Jacint Szabo, Sebastien Blandin, et al.
AAMAS 2017
We consider the problem of finding an optimal history-dependent routing strategy on a directed graph weighted by stochastic arc costs when the objective is to minimize the risk of spending more than a prescribed budget. To help mitigate the impact of the lack of information on the arc cost probability distributions, we introduce a robust counterpart where the distributions are only known through confidence intervals on some statistics such as the mean, the mean absolute deviation, and any quantile. Leveraging recent results in distributionally robust optimization, we develop a general-purpose algorithm to compute an approximate optimal strategy. To illustrate the benefits of the robust approach, we run numerical experiments with field data from the Singapore road network.
Jacint Szabo, Sebastien Blandin, et al.
AAMAS 2017
Supriyo Ghosh, Jing Yu Koh, et al.
IJCAI 2019
Samitha Samaranayake, Sebastien Blandin, et al.
ATMOS 2012
Yang Liu, Sebastien Blandin, et al.
Transportation Research Part B