Nonstationary Characteristics of a Single - Server Queue System with Nonordinary Input Flow

被引：0
|
作者：
Gadzhiev, A. G. [1 ]
Kasumov, A. B. [2 ]
机构：
[1] Natl Acad Sci Azerbaijan, Inst Cybernet, Ul Vagabzade 9, Baku AZ1141, Azerbaijan
[2] Azerbaijan Tech Univ, Baku AZ1073, Azerbaijan
来源：
AUTOMATIC CONTROL AND COMPUTER SCIENCES | 2014年 / 48卷 / 02期
关键词：
double Laplace transform; service rate; queue length; Markov process; eigen process; stationary distribution;
D O I：
10.3103/S0146411614020035
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A single-server queue system with nonordinary input flow that depends on the queue length is considered. Sufficient existence conditions for the stationary distribution of the queue length provided that the process under study is an eigen process are obtained. Recurrence formulas for the Laplace transform of the nonstationary distributions of the queue length are derived.
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页码：80 / 86
页数：7
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