Performance analysis of a mobile communication network: the tandem case

  • Authors:
  • Attahiru Sule Alfa;Bin Liu

  • Affiliations:
  • Department of Electrical and Computer Engineering, University of Manitoba, Winnipeg, Manitoba, Canada R3T 5V6;Institute of Applied Mathematics, AMSS, Chinese Academy of Sciences, Beijing 100080, P.R. China

  • Venue:
  • Computer Communications
  • Year:
  • 2004

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Abstract

This paper investigates mobile communication networks consisting of N-cells in tandem. Two models with fixed channel assignment are considered, which correspond to (A) a uni-directional traffic flow and (B) bi-directional traffic flows, respectively. We develop an approximate method to obtain main performance measures of systems such as the loss probabilities of handover calls and fresh calls, and the expected number of occupied channels in each cell. Our approximation is based on decomposing the N-cells in tandem network into N-1 pairs of cells with overlaps. The stochastic correlation among neighboring pairs are captured by appropriately selecting the state-dependent Poisson processes as the approximation of handover processes. Some numerical examples are given to demonstrate the accuracy and the convergence of the proposed approach.