Nonlinear Programming For Operations Research
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Nonlinear Programming For Operations Research
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Author : Donald M. Simmons
language : en
Publisher: Prentice Hall
Release Date : 1975
Nonlinear Programming For Operations Research written by Donald M. Simmons and has been published by Prentice Hall this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Mathematics categories.
Introduction to nonlinear programming; Review of linear programming; Further mathematical background; Classical uncostrained optimization; Optimum-seeking by experimentation; Lagrange multipliers and kuhn-tucker theory; Quadratic programming; Algorithms for linearly constrained problems; Algorithms for nonlinear constrained problems.
Nonlinear Programming
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Author : Mokhtar S. Bazaraa
language : en
Publisher: John Wiley & Sons
Release Date : 2006-05-05
Nonlinear Programming written by Mokhtar S. Bazaraa and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-05-05 with Mathematics categories.
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 programming is provided: Convex analysis with discussion of topological properties of convex sets, separation and support of convex sets, polyhedral sets, extreme points and extreme directions of polyhedral sets, and linear programming Optimality conditions and duality with coverage of the nature, interpretation, and value of the classical Fritz John (FJ) and the Karush-Kuhn-Tucker (KKT) optimality conditions; the interrelationships between various proposed constraint qualifications; and Lagrangian duality and saddle point optimality conditions Algorithms and their convergence, with a presentation of algorithms for solving both unconstrained and constrained nonlinear programming problems Important features of the Third Edition include: New topics such as second interior point methods, nonconvex optimization, nondifferentiable optimization, and more Updated discussion and new applications in each chapter Detailed numerical examples and graphical illustrations Essential coverage of modeling and formulating nonlinear programs Simple numerical problems Advanced theoretical exercises The book is a solid reference for professionals as well as a useful text for students in the fields of operations research, management science, industrial engineering, applied mathematics, and also in engineering disciplines that deal with analytical optimization techniques. The logical and self-contained format uniquely covers nonlinear programming techniques with a great depth of information and an abundance of valuable examples and illustrations that showcase the most current advances in nonlinear problems.
Operations Research
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Author : Michael W. Carter
language : en
Publisher: CRC Press
Release Date : 2017-12-19
Operations Research written by Michael W. Carter and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-19 with Technology & Engineering categories.
Students with diverse backgrounds will face a multitude of decisions in a variety of engineering, scientific, industrial, and financial settings. They will need to know how to identify problems that the methods of operations research (OR) can solve, how to structure the problems into standard mathematical models, and finally how to apply or develop computational tools to solve the problems. Perfect for any one-semester course in OR, Operations Research: A Practical Introduction answers all of these needs. In addition to providing a practical introduction and guide to using OR techniques, it includes a timely examination of innovative methods and practical issues related to the development and use of computer implementations. It provides a sound introduction to the mathematical models relevant to OR and illustrates the effective use of OR techniques with examples drawn from industrial, computing, engineering, and business applications. Many students will take only one course in the techniques of Operations Research. Operations Research: A Practical Introduction offers them the greatest benefit from that course through a broad survey of the techniques and tools available for quantitative decision making. It will also encourage other students to pursue more advanced studies and provides you a concise, well-structured, vehicle for delivering the best possible overview of the discipline.
Linear And Nonlinear Optimization
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Author : Richard W. Cottle
language : en
Publisher: Springer
Release Date : 2017-06-11
Linear And Nonlinear Optimization written by Richard W. Cottle and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-06-11 with Business & Economics categories.
