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A computer simulation of two-dimensional mobile radio systems arranged with square coverage areas on a square grid and using dynamic channel assignment techniques is described. Parameters for the simulation are: (i) 729 distinct coverage areas (27 on a side), (ii) 160 radio channels and (iii) a radio channel reuse interval of every fourth coverage area. Three different channel assignment strategies are considered and the results are compared to previous one-dimensional simulated systems and to a fixed channel assignment system. At call blocking rates below about 10 percent, the two-dimensional dynamic channel assignment systems carry more traffic and produce fewer forced call terminations at coverage cell boundaries than do fixed channel assignment systems. For example, at a blocking rate of 1 percent, the traffic carried, TC, expressed in Erlangs per channel per coverage area by the various systems are as follows: fixed channel assignment systems, TC = 0.44, one-dimensional dynamic channel assignment system, TC = 0.62, two-dimensional dynamic channel assignment system, TC = 0.63.
Cox et al. (1972) studied this question.