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Realizing the Wireless Internet - Leonard Kleinrock - UCLA

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Giant Stepping<br />

in Packet Radio<br />

• Multihop<br />

• Each hop covers distance R (Tx(<br />

Radius)<br />

• Total distance to cover is D (D>>R)<br />

• Delay per hop = T(R)<br />

• Big R, more interference, fewer hops<br />

• Small R, less interference, more hops<br />

• Total Delay = T(R)[D/R<br />

D/R]<br />

• Choose R=R * to minimize total delay<br />

• dT(R)/dR = T(R)/R optimality condition<br />

Reference: <strong>Kleinrock</strong>, L. "On Giant Stepping in Packet Radio Networks,"<br />

<strong>UCLA</strong>, Packet Radio Temporary Note #5, PRT 136 , March 1975.<br />

©<strong>Leonard</strong> <strong>Kleinrock</strong> 2007

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