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Nondifferentiable and Two-Level Mathematical Programming

Nondifferentiable and Two-Level Mathematical Programming
Author: Kiyotaka Shimizu
Publisher: Springer Science & Business Media
Total Pages: 482
Release: 2012-12-06
Genre: Business & Economics
ISBN: 1461563054

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The analysis and design of engineering and industrial systems has come to rely heavily on the use of optimization techniques. The theory developed over the last 40 years, coupled with an increasing number of powerful computational procedures, has made it possible to routinely solve problems arising in such diverse fields as aircraft design, material flow, curve fitting, capital expansion, and oil refining just to name a few. Mathematical programming plays a central role in each of these areas and can be considered the primary tool for systems optimization. Limits have been placed on the types of problems that can be solved, though, by the difficulty of handling functions that are not everywhere differentiable. To deal with real applications, it is often necessary to be able to optimize functions that while continuous are not differentiable in the classical sense. As the title of the book indicates, our chief concern is with (i) nondifferentiable mathematical programs, and (ii) two-level optimization problems. In the first half of the book, we study basic theory for general smooth and nonsmooth functions of many variables. After providing some background, we extend traditional (differentiable) nonlinear programming to the nondifferentiable case. The term used for the resultant problem is nondifferentiable mathematical programming. The major focus is on the derivation of optimality conditions for general nondifferentiable nonlinear programs. We introduce the concept of the generalized gradient and derive Kuhn-Tucker-type optimality conditions for the corresponding formulations.


Mathematical Programming with Data Perturbations

Mathematical Programming with Data Perturbations
Author: Anthony V. Fiacco
Publisher: CRC Press
Total Pages: 460
Release: 1997-09-19
Genre: Mathematics
ISBN: 9780824700591

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Presents research contributions and tutorial expositions on current methodologies for sensitivity, stability and approximation analyses of mathematical programming and related problem structures involving parameters. The text features up-to-date findings on important topics, covering such areas as the effect of perturbations on the performance of algorithms, approximation techniques for optimal control problems, and global error bounds for convex inequalities.


Business Optimization Using Mathematical Programming

Business Optimization Using Mathematical Programming
Author: Josef Kallrath
Publisher: Springer Nature
Total Pages: 653
Release: 2021-08-31
Genre: Business & Economics
ISBN: 3030732371

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This book presents a structured approach to formulate, model, and solve mathematical optimization problems for a wide range of real world situations. Among the problems covered are production, distribution and supply chain planning, scheduling, vehicle routing, as well as cutting stock, packing, and nesting. The optimization techniques used to solve the problems are primarily linear, mixed-integer linear, nonlinear, and mixed integer nonlinear programming. The book also covers important considerations for solving real-world optimization problems, such as dealing with valid inequalities and symmetry during the modeling phase, but also data interfacing and visualization of results in a more and more digitized world. The broad range of ideas and approaches presented helps the reader to learn how to model a variety of problems from process industry, paper and metals industry, the energy sector, and logistics using mathematical optimization techniques.


Introduction to Probability Models

Introduction to Probability Models
Author: Wayne L. Winston
Publisher: Duxbury Resource Center
Total Pages: 762
Release: 2003
Genre: Business & Economics
ISBN:

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Vol. 2: CD-ROM contains student editions of: ProcessModel, LINGO, Premium Solver, DecisionTools Suite including @RISK AND RISKOptimizer, Data files.


Introduction to Mathematical Programming

Introduction to Mathematical Programming
Author: Russell C. Walker
Publisher: Pearson Learning Solutions
Total Pages: 0
Release: 2013
Genre: Programming (Mathematics)
ISBN: 9781256944683

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Math for Programmers

Math for Programmers
Author: Paul Orland
Publisher: Manning Publications
Total Pages: 686
Release: 2021-01-12
Genre: Computers
ISBN: 1617295353

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In Math for Programmers you’ll explore important mathematical concepts through hands-on coding. Filled with graphics and more than 300 exercises and mini-projects, this book unlocks the door to interesting–and lucrative!–careers in some of today’s hottest fields. As you tackle the basics of linear algebra, calculus, and machine learning, you’ll master the key Python libraries used to turn them into real-world software applications. Summary To score a job in data science, machine learning, computer graphics, and cryptography, you need to bring strong math skills to the party. Math for Programmers teaches the math you need for these hot careers, concentrating on what you need to know as a developer. Filled with lots of helpful graphics and more than 200 exercises and mini-projects, this book unlocks the door to interesting–and lucrative!–careers in some of today’s hottest programming fields. Purchase of the print book includes a free eBook in PDF, Kindle, and ePub formats from Manning Publications. About the technology Skip the mathematical jargon: This one-of-a-kind book uses Python to teach the math you need to build games, simulations, 3D graphics, and machine learning algorithms. Discover how algebra and calculus come alive when you see them in code! About the book In Math for Programmers you’ll explore important mathematical concepts through hands-on coding. Filled with graphics and more than 300 exercises and mini-projects, this book unlocks the door to interesting–and lucrative!–careers in some of today’s hottest fields. As you tackle the basics of linear algebra, calculus, and machine learning, you’ll master the key Python libraries used to turn them into real-world software applications. What's inside Vector geometry for computer graphics Matrices and linear transformations Core concepts from calculus Simulation and optimization Image and audio processing Machine learning algorithms for regression and classification About the reader For programmers with basic skills in algebra. About the author Paul Orland is a programmer, software entrepreneur, and math enthusiast. He is co-founder of Tachyus, a start-up building predictive analytics software for the energy industry. You can find him online at www.paulor.land. Table of Contents 1 Learning math with code PART I - VECTORS AND GRAPHICS 2 Drawing with 2D vectors 3 Ascending to the 3D world 4 Transforming vectors and graphics 5 Computing transformations with matrices 6 Generalizing to higher dimensions 7 Solving systems of linear equations PART 2 - CALCULUS AND PHYSICAL SIMULATION 8 Understanding rates of change 9 Simulating moving objects 10 Working with symbolic expressions 11 Simulating force fields 12 Optimizing a physical system 13 Analyzing sound waves with a Fourier series PART 3 - MACHINE LEARNING APPLICATIONS 14 Fitting functions to data 15 Classifying data with logistic regression 16 Training neural networks


Mathematical Programming in Statistics

Mathematical Programming in Statistics
Author: T. S. Arthanari
Publisher:
Total Pages: 440
Release: 1981
Genre: Mathematics
ISBN:

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Linear regression analysis; Generalized inverses in linear statistical models; Theory of testing statistical hypotheses; Sampling; Design and analysis of experiment; Cluster analysis.


Mathematical Programming in Use

Mathematical Programming in Use
Author: Michel Louis Balinski
Publisher:
Total Pages: 0
Release: 1978
Genre:
ISBN: 9780720483000

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AMPL

AMPL
Author: Robert Fourer
Publisher:
Total Pages: 351
Release: 1993
Genre: AMPL (Computer program language).
ISBN: 9780894262340

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Mathematical Programming Study

Mathematical Programming Study
Author: Karla L. Hoffman
Publisher:
Total Pages: 212
Release: 1987
Genre: Mathematical optimization
ISBN:

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