By Shlomi Dolev (auth.), Thomas Erlebach, Sotiris Nikoletseas, Pekka Orponen (eds.)
This publication constitutes the completely refereed post-conference lawsuits of the seventh overseas 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 awarded including invited keynote talks have been conscientiously reviewed and chosen from 31 submissions. The papers are equipped in tracks: sensor networks, masking issues reminiscent of localization, lifetime maximization, interference regulate, neighbor discovery, self-organization, detection, and aggregation; and advert hoc instant and cellular platforms together with the subjects: routing, scheduling and capability 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
Approximation algorithms for metric facility location and k-median problems using the primal-dual schema and lagrangian relaxation. Journal of the ACM 48(2), 274–296 (2001) 26 S. Abshoﬀ et al. 13. : A simple parallel algorithm for the maximal independent set problem. In: Proceedings of the Seventeenth Annual ACM Symposium on Theory of Computing, pp. 1–10 (1985) 14. : Improved Approximation Algorithms for Metric Facility Location Problems. V. ) APPROX 2002. LNCS, vol. 2462, pp. 229–242. Springer, Heidelberg (2002) 15.
I−1 Now, we describe the step from ei−1 to ei and claim ei ≤ e1+ + 4μ3/p for i > 0. By deﬁnition of ei−1 , nodes with radii at most ri−1 = (1 + )i−1 · rk can be at a distance of at most ei−1 · rk from k. Let m be such a node and let l be a node with radius ri = (1 + )i · k which changes its role due to a role change of m. This node l must be within distance 2μ3/p ri of m. If l needs to be opened, then m must have closed. No invariant of nodes with radius ri is aﬀected. If l needs to be closed, then m must have opened.
However, this approach is no longer feasible in our (more realistic and more general) model, where nodes can execute the algorithm simultaneously. For example, imagine a problem instance with only two nodes, both have the facility role and the same radius, and they are positioned in such a way that they mutually violate each other’s invariant. If both become active at the same time, they will both become clients. Now, both their invariants are violated again so they both change their role to facility and everything is repeated.
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.)