This textbook on Linear and Nonlinear Optimization is intended for graduate and advanced undergraduate students in operations research and related fields. It is both literate and mathematically strong, yet requires no prior course in optimization. As suggested by its title, the book is divided into two parts covering in their individual chapters LP Models and Applications; Linear Equations and Inequalities; The Simplex Algorithm; Simplex Algorithm Continued; Duality and the Dual Simplex Algorithm; Postoptimality Analyses; Computational Considerations; Nonlinear (NLP) Models and Applications; Unconstrained Optimization; Descent Methods; Optimality Conditions; Problems with Linear Constraints; Problems with Nonlinear Constraints; Interior-Point Methods; and an Appendix covering Mathematical Concepts. Each chapter ends with a set of exercises. The book is based on lecture notes the authors have used in numerous optimization courses the authors have taught at Stanford University. It emphasizes modeling and numerical algorithms for optimization with continuous (not integer) variables. The discussion presents the underlying theory without always focusing on formal mathematical proofs (which can be found in cited references). Another feature of this book is its inclusion of cultural and historical matters, most often appearing among the footnotes. "This book is a real gem. The authors do a masterful job of rigorously presenting all of the relevant theory clearly and concisely while managing to avoid unnecessary tedious mathematical details. This is an ideal book for teaching a one or two semester masters-level course in optimization – it broadly covers linear and nonlinear programming effectively balancing modeling, algorithmic theory, computation, implementation, illuminating historical facts, and numerous interesting examples and exercises. Due to the clarity of the exposition, this book also serves as a valuable reference for self-study." Professor Ilan Adler, IEOR Department, UC Berkeley "A carefully crafted introduction to the main elements and applications of mathematical optimization. This volume presents the essential concepts of linear and nonlinear programming in an accessible format filled with anecdotes, examples, and exercises that bring the topic to life. The authors plumb their decades of experience in optimization to provide an enriching layer of historical context. Suitable for advanced undergraduates and masters students in management science, operations research, and related fields." Michael P. Friedlander, IBM Professor of Computer Science, Professor of Mathematics, University of British Columbia
Linear And Nonlinear Programming
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Author : David G. Luenberger
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-07-07
Linear And Nonlinear Programming written by David G. Luenberger and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-07-07 with Business & Economics categories.
This third edition of the classic textbook in Optimization has been fully revised and updated. It comprehensively covers modern theoretical insights in this crucial computing area, and will be required reading for analysts and operations researchers in a variety of fields. The book connects the purely analytical character of an optimization problem, and the behavior of algorithms used to solve it. Now, the third edition has been completely updated with recent Optimization Methods. The book also has a new co-author, Yinyu Ye of California’s Stanford University, who has written lots of extra material including some on Interior Point Methods.
Management Science Operations Research A View From Nonlinear Programming
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Author : University of Toronto. School of Business
language : en
Publisher:
Release Date : 1972
Management Science Operations Research A View From Nonlinear Programming written by University of Toronto. School of Business and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with categories.
Optimization Theory And Methods
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Author : Wenyu Sun
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-08-06
Optimization Theory And Methods written by Wenyu Sun and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-08-06 with Mathematics categories.
Optimization Theory and Methods can be used as a textbook for an optimization course for graduates and senior undergraduates. It is the result of the author's teaching and research over the past decade. It describes optimization theory and several powerful methods. For most methods, the book discusses an idea’s motivation, studies the derivation, establishes the global and local convergence, describes algorithmic steps, and discusses the numerical performance.
Operations Research Optimization With Matlab Linear And Nonlinear Programming
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Author : Perez C.
language : en
Publisher:
Release Date : 2017-08-16
Operations Research Optimization With Matlab Linear And Nonlinear Programming written by Perez C. and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-08-16 with categories.
