Integrating Routing Decisions in Public Transportation Problems

Presenting a new, customer-oriented approach that ensures more objective solutions, this study combines extensive complexity analysis, exact integer programming and heuristic techniques for more efficient and responsive public transportation provision.

This book treats three planning problems arising in public railway transportation planning: line planning, timetabling, and delay management, with the objective to minimize passengers' travel time. While many optimization approaches simplify these problems by assuming that passengers' route choice is independent of the solution, this book focuses on models which take into account that passengers will adapt their travel route to the implemented planning solution. That is, a planning solution and passengers' routes are determined and evaluated simultaneously.This work is technically deep, with insightful finding regarding complexity and algorithmic approaches to public transportation problems with integrated passenger routing. It is intended for researchers in the fields of mathematics, computer science, or operations research, working in the field of public transportation from an optimization standpoint. It is also ideal for students who want to gain intuition and experience in doing complexity proofs and designing polynomial-time algorithms for network problems.The book models line planning, timetabling and delay management as combined design and routing problems on networks. In a complexity analysis, the border between NP-hard and polynomially solvable problems is illustrated. Based on that, the insights gained are used to develop solution approaches for the considered problems. Besides integer programming formulations, a heuristic method iterating planning and routing step is proposed to solve the problems.

Provides insight into which factors influence public transportation problems via extensive complexity analysis Contains a new model for customer-oriented public transportation problems, resulting in more objective solutions Provides a framework in which methods for optimization and routing can be combined to solve network problems with integrated routing Presents exact integer programming approaches as well as a heuristic approach which alternates traffic assignment and optimization steps

Inhalt

1. Introduction.- 2. Line Planning.- 3. Timetabling.- 4. Delay Management.- 5. An Iterative Solution Approach for General Network Problems with Routing.- 6. Conclusions and Outlook.- Frequently Used Notation.- References.- Index.