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
刊名	SEMIGROUP FORUM
	2015-12-01
卷号	91 期号:3 页码:560-572
关键词	Queueing system Quasi-compactness Irreducibility Exponential stability
ISSN号	0037-1912
DOI	10.1007/s00233-014-9663-3
英文摘要	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.
资助项目	National Natural Science Foundation of China[11201037] ; National Natural Science Foundation of China[11371070]
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER
WOS记录号	WOS:000365164100002
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/21306]
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.