Overview
- 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
Part of the book series: Springer Optimization and Its Applications (SOIA, volume 89)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (6 chapters)
Keywords
About this book
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.
Authors and Affiliations
Bibliographic Information
Book Title: Integrating Routing Decisions in Public Transportation Problems
Authors: Marie E. Schmidt
Series Title: Springer Optimization and Its Applications
DOI: https://doi.org/10.1007/978-1-4614-9566-6
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media New York 2014
Hardcover ISBN: 978-1-4614-9565-9Published: 03 January 2014
Softcover ISBN: 978-1-4939-4800-0Published: 27 August 2016
eBook ISBN: 978-1-4614-9566-6Published: 02 January 2014
Series ISSN: 1931-6828
Series E-ISSN: 1931-6836
Edition Number: 1
Number of Pages: IX, 227
Number of Illustrations: 23 b/w illustrations
Topics: Operations Research, Management Science, Civil Engineering, Algorithm Analysis and Problem Complexity