Nonlinear Programming

Nonlinear Programming
Author :
Publisher : SIAM
Total Pages : 226
Release :
ISBN-10 : 1611971314
ISBN-13 : 9781611971316
Rating : 4/5 (14 Downloads)

Synopsis Nonlinear Programming by : Anthony V. Fiacco

Recent interest in interior point methods generated by Karmarkar's Projective Scaling Algorithm has created a new demand for this book because the methods that have followed from Karmarkar's bear a close resemblance to those described. There is no other source for the theoretical background of the logarithmic barrier function and other classical penalty functions. Analyzes in detail the "central" or "dual" trajectory used by modern path following and primal/dual methods for convex and general linear programming. As researchers begin to extend these methods to convex and general nonlinear programming problems, this book will become indispensable to them.

Encyclopedia of Operations Research and Management Science

Encyclopedia of Operations Research and Management Science
Author :
Publisher : Springer Science & Business Media
Total Pages : 774
Release :
ISBN-10 : 9781461304593
ISBN-13 : 1461304598
Rating : 4/5 (93 Downloads)

Synopsis Encyclopedia of Operations Research and Management Science by : Saul I. Gass

Operations Research: 1934-1941," 35, 1, 143-152; "British The goal of the Encyclopedia of Operations Research and Operational Research in World War II," 35, 3, 453-470; Management Science is to provide to decision makers and "U. S. Operations Research in World War II," 35, 6, 910-925; problem solvers in business, industry, government and and the 1984 article by Harold Lardner that appeared in academia a comprehensive overview of the wide range of Operations Research: "The Origin of Operational Research," ideas, methodologies, and synergistic forces that combine to 32, 2, 465-475. form the preeminent decision-aiding fields of operations re search and management science (OR/MS). To this end, we The Encyclopedia contains no entries that define the fields enlisted a distinguished international group of academics of operations research and management science. OR and MS and practitioners to contribute articles on subjects for are often equated to one another. If one defines them by the which they are renowned. methodologies they employ, the equation would probably The editors, working with the Encyclopedia's Editorial stand inspection. If one defines them by their historical Advisory Board, surveyed and divided OR/MS into specific developments and the classes of problems they encompass, topics that collectively encompass the foundations, applica the equation becomes fuzzy. The formalism OR grew out of tions, and emerging elements of this ever-changing field. We the operational problems of the British and U. s. military also wanted to establish the close associations that OR/MS efforts in World War II.

Online Optimization of Large Scale Systems

Online Optimization of Large Scale Systems
Author :
Publisher : Springer Science & Business Media
Total Pages : 789
Release :
ISBN-10 : 9783662043318
ISBN-13 : 3662043319
Rating : 4/5 (18 Downloads)

Synopsis Online Optimization of Large Scale Systems by : Martin Grötschel

In its thousands of years of history, mathematics has made an extraordinary ca reer. It started from rules for bookkeeping and computation of areas to become the language of science. Its potential for decision support was fully recognized in the twentieth century only, vitally aided by the evolution of computing and communi cation technology. Mathematical optimization, in particular, has developed into a powerful machinery to help planners. Whether costs are to be reduced, profits to be maximized, or scarce resources to be used wisely, optimization methods are available to guide decision making. Opti mization is particularly strong if precise models of real phenomena and data of high quality are at hand - often yielding reliable automated control and decision proce dures. But what, if the models are soft and not all data are around? Can mathematics help as well? This book addresses such issues, e. g. , problems of the following type: - An elevator cannot know all transportation requests in advance. In which order should it serve the passengers? - Wing profiles of aircrafts influence the fuel consumption. Is it possible to con tinuously adapt the shape of a wing during the flight under rapidly changing conditions? - Robots are designed to accomplish specific tasks as efficiently as possible. But what if a robot navigates in an unknown environment? - Energy demand changes quickly and is not easily predictable over time. Some types of power plants can only react slowly.

Encyclopedia of Optimization

Encyclopedia of Optimization
Author :
Publisher : Springer Science & Business Media
Total Pages : 4646
Release :
ISBN-10 : 9780387747583
ISBN-13 : 0387747583
Rating : 4/5 (83 Downloads)

Synopsis Encyclopedia of Optimization by : Christodoulos A. Floudas

The goal of the Encyclopedia of Optimization is to introduce the reader to a complete set of topics that show the spectrum of research, the richness of ideas, and the breadth of applications that has come from this field. The second edition builds on the success of the former edition with more than 150 completely new entries, designed to ensure that the reference addresses recent areas where optimization theories and techniques have advanced. Particularly heavy attention resulted in health science and transportation, with entries such as "Algorithms for Genomics", "Optimization and Radiotherapy Treatment Design", and "Crew Scheduling".

