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.
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收藏
页数：11
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