| A General Probability Formula of the Number of Location Areas＇ Boundaries Crossed by a Mobile Between Two Successive Call Arrivals |
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| 引用本文： | Yi-HuaZhu Ding-HuaShi YongXiong JiGao He-ZhiLuo. A General Probability Formula of the Number of Location Areas＇ Boundaries Crossed by a Mobile Between Two Successive Call Arrivals[J]. 计算机科学技术学报, 2004, 19(2): 177-182. DOI: 10.1007/BF02944795 |
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| 作者姓名： | Yi-HuaZhu Ding-HuaShi YongXiong JiGao He-ZhiLuo |
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| 作者单位： | [1]InstituteofInformationIntelligenceandDecisionOptiTnization,ZhejiangUniversityofTechnology,Hangzhou310032,P.R.China [2]DepartmentofMathematics,CollegeofScience,ShanghaiUniversity,Shanghai200436,P.R.China [3]InstituteofArtificialIntelligence,ZhejiangUniversity,Hangzhou310027,P.R.China [4]CollegeofScience,ZhejiangUniversityofTechnology,Hangzhou310032,P.R.China |
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| 基金项目： | 国家自然科学基金,浙江省自然科学基金 |
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| 摘 要： | Mobility management is a challenging topic in mobile computing environment. Studying the situation of mobiles crossing the boundaries of location areas is significant for evaluating the costs and performances of various location management strategies. Hitherto, several formulae were derived to describe the probability of the number of location areas‘ boundaries crossed by a mobile. Some of them were widely used in analyzing the costs and performances of mobility management strategies. Utilizing the density evolution method of vector Markov processes, we propose a general probability formula of the number of location areas‘ boundaries crossed by a mobile between two successive calls. Fortunately, several widely-used formulae are special cases of the proposed formula.
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| 关 键 词： | 灵活计算 单元管理 个人通信系统 一般概率公式 顺序呼叫到达 |
A general probability formula of the number of location areas' boundaries crossed by a mobile between two successive call arrivals |
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| Yi-Hua?ZhuEmail author,Ding-Hua?Shi,Yong?Xiong,Ji?Gao,He-Zhi?Luo. A general probability formula of the number of location areas' boundaries crossed by a mobile between two successive call arrivals[J]. Journal of Computer Science and Technology, 2004, 19(2): 177-182. DOI: 10.1007/BF02944795 |
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| Authors: | Yi-Hua?Zhu author-information" > author-information__contact u-icon-before" > mailto:yhzhu@zjut.edu.cn" title=" yhzhu@zjut.edu.cn" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,Ding-Hua?Shi,Yong?Xiong,Ji?Gao,He-Zhi?Luo |
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| Affiliation: | (1) Institute of Information Intelligence and Decision Optimization, Zhejiang University of Technology, 310032 Hangzhou, P. R. China;(2) Department of Mathematics, College of Science, Shanghai University, 200436 Shanghai, P. R. China;(3) Institute of Artificial Intelligence, Zhejiang University, 310027 Hangzhou, P. R. China;(4) College of Science, Zhejiang University of Technology, 310032 Hangzhou, P. R. China |
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| Abstract: | Mobility management is a challenging topic in mobile computing environment. Studying the situation of mobiles crossing the boundaries of location areas is significant for evaluating the costs and performances of various location management strategies. Hitherto, several formulae were derived to describe the probability of the number of location areas' boundaries crossed by a mobile. Some of them were widely used in analyzing the costs and performances of mobility management strategies. Utilizing the density evolution method of vector Markov processes, we propose a general probability formula of the number of location areas' boundaries crossed by a mobile between two successive calls. Fortunately, several widely-used formulae are special cases of the proposed formula. The project is supported by the National Natural Science Foundation of China (Grant No.70171059) and Zhejiang Provincial Natural Science Foundation of China (Grant No.602095). Yi-Hua Zhu received his B.S. degree in mathematics from Zhejiang Normal University, China, in July 1982; M.S. degree in operation research and cybernetics from Shanghai University, China in April 1993, and Ph.D. degree in computer science from Zhejiang University, China, in March 2003. He is a professor at Zhejiang University of Technology. His current research interests include wireless networks, mobile computing and mobility management. He has published some papers in journals such as Acta Electronic Sinica, Journal of Computer Research and Development, Journal of China Institute of Communications, and Pattern Recognition & Artificial Intelligence. Ding-Hua Shi graduated from Mathematics Department of Jiangxi University in 1963. He is an supervisor of Ph.D. candidates in operations research and cybernetics. He is also a professor in the Mathematics Department of Shanghai University. His research interests are stochastic models, intelligent algorithms, bioinformatics and systems science. He has published more than 80 research papers and 4 academic books. Yong Xiong received his B.S. degree in mathematics from Nanchang University, China, in July 1996, and the Ph.D. degree in operation research and cybernetics from Shanghai University, Shanghai, China in July 2003. He is a post-doctoral researcher in Shanghai Institute of Micro-system & Information Technology, the Chinese Academy of Sciences. His research interests are stochastic models, coding theory, and mobile calculating. He has published 4 papers in journals. Ji Gao is an supervisor of Ph.D. candidates in computer science and a professor at Zhejiang University, China. His primary focus is on network computing, software engineering, artificial intelligence, and software agent. He has published tens of research papers. He-Zhi Luo received his M.S. degree in applied mathematics from Zhejiang Normal University, China, in July 2001. He is a lecturer in Science College of Zhejiang University of Technology. His current research interests are optimization theory and application. He has published several papers in OR Transactions, Journal of Zhejiang Normal University, and Journal of Zhejiang University of Technology. |
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| Keywords: | mobile computing location management mobility management |
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