On dual power assignment optimization for biconnectivity
- 67 Downloads
Topology control is an important technology of wireless ad hoc networks to achieve energy efficiency and fault tolerance. In this paper, we study the dual power assignment problem for 2-edge connectivity and 2-vertex connectivity in the symmetric graphical model which is a combinatorial optimization problem from topology control technology.
The problem is arisen from the following origin. In a wireless ad hoc network where each node can switch its transmission power between high-level and low-level, how can we establish a fault-tolerantly connected network topology in the most energy-efficient way? Specifically, the objective is to minimize the number of nodes assigned with high power and yet achieve 2-edge connectivity or 2-vertex connectivity.
We addressed these optimization problems (2-edge connectivity and 2-vertex connectivity version) under the general graph model in (Wang et al. in Theor. Comput. Sci., 2008). In this paper, we propose a novel approximation algorithm, called Candidate Set Filtering algorithm, to compute nearly-optimal solutions. Specifically, our algorithm can achieve 3.67-approximation ratio for both 2-edge connectivity and 2-vertex connectivity, which improves the existing 4-approximation algorithms for these two cases.
KeywordsDual power assignment Biconnectivity Approximation algorithm
Unable to display preview. Download preview PDF.
- Chen J-J, Lu H-I, Kuo T-W, Yang C-Y, Pang A-C (2005) Dual power assignment for network connectivity in wireless sensor networks. In: Proceedings of the IEEE GLOBECOM Google Scholar
- Clementi AEF, Penna P, Silvestri R (1999) Hardness results for the power range assignment problem in packet radio networks. In: Proceedings of the 2nd international workshop on approximation algorithms for combinatorial optimization problems (APPROX), pp 197–208 Google Scholar
- Diestel R (2000) Graph theory, 2nd edn. Springer, Berlin Google Scholar
- Hajiaghayi M, Immorlica N, Mirrokni VS (2003) Power optimization in fault-tolerant topology control algorithms for wireless multi-hop networks. In: Proceedings of the 9th annual international conference on mobile computing and networking Google Scholar
- Lloyd E, Liu R, Marathe M, Ramanathan R, Ravi SS (2002) Algorithmic aspects of topology control problems for ad hoc networks. In: Proc. third ACM international symposium on mobile ad hoc networking and computing (mobiHoc), pp 123–134 Google Scholar
- Park M-A, Wang C, Willson III JKV, Wu W, Farago A (2006) Fault-tolerant dual-power assignment in wireless sensor networks, Technical Report, UTDCS-52-06 Google Scholar
- Poojary N, Krishnamurthy SV, Dao S (2001) Medium access control in a network of ad hoc mobile nodes with heterogenous power capabilities. In: IEEE ICC’01, pp. 872–877 Google Scholar
- Rong Y, Choi H, Choi H-A (2004) Dual power management for network connectivity in wireless sensor networks. In: Proceedings of the 18th international parallel and distributed processing symposium Google Scholar
- Shah V, Krishnamurthy SV, Poojary N (2004) Improving the MAC layer performance in ad hoc networks of nodes with heterogeneous transmit power capabilities. In: IEEE ICC’04 Google Scholar