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Page 2 Lecture Notes in Computer Science 2865 Edited by G. Goos ...

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A Uniform Cont<strong>in</strong>uum Model for Scal<strong>in</strong>g of Ad Hoc Networks 99b = r 1( N-1) . (1)RWe note that b is dimensionless, and, because of the limits on R, satisfies 1 £b£(÷N-1)/2. (Follow<strong>in</strong>g the algebra strictly, R £ D would give 0.5 £b, but it isprecisely as R approaches D that the edge effect beg<strong>in</strong>s to matter, and b1), the rout<strong>in</strong>g overhead, to be the number of packets generated <strong>by</strong>one l<strong>in</strong>k event. As with user data traffic, uniformity implies that every node musttransmit on average g rout<strong>in</strong>g packets per l<strong>in</strong>k event, or gp W packets per unit time. To

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