The enormous practical need for solving global optimization problems coupled with a rapidly advancing computer technology has allowed one to consider problems which a few years ago would have been considered computationally intractable. As a consequence, we are seeing the creation of a large and increasing number of diverse algorithms for solving a wide variety of multiextremal global optimization problems. The goal of this book is to systematically clarify and unify these diverse approaches in order to provide insight into the underlying concepts and their pro perties. Aside from a coherent view of the field much new material is presented. By definition, a multiextremal global optimization problem seeks at least one global minimizer of a real-valued objective function that possesses different local n minimizers. The feasible set of points in IR is usually determined by a system of inequalities. It is well known that in practically all disciplines where mathematical models are used there are many real-world problems which can be formulated as multi extremal global optimization problems.
Global optimization is one of the fastest developing fields in mathematical optimization. In fact, an increasing number of remarkably efficient deterministic algorithms have been proposed in the last ten years for solving several classes of large scale specially structured problems encountered in such areas as chemical engineering, financial engineering, location and network optimization, production and inventory control, engineering design, computational geometry, and multi-objective and multi-level optimization. These new developments motivated the authors to write a new book devoted to global optimization problems with special structures. Most of these problems, though highly nonconvex, can be characterized by the property that they reduce to convex minimization problems when some of the variables are fixed. A number of recently developed algorithms have been proved surprisingly efficient for handling typical classes of problems exhibiting such structures, namely low rank nonconvex structures. Audience: The book will serve as a fundamental reference book for all those who are interested in mathematical optimization.
This book is about Vietnamese grammar. It is necessary for people such as Vietnamese children who begin school without their mother language in foreign countries to learn Vietnamese. This is also for foreigners who would like to learn Vietnamese. The more different languages people know, the more different souls to comprehend other cultures. It is the authors interesting pleasure to learn foreign languages, such as American and French, and to introduce Vietnamese to others for mutual cultural exchange and mutual empathy.
Includes over 10 maps and illustrations This monograph forms part of the Indochina Monograph series written by senior military personnel from the former Army of the Republic of Vietnam who served against the northern communist invasion. “The war in Vietnam was often called an intelligence war. The challenges and responsibilities placed on the South Vietnam—United States—Free World intelligence community were great and constant. During this long war the entire intelligence program improved each day as our data base expanded, as more was learned about the elusive enemy, personnel were trained, and new procedures and techniques were tested and found effective. The most rewarding experience in intelligence activities during the Vietnam war was the very close cooperation and coordination between American and Vietnamese military intelligence personnel and systems. It was this cooperation that helped RVNAF military intelligence upgrade and become self-reliant during the post-cease-fire period. This monograph attempts to record all the facts concerning intelligence activities, its organizations and coordination procedures, its successes and failures during the period from 1965 to the final days of the Republic of Vietnam. In this attempt, one of the difficulties I faced was the lack of documentation to help make my work more accurate and more substantial. To overcome this shortcoming, I have interviewed several former colleagues of mine, American and Vietnamese, all of them highly experienced with intelligence activities in Vietnam. Apart from their invaluable contributions, most of the writing was based on my personal knowledge and experience.”-Author’s Preface.
Includes over 10 maps and illustrations This monograph forms part of the Indochina Monograph series written by senior military personnel from the former Army of the Republic of Vietnam who served against the northern communist invasion. “During the war years, the Republic of Vietnam and the United States pursued a common goal; their armed forces fought against the same enemy, under the same campaign plan, with the same weapon systems, and in the same environment. The strategic approaches to fighting this war, however, evolved through several stages depending on the enemy’s kind of warfare and force structure; so did the tactics designed to counter his large-unit and guerrilla activities. This monograph endeavors, therefore, to trace back and evaluate our strategic alternatives at each stage of the war and the evolving tactics employed, with particular emphasis on the period of American withdrawal and reduced support. In the preparation of this monograph, I have expressly confined my discussions of strategy to its military aspect. While this conforms to the limited scope of a military subject, the encompassing nature of strategy, especially one conceived to face the enemy’s approach to total war, implies that for a better understanding of military strategy, the interplay of social, political, and economic factors should also be brought in as a backdrop. Therefore, wherever appropriate, I have found it necessary to place strategic discussions in the total war context.”-Author’s Introduction.
