Matrix computations (3rd ed.)
GPSR: greedy perimeter stateless routing for wireless networks
MobiCom '00 Proceedings of the 6th annual international conference on Mobile computing and networking
Energy-Efficient Communication Protocol for Wireless Microsensor Networks
HICSS '00 Proceedings of the 33rd Hawaii International Conference on System Sciences-Volume 8 - Volume 8
Wireless Sensor Networks: An Information Processing Approach
Wireless Sensor Networks: An Information Processing Approach
Geometry of information propagation in massively dense ad hoc networks
Proceedings of the 5th ACM international symposium on Mobile ad hoc networking and computing
Interperf '06 Proceedings from the 2006 workshop on Interdisciplinary systems approach in performance evaluation and design of computer & communications sytems
Fluid models for large-scale wireless sensor networks
Performance Evaluation
On traffic load distribution and load balancing in dense wireless multihop networks
EURASIP Journal on Wireless Communications and Networking
On optimality of single-path routes in massively dense wireless multi-hop networks
Proceedings of the 10th ACM Symposium on Modeling, analysis, and simulation of wireless and mobile systems
Computer Networks: The International Journal of Computer and Telecommunications Networking
The Mathematics of Routing in Massively Dense Ad-Hoc Networks
ADHOC-NOW '08 Proceedings of the 7th international conference on Ad-hoc, Mobile and Wireless Networks
On the optimality of field-line routing in massively dense wireless multi-hop networks
Performance Evaluation
Numerical solutions of continuum equilibria for routing in dense ad-hoc networks
Proceedings of the 3rd International Conference on Performance Evaluation Methodologies and Tools
On asymptotically optimal routing in large wireless networks and Geometrical Optics analogy
Computer Networks: The International Journal of Computer and Telecommunications Networking
Distributed potential field based routing and autonomous load balancing for wireless mesh networks
IEEE Communications Letters
Continuum equilibria and global optimization for routing in dense static ad hoc networks
Computer Networks: The International Journal of Computer and Telecommunications Networking
Implementing information paths in a dense wireless sensor network
GLOBECOM'09 Proceedings of the 28th IEEE conference on Global telecommunications
Magnetworks: how mobility impacts the design of mobile ad hoc networks
INFOCOM'10 Proceedings of the 29th conference on Information communications
A distributed routing algorithm for sensor networks derived from macroscopic models
Computer Networks: The International Journal of Computer and Telecommunications Networking
The capacity of wireless networks
IEEE Transactions on Information Theory
IEEE Communications Magazine
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A Gauss-Seidel correction (GSC) routing algorithm for wireless sensor networks is presented in which packets are transmitted with additional information which can be exchanged among nodes to correct the current routing paths and achieve load balancing. The problem considered here is single-class routing to one/multiple sinks with lifetime maximization as the objective. The formulation to correct the routing paths is not heuristic and takes its theoretical basis from a macroscopic model, that is, based on a set of partial differential equations iteratively solved by the Gauss-Seidel method. We then theoretically investigate the convergence of GSC. Furthermore, an initial value estimation algorithm is presented to alleviate the long-path problem during the delivery of the first several packets, thus accelerating the convergence of GSC. Simulation results show that GSC effectively achieves load balancing, particularly for regions of interest with holes.