Flötteröd, G., and Bierlaire, M.

Metropolis-Hastings sampling of paths

Speaker: Fl�tter�d Gunnar

Conference on Models and Technologies for Intelligent Transportation Systems (MT-ITS), KU Leuven

June 22, 2011

We consider the previously unsolved problem of sampling paths according to a given distribution from a general network. The problem is difficult because of the combinatorial number of alternatives, which prohibits a complete enumeration of all paths and hence also forbids to compute the normalizing constant of the sampling distribution. The problem is important because the ability to sample from a known distribution introduces mathematical rigor into many applications, including the estimation of choice models with sampling of alternatives that can be formalized as paths in a decision network (most obviously route choice), probabilistic map matching, dynamic traffic assignment, and route guidance. (C) 2012 Elsevier Ltd. All rights reserved.