Quasi-compactness and irreducibility of queueing models

doi:10.1007/s00233-014-9663-3

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	Quasi-compactness and irreducibility of queueing models
	Zheng, Fu 1,2; Guo, Bao-Zhu2
	2015-12-01
发表期刊	SEMIGROUP FORUM
ISSN	0037-1912
卷号	91 期号:3 页码:560-572
摘要	In this paper, the quasi-compactness and irreducibility of two queueing systems are investigated by abstract functional analytical methods. More precisely, the systems fit into Greiner's framework and Greiner's idea of boundary perturbation of the generator is utilized. Quasi-compactness or irreducibility of the semigroup generated by the system operator is obtained through special properties of the boundary perturbation operators. Moreover, the exponential stability of the queueing models is analyzed based on the quasi-compactness and irreducibility.
关键词	Queueing system Quasi-compactness Irreducibility Exponential stability
DOI	10.1007/s00233-014-9663-3
语种	英语
资助项目	National Natural Science Foundation of China[11201037] ; National Natural Science Foundation of China[11371070]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000365164100002
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/21307
专题	系统科学研究所
通讯作者	Zheng, Fu
作者单位	1.Bohai Univ, Dept Math, Jinzhou 121013, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Zheng, Fu,Guo, Bao-Zhu. Quasi-compactness and irreducibility of queueing models[J]. SEMIGROUP FORUM,2015,91(3):560-572.
APA	Zheng, Fu,&Guo, Bao-Zhu.(2015).Quasi-compactness and irreducibility of queueing models.SEMIGROUP FORUM,91(3),560-572.
MLA	Zheng, Fu,et al."Quasi-compactness and irreducibility of queueing models".SEMIGROUP FORUM 91.3(2015):560-572.