Wireless Networks

, Volume 16, Issue 3, pp 701–711

Maximum-residual multicasting and aggregating in wireless ad hoc networks


DOI: 10.1007/s11276-009-0163-4

Cite this article as:
Hsiu, PC., Wu, CH. & Kuo, TW. Wireless Netw (2010) 16: 701. doi:10.1007/s11276-009-0163-4


Power-aware routing in wireless ad hoc networks has been extensively explored in recent years, and various routing metrics were developed for the prolongation of network lifetime. This work studies power-aware routing so as to maximize the minimum remaining energy of all nodes after routing. This routing metric, referred to as Maximum-Residual Routing, aims at maintaining the minimum remaining energy as high as possible so as to delay the fist failure time of nodes in the network. In this paper, a polynomial-time optimal algorithm is proposed for Maximum-Residual Multicasting. We then show that Maximum-Residual Aggregating is \({\mathcal{NP}}\)-hard and that, unless \({\mathcal{P = NP}},\) its minimization version cannot be approximated within a ratio better than (2 − ε) for any ε > 0. The proposed routing algorithm for Maximum-Residual Multicasting can be applied to existing routing protocols, especially those based on the link-state approach. The capability of the algorithm was evaluated by a series of experiments, for which we have very encouraging results in network lifetime and load balance.


Maximum-Residual Routing Routing algorithms Ad hoc networks 

Copyright information

© Springer Science+Business Media, LLC 2009

Authors and Affiliations

  1. 1.Department of Computer Science and Information EngineeringNational Taiwan UniversityTaipeiTaiwan, ROC
  2. 2.Department of Electronic EngineeringNational Taiwan University of Science and TechnologyTaipeiTaiwan, ROC
  3. 3.Department of Computer Science and Information Engineering, Graduate Institute of Networking and MultimediaNational Taiwan UniversityTaipeiTaiwan, ROC

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