English

Solving the Brachistochrone Problem by an Influence Diagram

Optimization and Control 2017-02-08 v1 Artificial Intelligence

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.

Cite

@article{arxiv.1702.02032,
  title  = {Solving the Brachistochrone Problem by an Influence Diagram},
  author = {Jiří Vomlel},
  journal= {arXiv preprint arXiv:1702.02032},
  year   = {2017}
}

Comments

8 pages, 2 figures

R2 v1 2026-06-22T18:11:41.054Z