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.
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Editorial Reviews
Review
1990 ...very interesting, clearly and professionally written and inspiring as a source for further researches. Everyone who is interested in optimization should be acquainted with this work. -- Zentralblatt für Mathematik
1990 This highly recommended text is a collection of expository articles written by experts in their field... This book is the first of a series on management science topics written in this format; it is earnestly hoped that the subsequent volumes will adhere to the high standards set by the contributors and editors here. To anyone whose research interests are, or are about to be, optimization, this lively and stimulating book will be invaluable. -- Short Book Reviews
1990 This is a great book. -- Journal of the Operational Research Society
1990 This is a great book. -- Journal of the Operational Research Society
1991 ...a valuable and copious representation of progress in optimization... a necessary book for all those who are concerned with optimization. -- Optimization
1990 This highly recommended text is a collection of expository articles written by experts in their field... This book is the first of a series on management science topics written in this format; it is earnestly hoped that the subsequent volumes will adhere to the high standards set by the contributors and editors here. To anyone whose research interests are, or are about to be, optimization, this lively and stimulating book will be invaluable. -- Short Book Reviews
1990 This is a great book. -- Journal of the Operational Research Society
1990 This is a great book. -- Journal of the Operational Research Society
1991 ...a valuable and copious representation of progress in optimization... a necessary book for all those who are concerned with optimization. -- Optimization
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Very insightful.,
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This review is from: Optimization, Volume 1 (Handbooks in Operations Research and Management Science) (Hardcover)
I think it's a very useful handbook which contains the traditional optimization topics treated with the necessary theoretical emphasis.
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Inside This Book
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First Sentence:
This chapter discusses the most basic nonlinear optimization problem in continuous variables, the unconstrained optimization problem. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
successive shortest path algorithm, strongly feasible basis, nonnegative arc lengths, satisficing set, thread indices, minimum cost flow problem, flow equivalent tree, nonsaturating pushes, shortest augmenting path algorithm, highest distance label, admissible network, algorithm relabels, label correcting algorithm, smallest distance label, spanning tree property, relabel operation, cycle free property, minimal defining system, temporary distance label, using predecessor indices, minimum distance label, admissible arcs, combinatorial polyhedra, forward star representation, node packing Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Academic Press, Rinnooy Kan, Lecture Notes, Annals of Discrete Mathematics, John Wiley, Van Roy, Hessian of the Lagrangian, Mathematics of Computation, University of California, Princeton University Press, Englewood Cliffs, University of Waterloo, Discrete Applied Mathematics, Van Loan, Bell Laboratories, Stanford University, Transportation Networks, Classified Bibliography, Columbia University, Department of Computer Science, Department of Mathematical Sciences, Department of Mathematics, Flow Chart, Mathematical Software New!
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This chapter discusses the most basic nonlinear optimization problem in continuous variables, the unconstrained optimization problem. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
successive shortest path algorithm, strongly feasible basis, nonnegative arc lengths, satisficing set, thread indices, minimum cost flow problem, flow equivalent tree, nonsaturating pushes, shortest augmenting path algorithm, highest distance label, admissible network, algorithm relabels, label correcting algorithm, smallest distance label, spanning tree property, relabel operation, cycle free property, minimal defining system, temporary distance label, using predecessor indices, minimum distance label, admissible arcs, combinatorial polyhedra, forward star representation, node packing Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Academic Press, Rinnooy Kan, Lecture Notes, Annals of Discrete Mathematics, John Wiley, Van Roy, Hessian of the Lagrangian, Mathematics of Computation, University of California, Princeton University Press, Englewood Cliffs, University of Waterloo, Discrete Applied Mathematics, Van Loan, Bell Laboratories, Stanford University, Transportation Networks, Classified Bibliography, Columbia University, Department of Computer Science, Department of Mathematical Sciences, Department of Mathematics, Flow Chart, Mathematical Software New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 98
books:
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- Combinatorial Optimization (3 volume, A,B, & C) by Alexander Schrijver on 7 pages
- Nonlinear Programming (Classics in Applied Mathematics) by Olvi L. Mangasarian on 5 pages
- Operations Research by K. Chandrasekhara Rao on 4 pages
- Integer and Combinatorial Optimization by Laurence A. Wolsey on 4 pages
- Discrete Mathematics by Wiley on page 445, page 525, and page 527
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