Convergence Properties for the Physarum Solver

Details Convergence Properties for the Physarum Solver Convergence Properties for the Physarum Solver

2011-01-27

arxiv.org/abs/1101.5249v1

Mathematics

Optimization and Control

Scientific paper

The Physarum solver is an intuitive mechanism for solving optimisation problems based on the idea of an electrical network, whereby the conductivity is reinforced by the current. We show that the Physarum solver obtains the solution to the linear transshipment problem on a digraph and that the electrical potential converges to an infinity-harmonic solution of the dual problem.

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