Download PDF by Shlomi Dolev (auth.), Thomas Erlebach, Sotiris Nikoletseas,: Algorithms for Sensor Systems: 7th International Symposium

By Shlomi Dolev (auth.), Thomas Erlebach, Sotiris Nikoletseas, Pekka Orponen (eds.)

ISBN-10: 3642282091

ISBN-13: 9783642282096

This e-book constitutes the completely refereed post-conference court cases of the seventh overseas Workshop on Algorithms for Sensor structures, instant advert Hoc Networks, and self sustaining cellular Entities, ALGOSENSORS 2011, held in Saarbrücken, Germany, in September 2011. The sixteen revised complete papers awarded including invited keynote talks have been conscientiously reviewed and chosen from 31 submissions. The papers are geared up in tracks: sensor networks, overlaying subject matters akin to localization, lifetime maximization, interference regulate, neighbor discovery, self-organization, detection, and aggregation; and advert hoc instant and cellular platforms together with the themes: routing, scheduling and skill optimization within the SINR version, non-stop tracking, and broadcasting.

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Additional info for Algorithms for Sensor Systems: 7th International Symposium on Algorithms for Sensor Systems, Wireless Ad Hoc Networks and Autonomous Mobile Entities, ALGOSENSORS 2011, Saarbrücken, Germany, September 8-9, 2011, Revised Selected Papers

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The unique radial assignment function R∗ (Y ) corresponding to pinned disks is then given recursively by (R∗ (Y ))i = ri = x1 if i = 1 . xi − (xi−1 + ri−1 ) if 2 ≤ i ≤ m Setting xm + rm = 1 to ensure a perfect fit yields m (−1)m−j xj . 1=2 j=1 We then define the polynomial f (Y ) = − 21 + proof of Lemma 2. m m−j xj , j=1 (−1) and use it in the Proof. (of Proposition 2) ⇒ From our previous argument, a radial assignment that gives perfect coverage necessarily consists of pinned disks that satisfy f (Y ) = 0.

The running time of the one-dimensional target coverage algorithm was later improved to O(n + m), where m is the number of target points to be covered [2]. A PTAS is known for the area coverage version of the problem (again, for coverage efficiency, not lifetime), but no NP-hardness result is known. These results may offer optimal solutions for one moment in time, but do not necessarily lead to an optimal lifetime. 2 Our Contribution Our extension of Restricted Strip Cover is the first to consider the true lifetime for area coverage on the line with adjustable sensing ranges.

But while TOP T = 4, RoundRobin achieves a lifetime of only 2 32 . 4 4 3 3 2 2 1 1 0 0 s1 1 1 2 4 3 s2 4 0 1 0 s1 1 1 2 4 (b) TRR = (a) TOP T = 4 Fig. 3. 548-approximation of TOP T . Clearly, RoundRobin performs best when sensors are located close to 1/2, where the lifetime is close to 2, and poorly for sensors near 0 and 1, where the lifetime is 1. We analyze the average case by assuming that X is a uniform 1 random variable over [0, 1]. v. giving the lifetime of an individual sensor. It is easy to calculate its mean 1 E[T0,1 (X)] = μT 0 dx =2 max(x, 1 − x) 1 dx = 2 ln x x 1 = 2 ln 2 , (1) dx − μ2T = 2 − 4 ln2 2 .

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Algorithms for Sensor Systems: 7th International Symposium on Algorithms for Sensor Systems, Wireless Ad Hoc Networks and Autonomous Mobile Entities, ALGOSENSORS 2011, Saarbrücken, Germany, September 8-9, 2011, Revised Selected Papers by Shlomi Dolev (auth.), Thomas Erlebach, Sotiris Nikoletseas, Pekka Orponen (eds.)


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