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Author: Frederick H. Walters Publisher: CRC Press ISBN: Category : Business & Economics Languages : en Pages : 364
Book Description
The only book on the market devoted to sequential simplex optimization This book presents an easy-to-learn, effective optimization technique that can be applied immediately to many problems in the real world. The sequential simplex is an evolutionary operation (EVOP) technique that uses experimental results-it does not require a mathematical model. The authors present their subject with a level of detail and clarity that is refreshingly welcome in a technical text. The basics are presented first, followed by a detailed discussion of the fine points needed to get the most out of this optimization technique. Worksheets are provided and their use is illustrated with step-by-step worked examples. This makes the logic and calculations of the simplex algorithms easy to understand and follow. The text also provides more than 200 figures and over 500 references to sequential simplex applications, which allows rapid access to specific examples of the use of the technique in a wide range of applications. Sequential Simplex Optimization: A Technique for Improving Quality and Productivity in Research, Development, and Manufacturing is essential for any student or professional who desires to learn this innovative technique quickly and easily.
Author: Frederick H. Walters Publisher: CRC Press ISBN: Category : Business & Economics Languages : en Pages : 364
Book Description
The only book on the market devoted to sequential simplex optimization This book presents an easy-to-learn, effective optimization technique that can be applied immediately to many problems in the real world. The sequential simplex is an evolutionary operation (EVOP) technique that uses experimental results-it does not require a mathematical model. The authors present their subject with a level of detail and clarity that is refreshingly welcome in a technical text. The basics are presented first, followed by a detailed discussion of the fine points needed to get the most out of this optimization technique. Worksheets are provided and their use is illustrated with step-by-step worked examples. This makes the logic and calculations of the simplex algorithms easy to understand and follow. The text also provides more than 200 figures and over 500 references to sequential simplex applications, which allows rapid access to specific examples of the use of the technique in a wide range of applications. Sequential Simplex Optimization: A Technique for Improving Quality and Productivity in Research, Development, and Manufacturing is essential for any student or professional who desires to learn this innovative technique quickly and easily.
Author: Glenn Hurlbert Publisher: Springer Science & Business Media ISBN: 0387791485 Category : Mathematics Languages : en Pages : 279
Book Description
The Subject A little explanation is in order for our choice of the title Linear Opti- 1 mization (and corresponding terminology) for what has traditionally been called Linear Programming.Theword programming in this context can be confusing and/or misleading to students. Linear programming problems are referred to as optimization problems but the general term linear p- gramming remains. This can cause people unfamiliar with the subject to think that it is about programming in the sense of writing computer code. It isn’t. This workbook is about the beautiful mathematics underlying the ideas of optimizing linear functions subject to linear constraints and the algorithms to solve such problems. In particular, much of what we d- cuss is the mathematics of Simplex Algorithm for solving such problems, developed by George Dantzig in the late 1940s. The word program in linear programming is a historical artifact. When Dantzig ?rstdevelopedthe Simplex Algorithm to solvewhat arenowcalled linear programming problems, his initial model was a class of resource - location problems to be solved for the U.S. Air Force. The decisions about theallocationswerecalled‘Programs’bytheAirForce,andhencetheterm.
Author: István Maros Publisher: Springer Science & Business Media ISBN: 1461502578 Category : Mathematics Languages : en Pages : 335
Book Description
Computational Techniques of the Simplex Method is a systematic treatment focused on the computational issues of the simplex method. It provides a comprehensive coverage of the most important and successful algorithmic and implementation techniques of the simplex method. It is a unique source of essential, never discussed details of algorithmic elements and their implementation. On the basis of the book the reader will be able to create a highly advanced implementation of the simplex method which, in turn, can be used directly or as a building block in other solution algorithms.
Author: Jorge Nocedal Publisher: Springer Science & Business Media ISBN: 0387400656 Category : Mathematics Languages : en Pages : 686
Book Description
Optimization is an important tool used in decision science and for the analysis of physical systems used in engineering. One can trace its roots to the Calculus of Variations and the work of Euler and Lagrange. This natural and reasonable approach to mathematical programming covers numerical methods for finite-dimensional optimization problems. It begins with very simple ideas progressing through more complicated concepts, concentrating on methods for both unconstrained and constrained optimization.
Author: S. Gomez Publisher: Springer Science & Business Media ISBN: 9401583307 Category : Mathematics Languages : en Pages : 285
Book Description
In January 1992, the Sixth Workshop on Optimization and Numerical Analysis was held in the heart of the Mixteco-Zapoteca region, in the city of Oaxaca, Mexico, a beautiful and culturally rich site in ancient, colonial and modern Mexican civiliza tion. The Workshop was organized by the Numerical Analysis Department at the Institute of Research in Applied Mathematics of the National University of Mexico in collaboration with the Mathematical Sciences Department at Rice University, as were the previous ones in 1978, 1979, 1981, 1984 and 1989. As were the third, fourth, and fifth workshops, this one was supported by a grant from the Mexican National Council for Science and Technology, and the US National Science Foundation, as part of the joint Scientific and Technical Cooperation Program existing between these two countries. The participation of many of the leading figures in the field resulted in a good representation of the state of the art in Continuous Optimization, and in an over view of several topics including Numerical Methods for Diffusion-Advection PDE problems as well as some Numerical Linear Algebraic Methods to solve related pro blems. This book collects some of the papers given at this Workshop.
Author: Dimitri P. Bertsekas Publisher: MIT Press ISBN: 9780262023344 Category : Business & Economics Languages : en Pages : 384
Book Description
Linear Network Optimization presents a thorough treatment of classical approaches to network problems such as shortest path, max-flow, assignment, transportation, and minimum cost flow problems.
Author: Anthony V. Fiacco Publisher: SIAM ISBN: 9781611971316 Category : Mathematics Languages : en Pages : 226
Book Description
Recent interest in interior point methods generated by Karmarkar's Projective Scaling Algorithm has created a new demand for this book because the methods that have followed from Karmarkar's bear a close resemblance to those described. There is no other source for the theoretical background of the logarithmic barrier function and other classical penalty functions. Analyzes in detail the "central" or "dual" trajectory used by modern path following and primal/dual methods for convex and general linear programming. As researchers begin to extend these methods to convex and general nonlinear programming problems, this book will become indispensable to them.
Author: Christodoulos A. Floudas Publisher: Springer Science & Business Media ISBN: 0387747583 Category : Mathematics Languages : en Pages : 4646
Book Description
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: Johannes Schneider Publisher: Springer Science & Business Media ISBN: 3540345604 Category : Computers Languages : en Pages : 551
Book Description
This book addresses stochastic optimization procedures in a broad manner. The first part offers an overview of relevant optimization philosophies; the second deals with benchmark problems in depth, by applying a selection of optimization procedures. Written primarily with scientists and students from the physical and engineering sciences in mind, this book addresses a larger community of all who wish to learn about stochastic optimization techniques and how to use them.
Author: Frederick H. Walters
Author: Frederick H. Walters
Author: Jerry Gay Cleveland
Author: Glenn Hurlbert
Author: István Maros
Author: Jorge Nocedal
Author: S. Gomez
Author: Dimitri P. Bertsekas
Author: Anthony V. Fiacco
Author: Christodoulos A. Floudas
Author: Johannes Schneider