Title: Solving the Brachistochrone Problem by an Influence Diagram,
Abstract: 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.