Optimising Electric Vehicle Charging Station Placement Using Advanced Discrete Choice Models

Author:

Lamontagne Steven1,Carvalho Margarida1ORCID,Frejinger Emma1ORCID,Gendron Bernard1,Anjos Miguel F.2,Atallah Ribal3

Affiliation:

1. CIRRELT and Département d’Informatique et de Recherche Opérationnelle, Université de Montréal, Montréal, Quebec H3T 1J4, Canada;

2. School of Mathematics, University of Edinburgh, Edinburgh EH8 9YL, United Kingdom;

3. Institut de Recherche d’Hydro-Québec, Varennes, Quebec J3X 1S1, Canada

Abstract

We present a new model for finding the optimal placement of electric vehicle charging stations across a multiperiod time frame so as to maximise electric vehicle adoption. Via the use of stochastic discrete choice models and user classes, this work allows for a granular modelling of user attributes and their preferences in regard to charging station characteristics. We adopt a simulation approach and precompute error terms for each option available to users for a given number of scenarios. This results in a bilevel optimisation model that is, however, intractable for all but the simplest instances. Our major contribution is a reformulation into a maximum covering model, which uses the precomputed error terms to calculate the users covered by each charging station. This allows solutions to be found more efficiently than for the bilevel formulation. The maximum covering formulation remains intractable in some instances, so we propose rolling horizon, greedy, and greedy randomised adaptive search procedure heuristics to obtain good-quality solutions more efficiently. Extensive computational results are provided, and they compare the maximum covering formulation with the current state of the art for both exact solutions and the heuristic methods. History: Accepted by Andrea Lodi, Area Editor for Design & Analysis of Algorithms–Discrete. Funding: This work was supported by Hydro-Québec and the Natural Sciences and Engineering Research Council of Canada [Discovery Grant 2017-06054; Collaborative Research and Development Grant CRDPJ 536757–19]. Supplemental Material: The online appendix is available at https://doi.org/10.1287/ijoc.2022.0185 .

Publisher

Institute for Operations Research and the Management Sciences (INFORMS)

Subject

General Engineering

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