Optimal Relay Location for Resource-limited Energy-efficient Wireless Communication

  • Authors:

  • Ionut Cardei;Mihaela Cardei;Lusheng Wang;Baogang Xu;Ding-Zhu Du

  • Affiliations:

  • Department of Computer Science and Engineering, Florida Atlantic University, Boca Raton, USA 33431;Department of Computer Science and Engineering, Florida Atlantic University, Boca Raton, USA 33431;Department of Computer Science, City University of Hong Kong, Kowloon, Hong Kong;School of Mathematics and Computer Science, Nanjing Normal University, Nanjing, P.R. China;Department of Computer Science, University of Minnesota, Minneapolis, USA 55455

  • Venue:
  • Journal of Global Optimization
  • Year:
  • 2006

Quantified Score

Hi-index 0.00

Visualization

Abstract

In the design of wireless networks, techniques for improving energy efficiency and extending network lifetime have great importance, particularly for defense and civil/rescue applications where resupplying transmitters with new batteries is not feasible. In this paper we study a method for improving the lifetime of wireless networks by minimizing the length of the longest edge in the interconnecting tree by deploying additional relay nodes at specific locations. This optimization problem, known as the Bottleneck Steiner Tree Problem (BSTP), asks to find a Steiner tree for n terminals with at most k Steiner points such that the length of the longest edge in the tree is minimized. We present a ratio- $$\sqrt{3}+\epsilon$$ polynomial time approximation algorithm for BSTP, where $$\epsilon$$ is an arbitrary positive number.