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Почти детерминированный режим в одноканальной системе массового обслуживания

Почти детерминированный режим в одноканальной системе массового обслуживания

Abstract

Оценивается влияние малых случайных возмущений на функционирование детерминированной открытой системы массового обслуживания в режиме большой загрузки. Доказано, что в зависимости от значения некоторого параметра, определяющего малость случайной флуктуации от коэффициента загрузки, предельное распределение времени ожидания сходится к нулю или к бесконечности. Величина значения параметра, при котором происходит переход от нуля к бесконечности, определяется максимальной тяжестью хвостов распределений времени обслуживания и интервалом между приходом заявок.

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Keywords

распределения с тяжелыми хвостами, режим большой загрузки, система обслуживания GǀGǀ1ǀ∞, почти детерминированный режим, время ожидания начала обслуживания

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    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).
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    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.
    Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Average
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Average
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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
Average
Average
Green