Abstract
The Electric Vehicle Routing Problem (EVRP) aims at routing Electric Vehicles (EVs) while planning their stops at Charging Stations (CSs), due to the limited autonomy of their batteries. The majority of studies on the EVRP and its variants have considered deterministic energy consumption. However, energy consumption is subject to a great deal of uncertainty, which if ignored can lead the EV to run out of battery mid-route. In this paper, we develop a two-stage stochastic programming formulation for the electric vehicle routing problem with stochastic energy consumption. In particular, we propose a threshold recourse policy which entails that the EV will head to a charging station after a certain energy level is reached. We show the added value of the extensive formulation of our model on a set of small instances derived from the deterministic literature.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Andelmin, J., Bartolini, E.: An exact algorithm for the green vehicle routing problem. Transp. Sci. 51(4), 1288–1303 (2017)
Asamer, J., et al.: Sensitivity analysis for energy demand estimation of electric vehicles. Transp. Res. Part D Transp. Environ. 46, 182–199 (2016)
Basso, R., Kulcsár, B., Sanchez-Diaz, I.: Electric vehicle routing problem with machine learning for energy prediction. Transp. Res. Part B Methodol. 145, 24–55 (2021)
Birge, J.R., Louveaux, F.: Introduction to Stochastic Programming. Springer Science & Business Media (2011)
Bruni, M.E., Jabali, O., Khodaparasti, S.: The electric vehicle route planning problem with energy consumption uncertainty. In: 2020 Forum on Integrated and Sustainable Transportation Systems (FISTS), pp. 224–229. IEEE (2020)
Desaulniers, G., et al.: Exact algorithms for electric vehicle-routing problems with time windows. Oper. Res. 64(6), 1388–1405 (2016)
Felipe, Á., et al.: A heuristic approach for the green vehicle routing problem with multiple technologies and partial recharges. Transp. Res. Part E Logist. Transp. Rev. 71, 111–128 (2014)
Froger, A., et al.: Improved formulations and algorithmic components for the electric vehicle routing problem with nonlinear charging functions. Comput. Oper. Res. 104, 256–294 (2019)
Kucukoglu, I., Dewil, R., Cattrysse, D.: The electric vehicle routing problem and its variations: a literature review. Comput. Ind. Eng. 161, 107650 (2021)
Lam, E., Desaulniers, G., Stuckey, P.J.: Branch-and-cut-and-price for the electric vehicle routing problem with time windows, piecewise-linear recharging and capacitated recharging stations. Comput. Oper. Res. 145, 105870 (2022)
Montoya, A., et al.: The electric vehicle routing problem with nonlinear charging function. Transp. Res. Part B Methodol. 103, 87–110 (2017)
Pelletier, S., Jabali, O., Laporte, G.: The electric vehicle routing problem with energy consumption uncertainty. Transp. Res. Part B Methodol. 126, 225–255 (2019)
Pelletier, S., et al.: Battery degradation and behaviour for electric vehicles: review and numerical analyses of several models. Transp. Res. Part B Methodol. 103, 158–187 (2017)
Schneider, M., Stenger, A., Goeke, D.: The electric vehicle-routing problem with time windows and recharging stations. Transp. Sci. 48(4), 500–520 (2014)
Acknowledgements
This work has been supported by “ULTRA OPTYMAL—Urban Logistics and sustainable TRAnsportation: OPtimization under uncertainTY and MAchine Learning”, a PRIN2020 project funded by the Italian University and Research Ministry (grant number 20207C8T9M). This study was carried out within the MOST—Sustainable Mobility National Research Center and received funding from the European Union Next-GenerationEU (PIANO NAZIONALE DI RIPRESA E RESILIENZA (PNRR)—MISSIONE 4 COMPONENTE 2, INVESTIMENTO 1.4—D.D. 1033 17/06/2022, CN00000023), Spoke 5 “Light Vehicle and Active Mobility”. This manuscript reflects only the authors’ views and opinions, neither the European Union nor the European Commission can be considered responsible for them.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2024 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Bezzi, D., Jabali, O., Maggioni, F. (2024). A Threshold Recourse Policy for the Electric Vehicle Routing Problem with Stochastic Energy Consumption. In: Bruglieri, M., Festa, P., Macrina, G., Pisacane, O. (eds) Optimization in Green Sustainability and Ecological Transition. ODS 2023. AIRO Springer Series, vol 12. Springer, Cham. https://doi.org/10.1007/978-3-031-47686-0_20
Download citation
DOI: https://doi.org/10.1007/978-3-031-47686-0_20
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-47685-3
Online ISBN: 978-3-031-47686-0
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)