Trong Nghia Hoang, Chi Thanh Lam, et al.
ICML 2020
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.
Trong Nghia Hoang, Chi Thanh Lam, et al.
ICML 2020
Sebastien Boyer, Sebastien Blandin, et al.
Transportation Research Part B
Marc Jourdan, Sebastien Blandin, et al.
ICDM 2018
Sebastien Blandin, Xavier Litrico, et al.
IEEE TACON