On the Convergence Rate for Queueing and Reliability Models Described by Regenerative Processes*
- 作者: Afanasyeva L.1, Tkachenko A.2
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隶属关系:
- Lomonosov Moscow State University
- National Research University Higher School of Economics
- 期: 卷 218, 编号 2 (2016)
- 页面: 119-136
- 栏目: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/238180
- DOI: https://doi.org/10.1007/s10958-016-3015-7
- ID: 238180
如何引用文章
详细
Convergence rates in total variation are established for some models of queueing theory and reliability theory. The analysis is based on renewal technique and asymptotic results for the renewal function. It is shown that convergence rate has an exponential asymptotics when the distribution function of the regeneration period satisfies Cramér’s condition. Results concerning polynomial convergence are also obtained.
作者简介
L. Afanasyeva
Lomonosov Moscow State University
编辑信件的主要联系方式.
Email: afanas@mech.math.msu.su
俄罗斯联邦, Moscow
A.V. Tkachenko
National Research University Higher School of Economics
Email: afanas@mech.math.msu.su
俄罗斯联邦, Moscow