On the Rate of Convergence and Limiting Characteristics for a Nonstationary Queueing Model

被引：3

作者：

Satin, Yacov ^{[1
]}

Zeifman, Alexander ^{[1
,2
,3
]}

Kryukova, Anastasia ^{[1
]}

机构：

[1] Vologda State Univ, Dept Appl Math, Vologda 160000, Russia

[2] Russian Acad Sci, Fed Res Ctr Comp Sci & Control, Inst Informat Problems, Moscow 119333, Russia

[3] Russian Acad Sci, Vologda Res Ctr, Vologda 160014, Russia

来源：

MATHEMATICS | 2019年 / 7卷 / 08期

基金：

俄罗斯科学基金会;

关键词：

queueing systems; rate of convergence; non-stationary; Markovian queueing models; limiting characteristics; PERTURBATION BOUNDS; TIME; STABILITY; SYSTEMS; BIRTH;

D O I：

10.3390/math7080678

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Consideration is given to the nonstationary analogue of M/M/1 queueing model in which the service happens only in batches of size 2, with the arrival rate lambda(t) and the service rate mu(t). One proposes a new and simple method for the study of the queue-length process. The main probability characteristics of the queue-length process are computed. A numerical example is provided.

引用

页数：11

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