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Local routing algorithms based on Potts neural networks

机译:基于Potts神经网络的本地路由算法

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摘要

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 not exploited numerically.
机译:提出了一种反馈神经网络方法,用于非对称网络中的静态通信路由,其中​​,针对单个单播问题的Bellman-Ford方法的平均场公式被用作开发针对多个单播,多播和多个多播问题的算法的通用平台。继承了Bellman-Ford算法吸引人的局部性和更新原理。对于所有问题类型,目标是使总连接成本最小化,该总连接成本定义为所涉及电弧的各个成本之和,但要受容量限制。通过与可访问的情况下的精确解决方案进行比较,以及通过简单启发式方法得出的近似结果,可以对综合问题实例的方法进行评估。通常,结果的质量要优于启发式方法。此外,即使没有数值地利用该方法的分布式性质,计算需求也很少。

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