A bilevel model of taxation and its application to optimal highway pricing
Management Science
SNOPT: An SQP Algorithm for Large-Scale Constrained Optimization
SIAM Journal on Optimization
Design of Zone Tariff Systems in Public Transportation
Operations Research
A Column-Generation Approach to Line Planning in Public Transport
Transportation Science
A stochastic approach to traffic congestion costs
Computers and Operations Research
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The optimization of fare systems in public transit allows to pursue objectives such as the maximization of demand, revenue, profit, or social welfare. We propose a nonlinear optimization approach to fare planning that is based on a detailed discrete choice model of user behavior. The approach allows to analyze different fare structures, optimization objectives, and operational scenarios involving, e.g., subsidies. We use the resulting models to compute optimized fare systems for the city of Potsdam, Germany.