Control of Freeway Traffic Flow
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#1997 Operational Research Society Ltd. All rights reserved. 0160-5682/97 $12.00
Book Selection Edited by JOHN M. WILSON PINTER JD. Global Optimization in ActionÿContinuous and Lipschitz Optimization: Algorithms, Implementations and Applications DAGANZO CF. Logistics Systems Analysis (second edition) SMULDERS SA. Control of Freeway Traf®c Flow DERR KW. Applying OMT ± A Practical Step-by-Step Guide to Using the Object Oriented Modelling Technique
Global Optimization in ActionÿContinuous and Lipschitz Optimization: Algorithms, Implementations and Applications Pinter JD Kluwer Academic Publishers, Dordrecht, 1996. xxvii 478 pp. £127.00. ISBN 0 7923 3757 3 Most books on mathematical programming, especially those dealing with nonlinear optimization, share two important defects which prevent them from being really useful outside the advanced theoretical research groups. The ®rst of these is the absence of real applications: almost all such books start assessing the enormous practical relevance of mathematical programming, sometimes include a list of real-world problems, but, after a few pages, they deal exclusively with the theory of optimization and of optimization algorithms. The second important defect, shared by the vast majority of books dealing with non-linear optimization, is that they deal just with local optimization: non convexity and multi-extremality are considered too pathological and intractable to deserve attention. Unfortunately most real world problems do not possess any kind of convexity. (Think, as a simple example, of the huge class of discrete optimization models). This book, at least in part, tries to overcome the above dif®culties: it is a book on global optimization (the 6th in the series on `Nonconvex Optimization and its Applications' published by Kluwer) and it extensively reports on applications, with a special emphasis on applications to environmental problems. Most of the book is related to research carried out by the author, with many other researchers, during the last few years. The book, thus, is not a broad spectrum of the state of the art in global optimization and its applications, but is more a detailed account of theory, algorithms and applications in some
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selected ®elds of expertise of the author. This fact represents both a strength and a weakness of this volume. The book is organized in four parts. Part One contains a short overview of theory and methods of global optimization; Part Two deals with the main research topic of the author, namely the analysis and the development of global optimization algorithms for Lipschitz continuous functions, both in the unconstrained and in the constrained case. Part Three deals with some lower level details on the implementation of global optimization methods and on extensions, in particular to stochastic problems. Part Four, which accounts for more than half the book, deals with several applications, ranging from systems of equations, to data classi®cation, aquifer model calibration, the management of industrial wastewater
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