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Dynamic Travel Choice Models

A Variational Inequality Approach

  • Book
  • © 1999

Overview

Authors:
  1. Huey-Kuo Chen

    1. Department of Civil Engineering, National Central University, Chung-Li, Taiwan ROC

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  • Better understanding of the transportation planning process In-depth skills of mathematical programming

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Table of contents (14 chapters)

  1. Front Matter

    Pages i-xvii
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  2. Analysis of Dynamic Transportation Systems

    • Huey-Kuo Chen
    Pages 1-17

  3. Mathematical Background

    • Huey-Kuo Chen
    Pages 19-36

  4. Network Flow Constraints and Link Travel Time Function Analysis

    • Huey-Kuo Chen
    Pages 37-54

  5. Dynamic User-Optimal Route Choice Model

    • Huey-Kuo Chen
    Pages 55-71

  6. Algorithms for the Dynamic Route Choice Model

    • Huey-Kuo Chen
    Pages 73-84

  7. Dynamic User-Optimal Departure Time/Route Choice Model

    • Huey-Kuo Chen
    Pages 85-102

  8. Dynamic User-Optimal Models with Variable Demand

    • Huey-Kuo Chen
    Pages 103-127

  9. Dynamic User-Optimal Mode Choice Models

    • Huey-Kuo Chen
    Pages 129-158

  10. Dynamic User-Optimal Singly Constrained O-D Choice Models

    • Huey-Kuo Chen
    Pages 159-179

  11. Dynamic System-Optimal Route Choice Model

    • Huey-Kuo Chen
    Pages 181-199

  12. Dynamic Signal Control Systems

    • Huey-Kuo Chen
    Pages 201-227

  13. Stochastic/Dynamic User-Optimal Route Choice Model

    • Huey-Kuo Chen
    Pages 229-253

  14. Fuzzy/Dynamic User-Optimal Route Choice Model

    • Huey-Kuo Chen
    Pages 255-275

  15. Future Research and Applications

    • Huey-Kuo Chen
    Pages 277-287

  16. Back Matter

    Pages 289-320
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Keywords

About this book

This book is the result of several years of research into the modeling and algorithm of problems in dynamic travel choice and related areas. Three types of discreteยญ time dynamic travel choice models, along with numerical examples, are presented, i.e., deterministic, stochastic and fuzzy models. The notable features pertaining to these models are as follows: 1. The asymmetric property of the dynamic link travel time function is clearly verified, which leads to a variational inequality formulation. 2. The flow propagation constraint is implicitly defined in our model through the incidence relationship between the link inflow and route flow. 3. The inflow, exit flow, and number of vehicles on a link are identified as the three different states over time for the same vehicles under the flow propagation process. Therefore, only one link variable needs to be used in our dynamic travel choice models. This treatment can largely simplify the models' complexity, and possibly reduce the computation time. 4. The developed time-space network is consistent with scaling units both in temporal and spatial dimensions. 5. The proposed nested diagonalization method takes care of two types of link interactions, i.e., actual link travel times, and inflows other than that on the subject time-space link. 6. The equivalence analysis between a dynamic travel choice model and its corresponding equilibrium condition is performed by proving both the necessary and sufficient conditions under the presumption of equilibrated actual travel times.

Authors and Affiliations

  • Department of Civil Engineering, National Central University, Chung-Li, Taiwan ROC

    Huey-Kuo Chen

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