title: Local routing algorithms based on Potts neural networks.
abstract: A feedback neural approach to static communication routing in asymmetric networks is presented, where a mean field formulation of the Bellman-Ford method for the single unicast problem is used as a common platform for developing algorithms for multiple unicast, multicast and multiple multicast problems. The appealing locality and update philosophy of the Bellman-Ford algorithm is inherited. For all problem types the objective is to minimize a total connection cost, defined as the sum of the individual costs of the involved arcs, subject to capacity constraints. The methods are evaluated for synthetic problem instances by comparing to exact solutions for cases where these are accessible, and else with approximate results from simple heuristics. In general, the quality of the results are better than those of the heuristics. Furthermore, the computational demands are modest, even when the distributed nature of the the approach is unexploited numerically.
authors.affiliation: Complex Systems Group, Department of Theoretical Physics, University of Lund, SE-223 62 Lund, Sweden. jari@thep.lu.se
authors.forename: J
authors.initials: J
authors.lastname: Häkkimen
authors.forename: M
authors.initials: M
authors.lastname: Lagerholm
authors.forename: C
authors.initials: C
authors.lastname: Peterson
authors.forename: B
authors.initials: B
authors.lastname: Söderberg