Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Convergence in the Calculation of the Handoff Arrival Rate: A Log-Time Iterative Algorithm | Hindawi Publishing Corporation EURASIP Journal on Wireless Communications and Networking Volume 2006 Article ID 15876 Pages 1-11 DOI WCN 2006 15876 Convergence in the Calculation of the Handoff Arrival Rate A Log-Time Iterative Algorithm Dilip Sarkar 1 Theodore Jewell 2 and S. Ramakrishnan3 1 Department of Computer Science University of Miami Coral Gables FL 33124 USA 2 The Taft School Watertown CT 06795-2100 USA 3 Department of Mathematics University of Miami Coral Gables FL 33124-4250 USA Received 23 March 2005 Revised 23 August 2005 Accepted 17 October 2005 Recommended for Publication by Vincent Lau Modeling to study the performance of wireless networks in recent years has produced sets of nonlinear equations with interrelated parameters. Because these nonlinear equations have no closed-form solution the numerical values of the parameters are calculated by iterative algorithms. In a Markov chain model of a wireless cellular network one commonly used expression for calculating the handoff arrival rate can lead to a sequence of oscillating iterative values that fail to converge. We present an algorithm that generates a monotonic sequence and we prove that the monotonic sequence always converges. Lastly we give a further algorithm that converges logarithmically thereby permitting the handoff arrival rate to be calculated very quickly to any desired degree of accuracy. Copyright 2006 Dilip Sarkar et al. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. 1. INTRODUCTION Wireless cellular networks provide service to mobile terminals which can move from a given cell to any adjacent cell multiple times during the lifetime of a particular call. Therefore a wireless network must take into account the rate at which ongoing calls arrive from neighboring cells in addition to the arrival rate of new calls. When
