Poisson input flow of requests with intensity

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Keywords

дифференциальные уравнения бесконечного порядка, малый параметр, small parameter, счётные марковские цепи, large-scale queueing systems, countable Markov chains, differential equations of infinite order, сингулярные возмущённые системы дифференциальных уравнений, крупномасштабные системы массового обслуживания, singular perturbed systems of differential equations

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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Average
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