An approximation algorithm for the wireless gathering problem

  • Authors:

  • Vincenzo Bonifaci;Peter Korteweg;Alberto Marchetti-Spaccamela;Leen Stougie

  • Affiliations:

  • Department of Mathematics and Computer Science, Eindhoven University of Technology, Eindhoven, The Netherlands;Department of Mathematics and Computer Science, Eindhoven University of Technology, Eindhoven, The Netherlands;Department of Computer and Systems Science, University of Rome “La Sapienza”, Rome, Italy;Department of Mathematics and Computer Science, Eindhoven University of Technology, Eindhoven, The Netherlands

  • Venue:
  • SWAT'06 Proceedings of the 10th Scandinavian conference on Algorithm Theory
  • Year:
  • 2006

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Abstract

The Wireless Gathering Problem is to find a schedule for data gathering in a wireless static network. The problem is to gather a set of messages from the nodes in the network at which they originate to a central node, representing a powerful base station. The objective is to minimize the time to gather all messages. The sending pattern or schedule should avoid interference of radio signals, which distinguishes the problem from wired networks We study the Wireless Gathering Problem from a combinatorial optimization point of view in a centralized setting. This problem is known to be NP-hard when messages have no release time. We consider the more general case in which messages may be released over time. For this problem we present a polynomial-time on-line algorithm which gives a 4-approximation. We also show that within the class of shortest path following algorithms no algorithm can have approximation ratio better than 4. We also formulate some challenging open problems concerning complexity and approximability for variations of the problem