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Geometric partitioning and robust ad-hoc network design

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Abstract

We present fast approximation algorithms for the problem of dividing a given convex geographic region into smaller sub-regions so as to distribute the workloads of a set of vehicles. Our objective is to partition the region in such a fashion as to ensure that vehicles are capable of communicating with one another under limited communication radii. We consider variations of this problem in which sub-regions are constrained to have equal area or be convex, and as a side consequence, our approach yields a factor 1.99 approximation algorithm for the continuous k-centers problem on a convex polygon.

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Authors and Affiliations

  1. Department of Industrial and Systems Engineering, University of Southern California, 3715 McClintock Ave, GER 240, Los Angeles, CA, 90089-0193, USA

    John Gunnar Carlsson & Mehdi Behroozi

  2. Department of Industrial and Systems Engineering, University of Minnesota, Minneapolis, MN, USA

    Mehdi Behroozi & Xiang Li

Authors
  1. John Gunnar Carlsson
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  2. Mehdi Behroozi
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  3. Xiang Li
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Corresponding author

Correspondence to John Gunnar Carlsson.

Additional information

The authors gratefully acknowledge DARPA Young Faculty Award N66001-12-1-4218, NSF Grant CMMI-1234585, and ONR Grant N000141210719.

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Carlsson, J.G., Behroozi, M. & Li, X. Geometric partitioning and robust ad-hoc network design. Ann Oper Res 238, 41–68 (2016). https://doi.org/10.1007/s10479-015-2093-0

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  • DOI: https://doi.org/10.1007/s10479-015-2093-0

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