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

文献类型：期刊论文

作者Hou, Zhenting2; Wang, Bingchang1
刊名INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL
出版日期2011-12-01
卷号7期号:12页码:6799-6814
关键词Markov skeleton process Partial differential-integral equation system Queueing model Minimal nonnegative solution
ISSN号1349-4198
英文摘要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.
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
语种英语
WOS记录号WOS:000297957500013
出版者ICIC INT
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/12407]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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