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Lattice Green functions and diffusion for modelling traffic routing in ad hoc networks

Sigelle, M.; Jermyn, I.H.; Perreau, S.; Jayasuriya, A.

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Authors

M. Sigelle

S. Perreau

A. Jayasuriya



Abstract

We describe basic properties of Markov chains on finite state spaces and their application to Green functions, partial differential equations, and their (approximate) solution using random walks on a graph. Attention is paid to the influence of boundary conditions (Dirichlet/von Neumann). We apply these ideas to the study of traffic propagation and distribution in ad hoc networks.

Citation

Sigelle, M., Jermyn, I., Perreau, S., & Jayasuriya, A. (2009). Lattice Green functions and diffusion for modelling traffic routing in ad hoc networks. In Final proceedings of the 2009 7th International Symposium on Modeling and Optimization in Mobile, Ad Hoc and Wireless Networks (WiOpt 2009) (1-5). https://doi.org/10.1109/wiopt.2009.5291591

Conference Name 7th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks, 2009. WiOPT 2009.
Conference Location Seoul
Publication Date Jan 1, 2009
Deposit Date Jul 27, 2015
Publicly Available Date Mar 29, 2024
Publisher Institute of Electrical and Electronics Engineers
Pages 1-5
Book Title Final proceedings of the 2009 7th International Symposium on Modeling and Optimization in Mobile, Ad Hoc and Wireless Networks (WiOpt 2009).
DOI https://doi.org/10.1109/wiopt.2009.5291591

Files

Accepted Conference Proceeding (194 Kb)
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