Solving the Brachistochrone Problem by an Influence Diagram
arXiv:1702.02032v11 citations
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This is an incremental application of an existing method to a classic physics problem, with limited broader impact.
The authors tackled the Brachistochrone problem by applying influence diagrams, a decision-theoretic extension of probabilistic graphical models, and compared their solution to the optimal one through numerical experiments.
Influence diagrams are a decision-theoretic extension of probabilistic graphical models. In this paper we show how they can be used to solve the Brachistochrone problem. We present results of numerical experiments on this problem, compare the solution provided by the influence diagram with the optimal solution. The R code used for the experiments is presented in the Appendix.