Optimal Urban Networks via Mass Transportation
Recently much attention has been devoted to the optimization of transportation networks in a given geographic area. One assumes the distributions of population and of services/workplaces (i.e. the network's sources and sinks) are known, as well as the cos
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1961
Giuseppe Buttazzo · Aldo Pratelli Sergio Solimini · Eugene Stepanov
Optimal Urban Networks via Mass Transportation
ABC
Giuseppe Buttazzo
Aldo Pratelli
Dipartimento di Matematica Università di Pisa Largo Bruno Pontecorvo 5 56127 Pisa Italy [email protected]
Dipartimento di Matematica Università di Pavia Via Ferrata 1, 27100 Pavia Italy [email protected]
Sergio Solimini
Eugene Stepanov
Dipartimento di Matematica Politecnico di Bari Via Amendola 126/b 70126 Bari Italy [email protected]
St. Petersburg University of Information Technology, Mechanics and Optics Kronverkskij pr. 49 197101 St. Petersburg Russia [email protected]
ISBN: 978-3-540-85798-3 e-ISBN: 978-3-540-85799-0 DOI: 10.1007/978-3-540-85799-0 Lecture Notes in Mathematics ISSN print edition: 0075-8434 ISSN electronic edition: 1617-9692 Library of Congress Control Number: 2008935629 Mathematics Subject Classification (2000): 49J45, 49Q10, 49Q15, 49Q20, 90B06, 90B10, 90B20 c 2009 Springer-Verlag Berlin Heidelberg ° This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable to prosecution under the German Copyright Law. The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. Cover design: SPi Publisher Services Printed on acid-free paper 9 8 7 6 5 4 3 2 1 springer.com
Preface
The monograph is dedicated to a class of models of optimization of transportation networks (urban traffic networks or networks of railroads and highways) in the given geographic area. One assumes that the data on distributions of population and of services/workplaces (i.e. sources and sinks of the network) as well as the costs of movement with and without the help of the network to be constructed, are known. Further, the models take into consideration both the cost of everyday movement of the population and the cost of construction and maintenance of the network, the latter being determined by a given function on the total length of the network. The above data suffice, if one considers optimization in long-term prospective, while for the short-term optimization one also needs to know the transport plan of everyday movements of the population (i.e. the information on “who goes where”). Similar models can also be adapted for the optimization of networks of different nature, like telecommunication, pipeline or drainage networks. In the monograph we study the most general problem s
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