Multivalued Analysis and Nonlinear Programming Problems with Perturbations

Multivalued Analysis and Nonlinear Programming Problems with Perturbations
Author :
Publisher : Springer Science & Business Media
Total Pages : 218
Release :
ISBN-10 : 9781475734683
ISBN-13 : 1475734689
Rating : 4/5 (83 Downloads)

Synopsis Multivalued Analysis and Nonlinear Programming Problems with Perturbations by : B. Luderer

The book presents a treatment of topological and differential properties of multivalued mappings and marginal functions. In addition, applications to sensitivity analysis of nonlinear programming problems under perturbations are studied. Properties of marginal functions associated with optimization problems are analyzed under quite general constraints defined by means of multivalued mappings. A unified approach to directional differentiability of functions and multifunctions forms the base of the volume. Nonlinear programming problems involving quasidifferentiable functions are considered as well. A significant part of the results are based on theories and concepts of two former Soviet Union researchers, Demyanov and Rubinov, and have never been published in English before. It contains all the necessary information from multivalued analysis and does not require special knowledge, but assumes basic knowledge of calculus at an undergraduate level.

Basic Mathematical Programming Theory

Basic Mathematical Programming Theory
Author :
Publisher : Springer Nature
Total Pages : 443
Release :
ISBN-10 : 9783031303241
ISBN-13 : 3031303245
Rating : 4/5 (41 Downloads)

Synopsis Basic Mathematical Programming Theory by : Giorgio Giorgi

The subject of (static) optimization, also called mathematical programming, is one of the most important and widespread branches of modern mathematics, serving as a cornerstone of such scientific subjects as economic analysis, operations research, management sciences, engineering, chemistry, physics, statistics, computer science, biology, and social sciences. This book presents a unified, progressive treatment of the basic mathematical tools of mathematical programming theory. The authors expose said tools, along with results concerning the most common mathematical programming problems formulated in a finite-dimensional setting, forming the basis for further study of the basic questions on the various algorithmic methods and the most important particular applications of mathematical programming problems. This book assumes no previous experience in optimization theory, and the treatment of the various topics is largely self-contained. Prerequisites are the basic tools of differential calculus for functions of several variables, the basic notions of topology and of linear algebra, and the basic mathematical notions and theoretical background used in analyzing optimization problems. The book is aimed at both undergraduate and postgraduate students interested in mathematical programming problems but also those professionals who use optimization methods and wish to learn the more theoretical aspects of these questions.

Acta Numerica 1993: Volume 2

Acta Numerica 1993: Volume 2
Author :
Publisher : Cambridge University Press
Total Pages : 344
Release :
ISBN-10 : 0521443563
ISBN-13 : 9780521443562
Rating : 4/5 (63 Downloads)

Synopsis Acta Numerica 1993: Volume 2 by : Arieh Iserles

Continuing the tradition established with the 1992 volume, this 1993's Acta Numerica presents six invited papers on a broad range of topics from numerical analysis. Papers treat each topic at a level intelligible by any numerical analyst from graduate student to professional.

Mathematical Programming with Data Perturbations

Mathematical Programming with Data Perturbations
Author :
Publisher : CRC Press
Total Pages : 460
Release :
ISBN-10 : 9781000153668
ISBN-13 : 1000153665
Rating : 4/5 (68 Downloads)

Synopsis Mathematical Programming with Data Perturbations by : Anthony V. Fiacco

Presents research contributions and tutorial expositions on current methodologies for sensitivity, stability and approximation analyses of mathematical programming and related problem structures involving parameters. The text features up-to-date findings on important topics, covering such areas as the effect of perturbations on the performance of algorithms, approximation techniques for optimal control problems, and global error bounds for convex inequalities.

Applied Optimization

Applied Optimization
Author :
Publisher : Cambridge University Press
Total Pages : 859
Release :
ISBN-10 : 9781107394087
ISBN-13 : 1107394082
Rating : 4/5 (87 Downloads)

Synopsis Applied Optimization by : Ross Baldick

The starting point in the formulation of any numerical problem is to take an intuitive idea about the problem in question and to translate it into precise mathematical language. This book provides step-by-step descriptions of how to formulate numerical problems and develops techniques for solving them. A number of engineering case studies motivate the development of efficient algorithms that involve, in some cases, transformation of the problem from its initial formulation into a more tractable form. Five general problem classes are considered: linear systems of equations, non-linear systems of equations, unconstrained optimization, equality-constrained optimization and inequality-constrained optimization. The book contains many worked examples and homework exercises and is suitable for students of engineering or operations research taking courses in optimization. Supplementary material including solutions, lecture slides and appendices are available online at www.cambridge.org/9780521855648.