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COMPREHENSIVE COVERAGE OF NONLINEAR PROGRAMMING THEORY AND ALGORITHMS, THOROUGHLY REVISED AND EXPANDED Nonlinear Programming: Theory and Algorithms—now in an extensively updated Third Edition—addresses the problem of optimizing an objective function in the presence of equality and inequality constraints. Many realistic problems cannot be adequately represented as a linear program owing to the nature of the nonlinearity of the objective function and/or the nonlinearity of any constraints. The Third Edition begins with a general introduction to nonlinear programming with illustrative examples and guidelines for model construction. Concentration on the three major parts of nonlinear program...
Table of contents
As the Solutions Manual, this book is meant to accompany the main title, Nonlinear Programming: Theory and Algorithms, Third Edition. This book presents recent developments of key topics in nonlinear programming (NLP) using a logical and self-contained format. The volume is divided into three sections: convex analysis, optimality conditions, and dual computational techniques. Precise statements of algortihms are given along with convergence analysis. Each chapter contains detailed numerical examples, graphical illustrations, and numerous exercises to aid readers in understanding the concepts and methods discussed.
The book addresses the problem of minimizing or maximizing a linear function in the presence of linear equality or inequality constraints. The general theory and characteristics of optimization problems are presented, along with effective solution algorithms. It explores linear programming and network flows, employing polynomial-time algorithms and various specializations of the simplex method. The text also includes many numerical examples to illustrate theory and techniques.· Linear Algebra, Convex Analysis, and Polyhedral Sets· The Simplex Method· Starting Solution and Convergence· Special Simplex Implementations and Optimality Conditions· Duality and Sensitivity Analysis· The Decomposition Principle· Complexity of the Simplex Algorithm and Polynomial Algorithms· Minimal Cost Network Flows· The Transportation and Assignment Problems· The Out-of-Kilter Algorithm· Maximal Flow, Shortest Path, Multicommodity Flow, and Network Synthesis Problems
How can you turn an English department into a revenue center? How do you grade students if they are "customers" you must please? How do you keep industry from dictating a university's research agenda? What happens when the life of the mind meets the bottom line? Wry and insightful, Shakespeare, Einstein, and the Bottom Line takes us on a cross-country tour of the most powerful trend in academic life today--the rise of business values and the belief that efficiency, immediate practical usefulness, and marketplace triumph are the best measures of a university's success. With a shrewd eye for the telling example, David Kirp relates stories of marketing incursions into places as diverse as New Y...
The book is an introductory textbook mainly for students of computer science and mathematics. Our guiding phrase is "what every theoretical computer scientist should know about linear programming". A major focus is on applications of linear programming, both in practice and in theory. The book is concise, but at the same time, the main results are covered with complete proofs and in sufficient detail, ready for presentation in class. The book does not require more prerequisites than basic linear algebra, which is summarized in an appendix. One of its main goals is to help the reader to see linear programming "behind the scenes".
This collection of articles aspires to be a permanent record of ideas which are likely to become important determinants in the future of management sciences. These papers were initially presented at the first session on Multiple Criteria Decision Making QMCDM) organized under the auspices of The Institute of Management Sciences (TIMS). All works were prepared by leading spokesmen for three generations of OR/MS change agents. Special mention must be made of the dynamic role which Professor Martin K. Starr played in organizing the program of the TIMS XXII International Meeting. In May, 1973, Professor Starr, who was President of TIMS and Program Chairman of the Kyoto conference, requested me to chair the MCDM session. Throughout the long period of formative inter change, Dr. Starr demonstrated his full and continuing support of both the event and the MCDM field. On July 25, 1975, surrounded by the rocky gardens of the Kyoto International Conference Hall (KICH), located on the shore of Takaraga Ike, we engaged in a day-long discussion of MCDM. Our "talk together in Kyoto" was a professional experience of the highest intensity for participants, speakers and audience alike.