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

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

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, December). Lattice Green functions and diffusion for modelling traffic routing in ad hoc networks. Presented at 7th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks, 2009. WiOPT 2009., Seoul

• Presentation Conference Type: Conference Paper (published)
• Conference Name: 7th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks, 2009. WiOPT 2009.
• Publication Date: Jan 1, 2009
• Deposit Date: Jul 27, 2015
• Publicly Available Date: Apr 15, 2016
• 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
• Public URL: https://durham-repository.worktribe.com/output/1153235