Urban Transportation Networks.pdf

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URBAN TRANSPORTATION NETWORKS _·I_ ____

_ __ _ __ _ ____I 1_· __I

YOSEF SHEFFI Massachusetts Institute of Technology URBAN TRANSPORTATION NETWORKS: Equilibrium Analysis with Mathematical Programming Methods PRENTICE-HALL, INC., Englewood Cliffs, New Jersey 07632 _ __ __ __ __

Library of Congress Cataloging in Publication Data Sheffi, Yosef. (date) Urban transportation networks. Bibliography: p. Includes index. 1. Urban transportation-Mathematical models. I. Title. HE305.S54 1984 ISBN 0-13-939729-9 388.4'0724 84-9913 Editorial/production supervision: Gretchen K. Chenenko, Ros Herion, and Nancy DeWolfe Interior design: Gretchen K. Chenenko Cover design: Diane Saxe Manufacturing buyer: Anthony Caruso Cover photo: Ken Karp © 1985 by Prentice-Hall, Inc., Englewood Cliffs, N.J. 07632 All rights reserved. No part of this book may be reproduced in any form or by any means without permission in writing from the publisher. Printed in the United States of America 10 9 8 7 6 5 4 3 2 1 ISBN 0-13-939729-9 01 Prentice-Hall International, Inc., London Prentice-Hall of Australia Pty. Limited, Sydney Prentice-Hall Canada Inc., Toronto Prentice-Hall of India Private Limited, New Delhi Prentice-Hall of Japan, Inc., Tokyo Prentice-Hall of Southeast Asia Pte. Ltd., Singapore Whitehall Books Limited, Wellington, New Zealand ·i _··

To Anat __I_ I____ ____ __

*1CI -- -----31 ·r __-_---·I- ---- - - 111

Contents PREFACE xv Part I Urban Networks and Equilibrium I URBAN TRANSPORTATION NETWORKS ANALYSIS 2 1.1 1.2 1.3 1.4 1.5 1.6 10 Equilibrium Analysis of Transportation Systems 4 Systems approach to urban transportation, 4 Equilibrium in markets, 6 The transportation arena, 9 Network Representation Representation of the urban road network, 11 Representation of the transit network, 13 Centroids and connectors, 14 Link performancefunctions, 16 Equilibrium over Urban Transportation Networks Definitions of equilibria, 18 A simple user-equilibrium example, 20 Outline, 23 Summary Annotated References Problems 25 18 24 25 ._.__ ___ vii

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