CORS / Optimization Days
HEC Montréal, May 29-31, 2023
CORS-JOPT2023
HEC Montreal, 29 — 31 May 2023
OEVCI Optimizing Electric Vehicle Charging Infrastructure I
May 29, 2023 10:30 AM – 12:10 PM
Location: TAL Gestion globale d'actifs inc. (green)
Chaired by Miguel F. Anjos
4 Presentations
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10:30 AM - 10:55 AM
Accelerated Bender's Decomposition for Electric Vehicle Charging Station Placement
In areas with an abundance of cheap, renewable electricity (such as Québec), an increase to the number of electric vehicles (EVs) can help reduce greenhouse gas emissions. The importance of public EV charging infrastructure for encouraging widespread adoption has been highlighted in studies and, as such, the location of charging stations is crucial. We propose an optimisation model for EV charging station placement designed to maximise adoption of EVs. This model allows for flexible user preferences and, under certain assumptions, can be reformulated as an efficient maximum covering model. However, this reformulation cannot be solved directly for instances of realistic size. To address this limitation, we integrate a Bender's decomposition approach that is specifically designed for large-scale maximum covering models. Additionally, we propose and discuss several acceleration techniques tailored to our application.
Key words: Electric Vehicles, Bender's Decomposition, Maximum Covering Model
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10:55 AM - 11:20 AM
Universal Maximum Flow for Electric Vehicle Charging Station Placement
With the increasing effects of climate change, the need to step away from fossil fuels is more important than ever. Electric vehicles are one way to reduce them, but their adoption is often limited by the availability of charging stations. As such, the goal is to assign each electric vehicle to an available, or soon to be, charging station. Within cities, we propose to model the assignment of electric vehicles as a universal maximum flow problem. In this way, we can evaluate the quality of service provided by existing and future charging infrastructure. Such models can be solved using a linear program. We showcase our methodology for the city of Montreal, demonstrating the scalability of our approach to handle realistic instances.
Key words: Electric Vehicles, Maximum Flow
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11:20 AM - 11:45 AM
Optimal pricing for electric vehicle charging via bilevel optimization
The ongoing increase in the number of electric vehicles raises various challenges in terms of charging infrastructure management. We propose a bilevel optimization model based on dynamic pricing of charging to distribute users in time and space around the pool of charging stations. The followers (users) make decisions independently and the leader ensures that there is no conflict at the charging stations. We present a reformulation of the model as a single-level integer linear optimization problem and we analyze the impact of the various user parameters.
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11:45 AM - 12:10 PM
Charging Station Location and Routing Problem for Long-haul Electric Heavy Duty Trucks with Drivers' Working Hours
Due to the limited infrastructure to enable an integrated transport system, inland freight
logistic operations are heavily reliant on trucks, leading to negative economic and
environmental impacts. Heavy duty trucks with diesel engines produce increasing volumes of
emissions and pollution, which not only cause severe health problems but also have a negative
impact on global warming. A potential solution is to gradually replace diesel engines with their
technological alternatives such as electric heavy-duty trucks (eHDT). The charging station
network for eHDT is still very limited, which may be a hindrance for this alternative due to the
short operating range. Furthermore, the hours of service (HOS) regulations of commercial
drivers are regulated by law, and the drivers must be scheduled in such a way that they are able
to comply with the regulatory framework. The consideration of the driving periods, breaks, and
rest periods in vehicle scheduling and routing is crucial to increase punctuality and safety in
road freight transport. In this talk, we present a comprehensive mathematical model for
location optimization of charging stations by considering the long-haul electric vehicles, their
routing, the legislative requirements on drivers’ HOS, different charger levels and partial
recharge strategies.