An Adjustable Robust Formulation and a Decomposition Approach for the Green Vehicle Routing Problem with Uncertain Waiting Time at Recharge Stations

Luigi Di Puglia Pugliese, Francesca Guerriero, Giusy Macrina

2021

Abstract

We investigate the problem of routing a fleet of electric vehicles in an urban area, which must serve a set of customers within predefined time windows. We allow partial battery recharge to any available recharge stations, located in the area. Since the recharge stations could be busy when a driver arrives for charging operations, the time spent can be seen as the sum of recharge times and waiting times. We model the waiting times as uncertain parameters and we assume to do not know their distribution. Hence, we address the problem under the robust optimization framework by modelling the realization of the uncertain parameter with the budget of uncertainty polytope. We propose an adjustable robust formulation, then we implement a row-and-column generation solution approach based on a two-stage reformulation of the problem, to provide a robust routing against infeasibility with respect to time collect requirements. We test the proposed approach on benchmark instances and we analyze the behavior of the considered transportation system with respect to the uncertain parameter. In addition, we investigate the price of robustness and the reliability of the robust solutions obtained.

Paper Citation

in Harvard Style

Di Puglia Pugliese L., Guerriero F. and Macrina G. (2021). An Adjustable Robust Formulation and a Decomposition Approach for the Green Vehicle Routing Problem with Uncertain Waiting Time at Recharge Stations.In Proceedings of the 10th International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES, ISBN 978-989-758-485-5, pages 72-81. DOI: 10.5220/0010256500720081

in Bibtex Style

@conference{icores21,
author={Luigi Di Puglia Pugliese and Francesca Guerriero and Giusy Macrina},
title={An Adjustable Robust Formulation and a Decomposition Approach for the Green Vehicle Routing Problem with Uncertain Waiting Time at Recharge Stations},
booktitle={Proceedings of the 10th International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES,},
year={2021},
pages={72-81},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0010256500720081},
isbn={978-989-758-485-5},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 10th International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES,
TI - An Adjustable Robust Formulation and a Decomposition Approach for the Green Vehicle Routing Problem with Uncertain Waiting Time at Recharge Stations
SN - 978-989-758-485-5
AU - Di Puglia Pugliese L.
AU - Guerriero F.
AU - Macrina G.
PY - 2021
SP - 72
EP - 81
DO - 10.5220/0010256500720081