Bibliographic Information

Optimization

edited by G.L. Nemhauser, A.H.G. Rinnooy Kan, M.J. Todd

(Handbooks in operations research and management science / editors, G.L. Nemhauser, A.H.G. Rinnooy Kan, v. 1)

North-Holland , Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1989

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Includes bibliographies and index

Description and Table of Contents

Description

Collected together in this book are ten state-of-the-art expository articles on the most important topics in optimization, written by leading experts in the field. The book therefore provides a primary reference for those performing research in some area of optimization or for those who have some basic knowledge of optimization techniques but wish to learn the most up-to-date and efficient algorithms for particular classes of problems. The first sections of each chapter are expository and therefore accessible to master's level graduate students. However, the chapters also contain advanced material on current topics of interest to researchers. For instance there are chapters which describe the polynomial-time linear programming algorithms of Khachian and Karmarkar and the techniques used to solve combinatorial and integer programming problems, an order of magnitude larger than was possible just a few years ago. Overall a comprehensive yet lively and up-to-date discussion of the state-of-the-art in optimization is presented in this book.

Table of Contents

A View of Unconstrained Optimization (J.E. Dennis Jr., R.B. Schnabel). Linear Programming (D. Goldfarb, M.J. Todd). Constrained Nonlinear Programming (P.E. Gill, W. Murray, M.A. Saunders, M.H. Wright). Network Flows (R.K. Ahuja, T.L. Magnanti, J.B. Orlin). Polyhedral Combinatorics (W.R. Pulleyblank). Integer Progamming (G.L. Nemhauser, L.A. Wolsey). Nondifferentiable Optimization (C. Lemarechal). Stochastic Programming (R.J.-B. Wets). Global Optimization (A.H.G. Rinnooy Kan, G.T. Timmer). Multiple Criteria Decision Making: Five Basic Concepts (P.L. Yu). Subject Index.

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