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

This booklet constitutes the completely refereed post-conference court cases of the seventh foreign Workshop on Algorithms for Sensor structures, instant advert Hoc Networks, and self reliant cellular Entities, ALGOSENSORS 2011, held in Saarbrücken, Germany, in September 2011. The sixteen revised complete papers provided including invited keynote talks have been rigorously reviewed and chosen from 31 submissions. The papers are equipped in tracks: sensor networks, protecting subject matters reminiscent of localization, lifetime maximization, interference keep an eye on, neighbor discovery, self-organization, detection, and aggregation; and advert hoc instant and cellular structures together with the subjects: routing, scheduling and potential optimization within the SINR version, non-stop tracking, and broadcasting.

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Extra 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

Example text

Let A = [0, β], B = [β, 1 − β], and C = [1 − β, 1] be a division of I into three closed intervals. e. - have non-zero radius), but no sensors from B or C are active. Note that in t(1,0,0) (respectively t(0,0,1) ), exactly one sensor is active in A (resp. C). Thus, for any such time block, RoundRobin gives the same solution as OPT. Furthermore, any non-empty time interval in OPT in which only one sensor is active gives the same solution as RoundRobin. It remains to consider the following situations: – t(0,1,0) : The worst position for the sensors are at β and 1 − β, where the radii must be set to at least 1 − β.

While the expected lifetime of a sensor in RoundRobin is independent of the length of the interval it covers, it still performs better when it is near the center of the interval. Specifically, the expected lifetime of a sensor covering an interval b+a [a, b], that is located within a subinterval Ua,b (c) = [ b+a 2 − c, 2 + c] ⊆ [a, b] for b−a some c ∈ [0, 2 ], is given by 1 E[Ta,b (X; c)] = 2c b+a 2 +c b+a 2 −c dx 1 2c = ln 1 + max(x − a, b − x) c b−a . (3) Since the maximum lifetime is 2/(b − a), the expected normalized lifetime is 2c E[Tˆa,b (X; c)] = b−a c ln 1 + b−a , and the normalized variance is: V ar(Tˆa,b (X; c)) = 4 1 − 1 − 1 + b−a 2c b−a 2c · ln 1 + 2c b−a 2 .

Computational Geometry 42(2), 127–133 (2009) 12. : CoverageIissue in Sensor Networks with Adjustable Ranges. In: Proceedings of the 2004 Intl. Conference on Parallel Processing Workshops, pp. 61–68 (2004) 13. html Appendix Pinned Disks. , xm } ⊆ X be the locations of active sensors, so that ri > 0 for all 1 ≤ i ≤ m. 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 .

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