Optimization in Public Transportation (eBook)

Stop Location, Delay Management and Tariff Zone Design in a Public Transportation Network

Anita Schöbel (Autor)

eBook Download: PDF

2007 | 2006
XIV, 268 Seiten
Springer US (Verlag)
978-0-387-36643-2 (ISBN)

Infos

This book develops models, results and algorithms for optimizing public transportation from a customer-oriented viewpoint. The methods used are based on graph-theoretic approaches and integer programming. The specific topics are all motivated by real-world examples which occurred in practical projects: location of stops, management of delay, and tariff zone design. An appendix summarizes some of the basics of optimization needed to interpret the material in the book.

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Customer-Oriented Optimization in Public Transportation develops models, results and algorithms for optimizing public transportation from a customer-oriented point of view. The methods used are based on graph-theoretic approaches and integer programming. The specific topics are all motivated by real-world examples which occurred in practical projects. An appendix summarizes some of the basics of optimization needed to interpret the material in the book.In detail, the topics the book covers in its three parts are as follows:1. Stop location. Does it make sense to open new stations along existing bus or railway lines? If yes, in which locations? The problem is modeled as a continuous covering problem. To solve it the author develops a finite dominating set and shows that efficient methods are possible if the special structure of the covering matrix is used.2. Delay management. Should a train wait for delayed feeder trains or should it depart in time? The author builds up two different integer programming models and a model based on project planning methods. Properties and solution methods are developed.3. Tariff planning. Part 3 deals with the design of zone tariff systems, in which the fare is determined by the number of zones used by the passengers. The author presents a model for this problem and approaches based on clustering theory.

Inhalt

Preface 7
Contents 10
1 Customer-oriented Traffic Planning 13
Stop Location 21
2 Introduction 22
3 Covering All Demand Points 32
4 Bicriteria Stop Location 69
5 Extensions 84
Delay Management 101
6 Introduction 102
7 Delay Management With Fixed Connections 116
8 Minimizing the Sum of All Delays 126
9 The Bicriteria Delay Management Problem 181
10 Extensions 201
Tariff Planning 210
11 Introduction 211
12 Finding Zones and Zone Prices 222
A Integer Programming 240
B Bicriteria Optimization 242
C Gauges as Distance Measures 245
Frequently Used Notation 248
List of the Main Problems 251
References 252
Index 264

Produkt-Details

• Erscheint lt. Verlag: 27.1.2007
• Reihe/Serie: Springer Optimization and Its Applications
• Reihe/Serie: Springer Optimization and Its Applications
• Zusatzinfo: XIV, 268 p.
• Verlagsort: New York
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Informatik ► Programmiersprachen / -werkzeuge
• Themenwelt: Informatik ► Theorie / Studium ► Algorithmen
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Themenwelt: Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
• Themenwelt: Mathematik / Informatik ► Mathematik ► Finanz- / Wirtschaftsmathematik
• Themenwelt: Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
• Themenwelt: Technik
• Themenwelt: Wirtschaft ► Betriebswirtschaft / Management ► Planung / Organisation
• Themenwelt: Wirtschaft ► Betriebswirtschaft / Management ► Unternehmensführung / Management
• Schlagworte: algorithm • algorithms • combinatorial optimization • LA • Operations Research • Optimization • programming • Public transportation • SOIA
• ISBN-10: 0-387-36643-1 / 0387366431
• ISBN-13: 978-0-387-36643-2 / 9780387366432