By Shlomi Dolev (auth.), Thomas Erlebach, Sotiris Nikoletseas, Pekka Orponen (eds.)
This ebook constitutes the completely refereed post-conference complaints of the seventh foreign Workshop on Algorithms for Sensor platforms, 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 rigorously reviewed and chosen from 31 submissions. The papers are equipped in tracks: sensor networks, overlaying subject matters reminiscent of 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 capability 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
866–877. Springer, Heidelberg (2005) 3. : Parallel approximation algorithms for facilitylocation problems. In: Proceedings of the 22nd Annual ACM Symposium on Parallelism in Algorithms and Architectures (SPAA), pp. 315–324 (2010) 4. : Linear-work greedy parallel approximation algorithms for set covering and variants. In: Proceedings of the 23rd Annual ACM Symposium on Parallelism in Algorithms and Architectures, SPAA (2011) 5. : An Optimal Bifactor Approximation Algorithm for the Metric Uncapacitated Facility Location Problem.
6 6 5 5 4 4 3 3 2 2 1 1 0 0 s1 1 4 1 s2 2 3 4 s3 1 (a) TOP T → 6 Fig. 2. Proof that Greedy is at best a happens as → 0. 3 0 0 s1 1 4 1 s2 2 3 4 s3 1 (b) TGreedy → 5 5 -approximation. 6 Both diagrams show what Analysis of RoundRobin Algorithms Let T¯ = T /n ∈ [0, 2] be the average network lifetime per sensor. 1 RoundRobin In its simplest incarnation, RoundRobin simply forces each sensor to successively cover all of U for as long as possible. That is, each sensor i is assigned a radius of ri = max(xi , 1 − xi ), and is pushed onto a single queue.
In any case, the goal of a good sensor S is to minimize the normalized cumulative loss LS (xn1 ). Polymatroids, Matroids and Entropic Vectors. Let K be an index set of size K and N be the power set of K. A function g : N → R deﬁnes a polymatroid (K, g) with a ground set K and rank function g if it satisﬁes the following conditions : g(∅) = 0, g(I) ≤ g(J) for I ⊆ J ⊆ K, g(I) + g(J) ≥ g(I ∪ J) + g(I ∩ J) for I, J ⊆ K. (1) (2) (3) For a polymatroid g with ground set K, we represent g by the vector (g(I) : I ⊆ K K) ∈ R2 −1 deﬁned on the ordered, non-empty subsets of K.