In mathematics, computer science and operations research, mathematical optimization, also spelled mathematical optimisation (alternatively named mathematical programming or simply optimization or optimisation), is the selection of a best element (with regard to some criterion) from some set of available alternatives.In the simplest case, an optimization problem consists of maximizing or minimizing a real function by systematically choosing input values from within an allowed set and computing the value of the function. The generalization of optimization theory and techniques to other formulations comprises a large area of applied mathematics. More generally, optimization includes finding "best available" values of some objective function given a defined domain (or input), including a variety of different types of objective functions and different types of domains.MATLAB Optimization Toolbox provides functions for finding parameters that minimize or maximize objectives while satisfying constraints. The toolbox includes solvers for linear programming, mixed-integer linear programming, quadratic programming, nonlinear optimization, and nonlinear least squares. You can use these solvers to find optimal solutions to continuous and discrete problems, perform tradeoff analyses, and incorporate optimization methods into algorithms and applications.This book develops the following topics:* "Linear Programming" * "Nonlinear Programming" * "Constrained Linear and Nonlinear Problem" * "Optimization Toolbox Solvers" * "Optimization Decision Table" * "fmincon Algorithms" * "fsolve Algorithms"* "fminunc Algorithms"* "Least Squares Algorithms"* "Linear Programming Algorithms"* "Quadratic Programming Algorithms"* "Large-Scale vs. Medium-Scale Algorithms"* "Potential Inaccuracy with Interior-Point Algorithms"* "Edit Optimization Parameters" * "Complex Numbers in Optimization Toolbox Solvers" * "Scalar Objective Functions" * "Vector and Matrix Objective Functions" * "Objective Functions for Linear or Quadratic Problems" * "Maximizing an Objective"* "Bound Constraints" * "Linear an Nonlinlear Constraints"* "optimoptions and optimset" * "Tolerances and Stopping Criteria"* "Checking Validity of Gradients or Jacobians"* "Iterations and Function Counts" * "First-Order Optimality Measure" * "Lagrange Multiplier Structures" * "Plot an Optimization During Execution" * "Local vs. Global Optima" * "Optimizing a Simulation or Ordinary Differential Equation"* "Optimization App" * "Nonlinear algorithms and examples"* "Unconstrained Nonlinear Optimization Algorithms" * "fminsearch Algorithm"* "fminunc Unconstrained Minimization"* "Minimization with Gradient and Hessian" * "Minimization with Gradient and Hessian Sparsity Pattern" * "Constrained Nonlinear Optimization Algorithms" * "Nonlinear Inequality Constraints" * "Nonlinear Constraints with Gradients" * "fmincon Interior-Point Algorithm with Analytic Hessian"* "Linear or Quadratic Objective with Quadratic Constraints" * "Nonlinear Equality and Inequality Constraints"* "Optimization App with the fmincon Solver" * "Minimization with Bound Constraints and Banded Preconditioner"* "Minimization with Linear Equality Constraints"* "Minimization with Dense Structured Hessian, Linear Equalities"* "One-Dimensional Semi-Infinite Constraints" * "Two-Dimensional Semi-Infinite Constraint"
Operations Research
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Author : NITA H. SHAH
language : en
Publisher: PHI Learning Pvt. Ltd.
Release Date : 2007-01-21
Operations Research written by NITA H. SHAH and has been published by PHI Learning Pvt. Ltd. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-21 with Technology & Engineering categories.
This comprehensive book deals with the theoretical aspects of operations research, and explains the concepts with practical examples. It begins by focusing on the need and prerequisites of operations research and moves on to discuss topics such as linear programming, integer programming, nonlinear programming, assignment problems, and inventory models in sufficient detail. Besides, this text also explains how to achieve different goals in the order of priority to optimize the objective function, various criteria of decision making under certainty, uncertainty and risk, and different techniques of analyzing the time involved in completing the project and the related cost. KEY FEATURES : Gives well-defined algorithms to illustrate the different techniques of operations research. Inventory problems are discussed with calculus. Provides worked-out examples in each chapter to illustrate the concepts discussed. This text is intended for the undergraduate and postgraduate students of Mathematics, Statistics, Engineering, and postgraduate students of Computer Applications and Business Administration. In addition, practising executives, consultants and managers will also find the book very useful.
A Kwic Index In Operations Research
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Author : International Business Machines Corporation
language : en
Publisher:
Release Date : 1967
A Kwic Index In Operations Research written by International Business Machines Corporation and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Operations research categories.