Transportation Planning State of the Art

This book collects selected presentations of the Meeting of the EURO Working Group on Transportation, which took place at the Department of Ma- ematics at Chalmers University of Technology, Göteborg (or, Gothenburg), Sweden, September 9–11, 1998. [The EUR

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Applied Optimization Volume 64

Series Editors: Panos M. Pardalos University of Florida, U.S.A. Donald Hearn University of Florida, U.S.A.

The titles published in this series are listed at the end of this volume.

Transportation Planning State of the Art

Edited by

Michael Patriksson Department of Mathematics, Chambers University of Technology, Gothenburg, Sweden and

Martine Labbé ISRO and SMG, Université de Bruxelles, CP 210-01, Bruxelles, Belgium

KLUWER ACADEMIC PUBLISHERS NEW YORK, BOSTON, DORDRECHT, LONDON, MOSCOW

eBook ISBN: Print ISBN:

0-306-48220-7 1-4020-0546-6

©2004 Kluwer Academic Publishers New York, Boston, Dordrecht, London, Moscow Print ©2002 Kluwer Academic Publishers Dordrecht All rights reserved

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Contents

Preface

ix

1 Origin-Based Network Assignment Hillel Bar-Gera, David Boyce Introduction 1.1 Problem statement 1.2 1.3 Review of solution methods for TAP An origin-based method for TAP 1.4 Experimental results 1.5 1.6 Discussion Conclusions 1.7 2 On Traffic Equilibrium Models with a Nonlinear Time/Money Relation Torbjörn Larsson, Per Olov Lindberg, Michael Patriksson, Clas Rydergren 2.1 Introduction 2.2 The time-based traffic equilibrium problem 2.3 Solution approaches 2.4 A route generation algorithm 2.5 Numerical tests 3 Stochastic Network Equilibrium Under Stochastic Demand David Watling Introduction 3.1 Notation 3.2 3.3 Critique of SUE in the context of day-to-day variability 3.4 Equilibrium conditions: fixed demand Equilibrium conditions: stochastic demand 3.5 3.6 Solution algorithm 3.7 Numerical tests 3.8 Conclusion 4 Stochastic Assignment with Gammit Path Choice Models Giulio Erberto Cantarella, Mario Giuseppe Binetti Introduction 4.1 4.2 Review of stochastic assignment

v

1 1 2 4 6 7 13 14

19 20 21 23 26 27 33 33 35 37 40 44 45 46 49 53 53 55

vi

TRANSPORTATION PLANNING 4.3 4.4 4.5

Probabilistic path choice models Numerical examples Conclusions

5 Estimation of Travel Time Reliability Chris Cassir, Michael G.H. Bell Introduction 5.1 Logit SUE model 5.2 Logit SUE sensitivity analysis 5.3 5.4 Approximation of travel times variances Example 5.5 Conclusion 5.6 6 A Joint Model of Mode/Parking Choice with Elastic Parking Demand Pierluigi Coppola 6.1 Background and objectives The parking choice sub-model 6.2 The mode choice sub-model 6.3 Simulation of realistic parking policies 6.4 7 A New General Equilibrium Model Yanling Xiang, Michael J. Smith, Miles Logie Introduction 7.1 DREAM—The general equilibrium model 7.2 An outline of the DREAM model 7.3 Features of the general equilibrium model 7.4 Test Results 7.5 8 Macroscopic Flow Models J.P. Lebacque, M.M. Khoshyaran 8.1 Introduction 8.2 The basic model LWR model for a link Partial flow models for links 8.3 8.