EURO 2024 Copenhagen
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3047. Modal split on a single edge to minimize multiple objectives

Invited abstract in session WD-51: Transit, stream Public Transport Optimization.

Wednesday, 14:30-16:00
Room: M5 (building: 101)

Authors (first author is the speaker)

1. Sven Jäger
Department of Mathematics, RPTU Kaiserslautern-Landau
2. Anita Schöbel
Department of Mathematics, University of Kaiserslautern-Landau

Abstract

When a traffic planner plans the offer of different transport modes, she aims at minimizing simultaneously the total travel time, the total operating cost, and the total CO2 emission. We consider the setting of two cities with a fixed travel demand that can be connected by different transport modes such as a highway for cars, a tram line, and regional trains. The contribution of each mode to the three objective functions depends on the number of passengers using that mode and on the service to be set up to serve them. We are interested in Pareto-optimal modal splits, which cannot be improved in one objective without degrading another objective.

Motivated by this application, we study general tri-criteria problems over a simplex (representing possible modal splits of the total demand), where we assume that all objective functions are separable over the variables. In the case that all objectives are linear, the Pareto-optimal set is simply the convex hull of all Pareto-optimal pure modes, which is a face of the simplex. We study the structure of the solution set for more general objective functions, such as convex differentiable or piecewise constant objective functions in order to develop tailored algorithmic approaches.

Keywords

Status: accepted

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