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This textbook provides a comprehensive step-by-step guide for new public transport modelers. It includes an introduction to mathematical modeling, continuous and discrete optimization, numerical optimization, computational complexity analysis, metaheuristics, and multi-objective optimization. These tools help engineers and modelers to use better existing public transport models and also develop new models that can address future challenges. By reading this book, the reader will gain the ability to translate a future problem description into a mathematical model and solve it using an appropriate solution method.The textbook provides the knowledge needed to develop highly accurate mathematical models that can serve as decision support tools at the strategic, tactical, and operational planning levels of public transport services. Its detailed description of exact optimization methods, metaheuristics, bi-level, and multi-objective optimization approaches together with the detailed description of implementing these approaches in classic public transport problems with the use of open source tools is unique and will be highly useful to students and transport professionals.
Mathematical Programming of Public Transport Problems
Introduction to Mathematical Programming
Introduction to Computational Complexity
Continuous UnconstraineContinuous Constrained Optimization
Continuous Constrained Optimization
Discrete Optimization
Solution Approximation with Artificial Intelligence: The Case of Metaheuristics
Metaheuristics
Multi-objective Optimization
Public Transport Optimization: From Network Design to Operations
Strategic Planning of Public Transport Services
Tactical Planning of Public Transport Services: Frequencies and Timetables
Tactical Planning of Public Transport Services: Multi-modal Synchronization
Tactical Planning of Public Transport Services: Vehicle and Crew Schedules
Tactical Planning of On-Demand and Shared Mobility Services
Operational Planning and Control