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Fault-Tolerant and 3-Dimensional Distributed Topology Control Algorithms in Wireless Multi-hop Networks

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Abstract

The topology of a multi-hop wireless network can be controlled by varying the transmission power at each node. The life-time of such networks depends on battery power at each node. This paper presents a distributed fault-tolerant topology control algorithm for minimum energy consumption in multi-hop wireless networks. This algorithm is an extension of cone-based topology control algorithm [19, 12]. The main advantage of this algorithm is that each node decides on its power based on local information about the relative angle of its neighbors and as a result of these local decisions, a fault-tolerant connected network is formed on the nodes. It is done by preserving the connectivity of a network upon failing of, at most, k nodes (k is a constant) and simultaneously minimize the transmission power at each node to some extent. In addition, simulations are studied to support the effectiveness of this algorithm. Finally, it is shown how to extend this algorithm to 3-dimensions.

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Authors and Affiliations

  1. Department of Mathematics, Massachusetts Institute of Technology, 550 Memorial Drive, Apt 18C, Cambridge, MA, 02139

    Mohsen Bahramgiri

  2. MIT Department of Mathematics, Computer Science and Artificial Intelligence Laboratory (CSAIL), 32 Vassar Street, Cambridge, 02139, USA

    MohammadTaghi Hajiaghayi & Vahab S. Mirrokni

Authors
  1. Mohsen Bahramgiri
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  2. MohammadTaghi Hajiaghayi
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  3. Vahab S. Mirrokni
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Corresponding author

Correspondence to Mohsen Bahramgiri.

Additional information

An extended abstract version of this paper appeared in the 11th IEEE International Conference on Computer Communications and Networks(ICCCN02).

Mohsen Bahramgiri born in 1979, recieved the Bachelor's degree in Mathematical Sciences from Sharif University of Technology, Tehran, Iran in 2000. He is now a PhD candidate in Mathematics Department at Massachusetts Institute of Technology. His research interests include Symplectic Hodge Theory on Higher dimentional Geometry, Kahler Geometry, Mathematical Physics and Geometric Analysis on one hand, and algorithmic Graph Theory and Combinatorics on the other hand.

MohammadTaghi Hajiaghayi received the Bachelor's degree in computer engineering from Sharif University of Technology in 2000. He received the Master's degree in Computer Science from the University of Waterloo in 2001. Since 2001, he is a Ph.D. candidate in Computer Science and Artificial Intelligence Laboratory at the Massachusetts Institute of Technology. During his Ph.D. studies, he also worked at the IBM T.J. Watson Research Center (Department of Mathematical Sciences) and at the Microsoft Research (Theory group). His research interests are algorithmic graph theory, combinatorial optimizations, distributed and mobile computing, computational geometry and embeddings, game theory and combinatorial auctions, and random structures and algorithms.

Vahab S. Mirrokni received the Bachelor's degree in computer engineering from Sharif University of Technology, Tehran, Iran in 2001. Since 2001, he is a Ph.D. candidate in Computer Science and Artificial Intelligence Laboratory at the Massachusetts Institute of Technology. During his Ph.D. studies, he also worked at the Bell-Laboratories (Networking Center and Department of Fundamental Mathematics). His research interests include approximation algorithms, combinatorial optimization, computational game theory, mobile computing, network mannagement, and algorithmic graph theory.

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Bahramgiri, M., Hajiaghayi, M. & Mirrokni, V.S. Fault-Tolerant and 3-Dimensional Distributed Topology Control Algorithms in Wireless Multi-hop Networks. Wireless Netw 12, 179–188 (2006). https://doi.org/10.1007/s11276-005-5265-z

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  • DOI: https://doi.org/10.1007/s11276-005-5265-z

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