What we See, Why we Worry, Why we Hope: Vietnam Going Forward explores key factors that affect Vietnam’s ability to move forward as a global economic player. While we see challenges, we see many reasons for hope, including a new generation of leaders. "We – the Vietnamese entrepreneurs and businesspeople – who have the wish of making Vietnam a better place to work and live have both worries and hopes for our home country. The authors have done a nice job of presenting a new Vietnam, a multi-colored society and an emerging market economy, with a simple and fun-to-read style. The book delivers many important messages to western readers and I appreciate the efforts by the authors trying to bring Vietnam to the world, and the world to Vietnam." - Vu Quang Hoi, Chairman, The Bitexco Group "A cogent and compelling look at contemporary Vietnam with all its complexities and contradictions.Vuong Quan Hoang and Nancy Napier have given us a well-written and accessible guide to understanding the changes that Vietnam has gone through in the last decade. This book will be of great use to anyone wanting to understand Vietnam today" - Anya Schiffrin, Columbia University, School of International and Public Affairs "The book is very well written and the stories are inspirational. The book has great value to be read by all Vietnamese, especially the younger generations." - Loke Kiang Wong, Retired Captain Singapore Navy, Contributor to Vietnamica.net
Due to the general complementary convex structure underlying most nonconvex optimization problems encountered in applications, convex analysis plays an essential role in the development of global optimization methods. This book develops a coherent and rigorous theory of deterministic global optimization from this point of view. Part I constitutes an introduction to convex analysis, with an emphasis on concepts, properties and results particularly needed for global optimization, including those pertaining to the complementary convex structure. Part II presents the foundation and application of global search principles such as partitioning and cutting, outer and inner approximation, and decomposition to general global optimization problems and to problems with a low-rank nonconvex structure as well as quadratic problems. Much new material is offered, aside from a rigorous mathematical development. Audience: The book is written as a text for graduate students in engineering, mathematics, operations research, computer science and other disciplines dealing with optimization theory. It is also addressed to all scientists in various fields who are interested in mathematical optimization.
The main contents and character of the monograph did not change with respect to the first edition. However, within most chapters we incorporated quite a number of modifications which take into account the recent development of the field, the very valuable suggestions and comments that we received from numerous colleagues and students as well as our own experience while using the book. Some errors and misprints in the first edition are also corrected. Reiner Horst May 1992 Hoang Tuy PREFACE TO THE FIRST EDITION The enormous practical need for solving global optimization problems coupled with a rapidly advancing computer technology has allowed one to consider problems which a few years aga would have been considered computationally intractable. As a consequence, we are seeing the creation of a large and increasing number of diverse algorithms for solving a wide variety of multiextremal global optimization problems. The goal of this book is to systematically clarify and unify these diverse approaches in order to provide insight into the underlying concepts and their pro perties. Aside from a coherent view of the field much new material is presented.
This book presents state-of-the-art results and methodologies in modern global optimization, and has been a staple reference for researchers, engineers, advanced students (also in applied mathematics), and practitioners in various fields of engineering. The second edition has been brought up to date and continues to develop a coherent and rigorous theory of deterministic global optimization, highlighting the essential role of convex analysis. The text has been revised and expanded to meet the needs of research, education, and applications for many years to come. Updates for this new edition include: · Discussion of modern approaches to minimax, fixed point, and equilibrium theorems, and to nonconvex optimization; · Increased focus on dealing more efficiently with ill-posed problems of global optimization, particularly those with hard constraints; · Important discussions of decomposition methods for specially structured problems; · A complete revision of the chapter on nonconvex quadratic programming, in order to encompass the advances made in quadratic optimization since publication of the first edition. · Additionally, this new edition contains entirely new chapters devoted to monotonic optimization, polynomial optimization and optimization under equilibrium constraints, including bilevel programming, multiobjective programming, and optimization with variational inequality constraint. From the reviews of the first edition: The book gives a good review of the topic. ...The text is carefully constructed and well written, the exposition is clear. It leaves a remarkable impression of the concepts, tools and techniques in global optimization. It might also be used as a basis and guideline for lectures on this subject. Students as well as professionals will profitably read and use it.—Mathematical Methods of Operations Research, 49:3 (1999)
Global optimization is one of the fastest developing fields in mathematical optimization. In fact, an increasing number of remarkably efficient deterministic algorithms have been proposed in the last ten years for solving several classes of large scale specially structured problems encountered in such areas as chemical engineering, financial engineering, location and network optimization, production and inventory control, engineering design, computational geometry, and multi-objective and multi-level optimization. These new developments motivated the authors to write a new book devoted to global optimization problems with special structures. Most of these problems, though highly nonconvex, can be characterized by the property that they reduce to convex minimization problems when some of the variables are fixed. A number of recently developed algorithms have been proved surprisingly efficient for handling typical classes of problems exhibiting such structures, namely low rank nonconvex structures. Audience: The book will serve as a fundamental reference book for all those who are interested in mathematical optimization.
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