A general probability formula of the number of location areas' boundaries crossed by a mobile between two successive call arrivals

Authors:
Yi-Hua Zhu;Ding-Hua Shi;Yong Xiong;Ji Gao;He-Zhi Luo
Affiliations:
Institute of Information Intelligence and Decision Optimization, Zhejiang University of Technology, Hangzhou 310032, P.R. China;Department of Mathematics, College of Science, Shanghai University, Shanghai 200436, P.R. China;Department of Mathematics, College of Science, Shanghai University, Shanghai 200436, P.R. China;Institute of Artificial Intelligence, Zhejiang University, Hangzhou 310027, P.R. China;College of Science, Zhejiang University of Technology, Hangzhou 310032, P.R. China
Venue:
Journal of Computer Science and Technology
Year:
2004

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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.