MARKOV SKELETON PROCESS APPROACH TO A CLASS OF PARTIAL DIFFERENTIAL-INTEGRAL EQUATION SYSTEMS ARISING IN OPERATIONS RESEARCH

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	MARKOV SKELETON PROCESS APPROACH TO A CLASS OF PARTIAL DIFFERENTIAL-INTEGRAL EQUATION SYSTEMS ARISING IN OPERATIONS RESEARCH
	Hou, Zhenting 2; Wang, Bingchang 1
	2011-12-01
发表期刊	INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL
ISSN	1349-4198
卷号	7 期号:12 页码:6799-6814
摘要	A class of partial differential-integral equation systems is derived in operations research including queueing theory, inventory and reliability. The existence and uniqueness for solutions of the class of equation systems have not been investigated yet. In this paper, we present a solution to the class of partial differential-integral equation system via the Markov skeleton process theory and then obtain the existence of the solutions to such equation systems. Furthermore, we prove that the solution is the minimal nonnegative solution of a linear equation system.
关键词	Markov skeleton process Partial differential-integral equation system Queueing model Minimal nonnegative solution
语种	英语
资助项目	National Natural Science Foundation of China[90820302] ; National Natural Science Foundation of China[11071258] ; Research Fund for the Doctoral Program of Higher Education of China[20090162110058]
WOS研究方向	Automation & Control Systems ; Computer Science
WOS类目	Automation & Control Systems ; Computer Science, Artificial Intelligence
WOS记录号	WOS:000297957500013
出版者	ICIC INT
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/12408
专题	中国科学院数学与系统科学研究院
通讯作者	Wang, Bingchang
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Cent S Univ, Sch Math, Changsha 410075, Hunan, Peoples R China
推荐引用方式 GB/T 7714	Hou, Zhenting,Wang, Bingchang. MARKOV SKELETON PROCESS APPROACH TO A CLASS OF PARTIAL DIFFERENTIAL-INTEGRAL EQUATION SYSTEMS ARISING IN OPERATIONS RESEARCH[J]. INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL,2011,7(12):6799-6814.
APA	Hou, Zhenting,&Wang, Bingchang.(2011).MARKOV SKELETON PROCESS APPROACH TO A CLASS OF PARTIAL DIFFERENTIAL-INTEGRAL EQUATION SYSTEMS ARISING IN OPERATIONS RESEARCH.INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL,7(12),6799-6814.
MLA	Hou, Zhenting,et al."MARKOV SKELETON PROCESS APPROACH TO A CLASS OF PARTIAL DIFFERENTIAL-INTEGRAL EQUATION SYSTEMS ARISING IN OPERATIONS RESEARCH".INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL 7.12(2011):6799-6814.