Low-Energy Fault-Tolerant Bounded-Hop Broadcast in Wireless Networks

• Published in: IEEE/ACM transactions on networking Vol. 17; no. 2; pp. 582 - 590
• Main Authors: Shpungin, H., Segal, M.
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.04.2009; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Algorithm design and analysis; Algorithms; Approximation; Approximation algorithms; Approximation methods; Asymmetry; Broadcasting; Cost function; Fault tolerance; Linear approximation; Mathematical analysis; minimum-energy control; Mobile ad hoc networks; Network topology; Networks; Optimization; radio broadcasting; Resilience; Studies; Topology; Wireless networks
• ISSN: 1063-6692; 1558-2566
• DOI: 10.1109/TNET.2009.2014653

This paper studies asymmetric power assignments in wireless ad hoc networks. The temporary, unfixed physical topology of wireless ad hoc networks is determined by the distribution of the wireless nodes as well as the transmission power (range) assignment of each node. We consider the problem of bounded-hop broadcast under k-fault resilience criterion for linear and planar layout of nodes. The topology that results from our power assignment allows a broadcast operation from a wireless node r to any other node in at most h hops and is k -fault resistant. We develop simple approximation algorithms for the two cases and obtain the following approximation ratios: linear case- O ( k ); planar case-we first prove a factor of O ( k 3 ) , which is later decreased to O ( k 2 ) by a finer analysis. Finally, we show a trivial power assignment with a cost O ( h ) times the optimum. To the best of our knowledge, these are the first nontrivial results for this problem.