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

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232 F.J. Mol<strong>in</strong>a, J. Barbancho, and J. LuqueLR - Large range nodeAggregation po<strong>in</strong>t(2) Response toLR node po<strong>in</strong>t(1) Response(3) Token sentFig. 5. Simultaneously collect<strong>in</strong>g tokens: poll<strong>in</strong>g scheme 3.<strong>in</strong>terference are not considered, then collect<strong>in</strong>g time decreases to a factor equalto the number of tokens. Obviously, collisions <strong>in</strong>crease as the number of tokens<strong>in</strong>crease. Many response tokens travel to the root node, creat<strong>in</strong>g an implosionproblem [19] (which is greater near the root node). To avoid this, we propose apoll<strong>in</strong>g scheme based on Short range - Long Range topology. The root node mustsend poll<strong>in</strong>g tokens to each node <strong>in</strong> the LR subnet. Each LR node collects datafrom all their sub-trees, aggregat<strong>in</strong>g and stor<strong>in</strong>g data, without pass<strong>in</strong>g them toroot. LR nodes only send data when the UC requests them. The node applicationprotocol does not change significantly with respect to the second schedule, so thisvariant is fundamentally the same one for nodes. As it is shown <strong>in</strong> figure 5, poll<strong>in</strong>gtokens are pass<strong>in</strong>g simultaneously over different areas, so collision probabilityis low. Suppos<strong>in</strong>g that all the clusters have approximately the same numberof nodes (long-range and short range densities are homogeneous), neglect<strong>in</strong>gcollisions and second order effects, then:CT 3 =( NSR)CharSize· ATS · NT SR + N · ATS · NT LR ·N LR BaudRateAnd suppos<strong>in</strong>g that N SR ≈ N, and apply<strong>in</strong>g (equation 2)CT 3CT 1=11+ PTSAT S·1(10)1+ NT SRNT LR(11)Us<strong>in</strong>g topology parameters for Seville, this scheme may reach CT 3 = CT 1 /10.

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