Non-Linear Charge Functions for Electric Vehicle Scheduling with Dynamic Recharge Rates (Short Paper)

Authors Fabian Löbel , Ralf Borndörfer , Steffen Weider



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Author Details

Fabian Löbel
  • Zuse Institute Berlin, Germany
Ralf Borndörfer
  • Zuse Institute Berlin, Germany
Steffen Weider
  • LBW Optimization GmbH, Berlin, Germany

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Fabian Löbel, Ralf Borndörfer, and Steffen Weider. Non-Linear Charge Functions for Electric Vehicle Scheduling with Dynamic Recharge Rates (Short Paper). In 23rd Symposium on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems (ATMOS 2023). Open Access Series in Informatics (OASIcs), Volume 115, pp. 15:1-15:6, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2023)
https://doi.org/10.4230/OASIcs.ATMOS.2023.15

Abstract

The ongoing electrification of logistics systems and vehicle fleets increases the complexity of associated vehicle routing or scheduling problems. Battery-powered vehicles have to be scheduled to recharge in-service, and the relationship between charging time and replenished driving range is non-linear. In order to access the powerful toolkit offered by mixed-integer and linear programming techniques, this battery behavior has to be linearized. Moreover, as electric fleets grow, power draw peaks have to be avoided to save on electricity costs or to adhere to hard grid capacity limits, such that it becomes desirable to keep recharge rates dynamic. We suggest a novel linearization approach of battery charging behavior for vehicle scheduling problems, in which the recharge rates are optimization variables and not model parameters.

Subject Classification

ACM Subject Classification
  • Mathematics of computing → Integer programming
  • Mathematics of computing → Linear programming
  • Applied computing → Transportation
Keywords
  • Electric Vehicle Scheduling
  • Battery Powered Vehicles
  • Charging Process
  • Non-linear Charging
  • Recharge Modeling
  • Dynamic Recharge Rate

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References

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