Luenberger D.J. Linear and Nonlinear Programming

Springer – 1997, 474 pages Linear programming and its generalization, mathematical programming, can be viewed as part of a great revolutionary development that has given mankind the ability to state general goals and lay out a path of detailed decisions to be taken in order to best achieve these goals when faced with practical situations of great complexity. The tools for accomplishing this are the models that formulate real-world problems in det...

Springer – 2003, 474 pages Linear Programming 2 continues where Linear Programming 1 left o?. We assume that the reader has an introductory knowledge of linear programming, for example has read Linear Programming 1: Introduction (or its equivalent) and has knowledge of linear algebra (reviewed in the appendices in Linear Programming 1). In this volume, we prove all theorems stated and those that were sketched but not proved in Linear Programming...

Publisher: Society for Industrial Mathematics | 2008 | ISBN10: 0898716438 | 280 pages MPS-SIAM Series on Optimization This textbook provides a self-contained introduction to linear programming using MATLAB® software to elucidate the development of algorithms and theory. Early chapters cover linear algebra basics, the simplex method, duality, the solving of large linear problems, sensitivity analysis, and parametric linear programming. In later ch...

Academic Press, 1995. - 449 Pages. Linear programming finds the least expensive way to meet given needs with available resources. Its results are used in every area of engineering and commerce: agriculture, oil refining, banking, and air transport. Authors Kolman and Beck present the basic notions of linear programming and illustrate how they are used to solve important common problems. The software on the included disk leads students step-by-st...

Springer-Verlag Berlin Heidelberg, 2007. 226 p. What Is It, and What For? A Linear Program. What Can Be Found in This Book. Linear Programming and Linear Algebra. Significance and History of Linear Programming. Examples. Optimized Diet: Wholesome and Cheap? Flow in a Network. ce Cream All Year Round. Fitting a Line. Separation of Points. Largest Disk in a Convex Polygon. Cutting Paper Rolls. nteger Programming and LP Relaxation. nteger Programmin...

Springer – 2006, 685 pages. ISBN: 0387303030. Numerical Optimization presents a comprehensive and up-to-date description of the most effective methods in continuous optimization. It responds to the growing interest in optimization in engineering, science, and business by focusing on the methods that are best suited to practical problems. For this new edition the book has been thoroughly updated throughout. There are new chapters on nonlinear int...

Springer, 2004. - 245 Pages. This undergraduate textbook introduces students of science and engineering to the fascinating field of optimization. It is a unique book that brings together the subfields of mathematical programming, variational calculus, and optimal control, thus giving students an overall view of all aspects of optimization in a single reference. As a primer on optimization, its main goal is to provide a succinct and accessible in...

John Wiley & Sons, 2009. 813 p. 4th ed. ISBN 978-0-470-18352-6. Contents. Preface. Introduction to Optimization. Classical Optimization Techniques. Linear Programming I: Simplex Method. Linear Programming II: Additional Topics and Extensions. Nonlinear Programming I: One-Dimensional Minimization Methods. Nonlinear Programming II: Unconstrained Optimization Techniques. Nonlinear Programming III: Constrained Optimization Techniques. Geometric P...

Wiley, 2008. - 480 pages. 3 edition An Introduction to Linear Programming and Game Theory, Third Edition presents a rigorous, yet accessible, introduction to the theoretical concepts and computational techniques of linear programming and game theory. Now with more extensive modeling exercises and detailed integer programming examples, this book uniquely illustrates how mathematics can be used in real-world applications in the social, life, and...

Publisher: Springer; 3rd ed. Edition | 2007 | ISBN10: 0387743871 | 464 pages Linear Programming: Foundations and Extensions is an introduction to the field of optimization. The book emphasizes constrained optimization, beginning with a substantial treatment of linear programming, and proceeding to convex analysis, network flows, integer programming, quadratic programming, and convex optimization. The book is carefully written. Specific examples...