Linear Programming And Generalizations PDF Download
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Author | : Eric V. Denardo |
Publisher | : Springer Science & Business Media |
Total Pages | : 667 |
Release | : 2011-07-25 |
Genre | : Business & Economics |
ISBN | : 1441964916 |
Download Linear Programming and Generalizations Book in PDF, ePub and Kindle
This book on constrained optimization is novel in that it fuses these themes: • use examples to introduce general ideas; • engage the student in spreadsheet computation; • survey the uses of constrained optimization;. • investigate game theory and nonlinear optimization, • link the subject to economic reasoning, and • present the requisite mathematics. Blending these themes makes constrained optimization more accessible and more valuable. It stimulates the student’s interest, quickens the learning process, reveals connections to several academic and professional fields, and deepens the student’s grasp of the relevant mathematics. The book is designed for use in courses that focus on the applications of constrained optimization, in courses that emphasize the theory, and in courses that link the subject to economics.
Author | : Evar D. Nering |
Publisher | : Academic Press |
Total Pages | : 618 |
Release | : 1993 |
Genre | : Computers |
ISBN | : 9780125154406 |
Download Linear Programs and Related Problems Book in PDF, ePub and Kindle
This text is concerned primarily with the theory of linear and nonlinear programming, and a number of closely-related problems, and with algorithms appropriate to those problems. In the first part of the book, the authors introduce the concept of duality which serves as a unifying concept throughout the book. The simplex algorithm is presented along with modifications and adaptations to problems with special structures. Two alternative algorithms, the ellipsoidal algorithm and Karmarker's algorithm, are also discussed, along with numerical considerations. the second part of the book looks at specific types of problems and methods for their solution. This book is designed as a textbook for mathematical programming courses, and each chapter contains numerous exercises and examples.
Author | : Stephen P. Boyd |
Publisher | : Cambridge University Press |
Total Pages | : 744 |
Release | : 2004-03-08 |
Genre | : Business & Economics |
ISBN | : 9780521833783 |
Download Convex Optimization Book in PDF, ePub and Kindle
Convex optimization problems arise frequently in many different fields. This book provides a comprehensive introduction to the subject, and shows in detail how such problems can be solved numerically with great efficiency. The book begins with the basic elements of convex sets and functions, and then describes various classes of convex optimization problems. Duality and approximation techniques are then covered, as are statistical estimation techniques. Various geometrical problems are then presented, and there is detailed discussion of unconstrained and constrained minimization problems, and interior-point methods. The focus of the book is on recognizing convex optimization problems and then finding the most appropriate technique for solving them. It contains many worked examples and homework exercises and will appeal to students, researchers and practitioners in fields such as engineering, computer science, mathematics, statistics, finance and economics.
Author | : Robert J Vanderbei |
Publisher | : Springer Science & Business Media |
Total Pages | : 451 |
Release | : 2013-06-29 |
Genre | : Business & Economics |
ISBN | : 1475756623 |
Download Linear Programming Book in PDF, ePub and Kindle
This book provides an introduction to optimization. It details constrained optimization, beginning with a substantial treatment of linear programming and proceeding to convex analysis, network flows, integer programming, quadratic programming, and convex optimization. Coverage underscores the purpose of optimization: to solve practical problems on a computer. C programs that implement the major algorithms and JAVA tools are available online.
Author | : Olvi L. Mangasarian |
Publisher | : SIAM |
Total Pages | : 235 |
Release | : 1993-12-01 |
Genre | : Mathematics |
ISBN | : 9781611971255 |
Download Nonlinear Programming Book in PDF, ePub and Kindle
This reprint of the 1969 book of the same name is a concise, rigorous, yet accessible, account of the fundamentals of constrained optimization theory. Many problems arising in diverse fields such as machine learning, medicine, chemical engineering, structural design, and airline scheduling can be reduced to a constrained optimization problem. This book provides readers with the fundamentals needed to study and solve such problems. Beginning with a chapter on linear inequalities and theorems of the alternative, basics of convex sets and separation theorems are then derived based on these theorems. This is followed by a chapter on convex functions that includes theorems of the alternative for such functions. These results are used in obtaining the saddlepoint optimality conditions of nonlinear programming without differentiability assumptions. Properties of differentiable convex functions are derived and then used in two key chapters of the book, one on optimality conditions for differentiable nonlinear programs and one on duality in nonlinear programming. Generalizations of convex functions to pseudoconvex and quasiconvex functions are given and then used to obtain generalized optimality conditions and duality results in the presence of nonlinear equality constraints. The book has four useful self-contained appendices on vectors and matrices, topological properties of n-dimensional real space, continuity and minimization, and differentiable functions.
Author | : George B. Dantzig |
Publisher | : |
Total Pages | : 20 |
Release | : 1954 |
Genre | : |
ISBN | : |
Download Notes on Linear Programming, Part I: The Generalized Simplex Method for Minimizing a Linear Form Under Linear Inequality Restraints Book in PDF, ePub and Kindle
Author | : Christodoulos A. Floudas |
Publisher | : Springer Science & Business Media |
Total Pages | : 4646 |
Release | : 2008-09-04 |
Genre | : Mathematics |
ISBN | : 0387747583 |
Download Encyclopedia of Optimization Book in PDF, ePub and Kindle
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".
Author | : Saul I. Gass |
Publisher | : Courier Corporation |
Total Pages | : 545 |
Release | : 2003-01-01 |
Genre | : Mathematics |
ISBN | : 048643284X |
Download Linear Programming Book in PDF, ePub and Kindle
Comprehensive, well-organized volume, suitable for undergraduates, covers theoretical, computational, and applied areas in linear programming. Expanded, updated edition; useful both as a text and as a reference book. 1995 edition.
Author | : Hu Hui |
Publisher | : |
Total Pages | : 26 |
Release | : 1989 |
Genre | : Linear programming |
ISBN | : |
Download On the Feasibility of a Generalized Linear Program Book in PDF, ePub and Kindle
Abstract: "The first algorithm for solving generalized linear programs was given by George B. Dantzig. His algorithm assumes that a basic feasible solution of the generalized linear program to be solved exists and is given. If the initial basic feasible solution is non-degenerate, then his algorithm is guaranteed to converge. The purpose of this paper is to show how to find an initial basic feasible (possibly degenerate) solution of a generalized linear program by applying the same algorithm to a 'phase-one' problem without requiring that the initial basic feasible solution to the latter be non-degenerate."
Author | : Nina Amenta |
Publisher | : |
Total Pages | : 236 |
Release | : 1994 |
Genre | : |
ISBN | : |
Download Helly Theorems and Generalized Linear Programming Book in PDF, ePub and Kindle