Optimization Models for Public Transport

Explore optimization models for public transport in this comprehensive lecture presented by Anita Schöbel from Fraunhofer Institute for Industrial Mathematics. Delve into various planning stages of public transport optimization, including network design, line planning, timetabling, vehicle and crew scheduling, and delay management. Examine the dual objectives of minimizing costs and maximizing passenger convenience, with a focus on the crucial role of passenger route choices. Learn about the complexities involved in determining passenger routes within given line plans or timetables, especially when considering capacity constraints. Begin with a basic modeling course applied to public transport planning, developing models and resulting integer programs for stop location, line planning, timetabling, and delay management. Understand how passengers are incorporated into these processes. Then, explore different equity goals for each planning stage and discover how these objectives can be reflected in integer programming. Gain valuable insights into the mathematical foundations for creating more equitable transportation systems through this in-depth presentation from IPAM's workshop on Mathematical Foundations for Equity in Transportation Systems.