Optimization in Medicine
Optimization has become an essential tool in addressing the limitation of resources and need for better decision-making in the medical field. Both continuous and discrete mathematical techniques are playing an increasingly important role in understanding
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Springer Series in Optimization and Its Applications VOLUME 12 Managing Editor Panos M. Pardalos (University of Florida) Editor—Combinatorial Optimization Ding-Zhu Du (University of Texas at Dallas) Advisory Board J. Birge (University of Chicago) C.A. Floudas (Princeton University) F. Giannessi (University of Pisa) H.D. Sherali (Virginia Polytechnic and State University) T. Terlaky (McMaster University) Y. Ye (Stanford University) Aims and Scope Optimization has been expanding in all directions at an astonishing rate during the last few decades. New algorithmic and theoretical techniques have been developed, the diffusion into other disciplines has proceeded at a rapid pace, and our knowledge of all aspects of the field has grown even more profound. At the same time, one of the most striking trends in optimization is the constantly increasing emphasis on the interdisciplinary nature of the field. Optimization has been a basic tool in all areas of applied mathematics, engineering, medicine, economics and other sciences. The Springer Series in Optimization and Its Applications publishes undergraduate and graduate textbooks, monographs and state-of-the-art expository works that focus on algorithms for solving optimization problems and also study applications involving such problems. Some of the topics covered include nonlinear optimization (convex and nonconvex), network flow problems, stochastic optimization, optimal control, discrete optimization, multi-objective programming, description of software packages, approximation techniques and heuristic approaches.
Carlos J. S. Alves Panos M. Pardalos Luis Nunes Vicente Editors
Optimization in Medicine
ABC
Editors Carlos J. S. Alves Instituto Superior Técnico Av. Rovisco Pais 1 1049-001 Lisboa Portugal
Panos M. Pardalos Department of Industrial and Systems Engineering University of Florida 303 Weil Hall Gainesville, FL 32611 USA
Luis Nunes Vicente Departamento de Matemática Faculdade de Ciências e Tecnologia Universidade de Coimbra 3001-454 Coimbra Portugal
Managing Editor:
Editor/Combinatorial Optimization
Panos M. Pardalos University of Florida
Ding-Zhu Du University of Texas at Dallas
ISBN 978-0-387-73298-5 e-ISBN 978-0-387-73299-2 DOI:10.1007/978-0-387-73299-2 Library of Congress Control Number: 2007934793 Mathematics Subject Classification (2000): 49XX, 46N60 c 2008 Springer Science+Business Media, LLC All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer Science+Business Media, LLC, 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use in this publication of trade names, trademarks, service marks, and similar terms, even if they are not identified as such, is not to be taken as an expression of opinio
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