Non-linear Battery Behavior in Electric Vehicle Scheduling Problems

Fabian Löbel (), Ralf Borndörfer () and Steffen Weider ()
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Fabian Löbel: Zuse Institute Berlin
Ralf Borndörfer: Zuse Institute Berlin
Steffen Weider: IVU Traffic Technologies AG

Chapter Chapter 53 in Operations Research Proceedings 2023, 2025, pp 415-421 from Springer

Abstract: Abstract The currently most popular approach to handle non-linear battery behavior for electric vehicle scheduling is to use a linear spline interpolation of the charge curve. We show that this can lead to approximate models that underestimate the charge duration and overestimate the state of charge, which is not desirable. While the error is of second order with respect to the interpolation step size, the associated mixed-integer linear programs do not scale well with the number of spline segments. It is therefore recommendable to use coarse interpolation grids adapted to the curvature of the charge curve, and to include sufficient safety margins to ensure solutions of approximate models remain feasible subjected to the exact charge curve.

Keywords: Electric vehicle scheduling; Non-linear charging (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/978-3-031-58405-3_53

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