REGULAR VARIATION IN A FIXED-POINT PROBLEM FOR SINGLE- AND MULTI-CLASS BRANCHING PROCESSES AND QUEUES

Soren Asmussen; Sergey Foss

doi:10.1017/apr.2018.69

REGULAR VARIATION IN A FIXED-POINT PROBLEM FOR SINGLE- AND MULTI-CLASS BRANCHING PROCESSES AND QUEUES

Soren Asmussen, Sergey Foss

Лаборатория прикладной вероятности ММФ

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

2 Цитирования (Scopus)

Аннотация

Tail asymptotics of the solution R to a fixed-point problem of the type R =(D) Q + Sigma(N)(1) R-m are derived under heavy-tailed conditions allowing both dependence between Q and N and the tails to be of the same order of magnitude. Similar results are derived for a K-class version with applications to multi-type branching processes and busy periods in multi-class queues.

Язык оригинала	английский
Страницы (с-по)	47-61
Число страниц	15
Журнал	Advances in Applied Probability
Том	50
Номер выпуска	A
DOI	https://doi.org/10.1017/apr.2018.69
Состояние	Опубликовано - 1 дек. 2018

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10.1017/apr.2018.69

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REGULAR VARIATION IN A FIXED-POINT PROBLEM FOR SINGLE- AND MULTI-CLASS BRANCHING PROCESSES AND QUEUES. / Asmussen, Soren; Foss, Sergey.

В: Advances in Applied Probability, Том 50, № A, 01.12.2018, стр. 47-61.

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

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