Bounds and asymptotics for the rate of convergence of birth-death processesстатья
Информация о цитировании статьи получена из
Web of Science ,
Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 22 декабря 2015 г.
Авторы:
Van Doorn E.A. ,
Zeifman A.I. ,
Panfilova T.L.
Журнал:
Theory of Probability and its Applications
Том:
54
Номер:
1
Год издания:
2010
Издательство:
Society for Industrial and Applied Mathematics
Местоположение издательства:
United States
Первая страница:
97
Последняя страница:
113
DOI:
10.1137/S0040585X97984097
Аннотация:
The first part of the paper is a review; it describes the proposed approach and gives the general basis of the method constructed by one of the authors in the 1990s in order to obtain estimates and explicit representations for the rates of convergence for birth-death processes. The second part of the paper presents new results obtained with the described method, which has been applied to specific classes of birth-death processes related to mean-field models and the M/M/N/N + R queueing system related to the asymptotic behavior of the rate of convergence in the case when the number of states of the process tends to infinity. © 2010 Society for Industrial and Applied Mathematics.
Добавил в систему:
Зейфман Александр Израилевич