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Numerical solutions of continuum equilibria for routing in dense ad-hoc networks
Abstract : We study the routing problem in massively dense static ad-hoc networks as the node density increases. We use a fluid approximation in which the graph providing the available routes becomes so dense that it can be approximated by a continuous area which inherits from the original problem the cost structure: a cost density is defined at each point on the limit plain; it is a function of the location and the congestion at that point. We solve numerically the routing problem for the case where the cost density is linear with respect to congestion and we obtain a result of convergence via Finite Elements Method.
Cited literature [24 references]
https://hal.inria.fr/hal-01076463
Contributor : Alonso Silva <>
Submitted on : Wednesday, October 22, 2014 - 11:36:22 AM
Last modification on : Saturday, January 27, 2018 - 1:31:41 AM
Long-term archiving on: : Friday, January 23, 2015 - 10:35:55 AM
Contributor : Alonso Silva <>
Submitted on : Wednesday, October 22, 2014 - 11:36:22 AM
Last modification on : Saturday, January 27, 2018 - 1:31:41 AM
Long-term archiving on: : Friday, January 23, 2015 - 10:35:55 AM
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numerical.pdf
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