Linear Programming And Generalizations

Author : Eric V. Denardo
Publisher : Springer Science & Business Media
Page : 673 pages
File Size : 55,7 Mb
Release : 2011-07-25
Category : Business & Economics
ISBN : 9781441964915

Get Book

Linear Programming and Generalizations by Eric V. Denardo Pdf

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 : Robert J Vanderbei
Publisher : Springer Science & Business Media
Page : 451 pages
File Size : 47,7 Mb
Release : 2013-06-29
Category : Business & Economics
ISBN : 9781475756623

Get Book

Linear Programming by Robert J Vanderbei Pdf

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
Page : 235 pages
File Size : 40,6 Mb
Release : 1993-12-01
Category : Mathematics
ISBN : 161197125X

Get Book

Nonlinear Programming by Olvi L. Mangasarian Pdf

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 : Christodoulos A. Floudas,Panos M. Pardalos
Publisher : Springer Science & Business Media
Page : 4646 pages
File Size : 41,5 Mb
Release : 2008-09-04
Category : Mathematics
ISBN : 9780387747583

Get Book

Encyclopedia of Optimization by Christodoulos A. Floudas,Panos M. Pardalos Pdf

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 : Ping-Qi PAN
Publisher : Unknown
Page : 0 pages
File Size : 44,6 Mb
Release : 2023
Category : Electronic
ISBN : 9811901481

Get Book

Linear Programming Computation by Ping-Qi PAN Pdf

Organized into two volumes. this book represents a real breakthrough in the field of linear programming (LP). The first volume addresses fundamentals, including geometry of feasible region, simplex method, implementation of simplex method, duality and dual simplex method, sensitivity analysis and parametric LP, generalized simplex method, decomposition method, interior-point method and integer LP method, as well as reflects the state of art by highlighting new results, such as efficient primal and dual pivot rules, primal and dual Phase-I methods. The second volume introduces contributions of the author himself, such as reduced and D-reduced-simplex methods, generalized reduced and dual reduced simplex methods, deficient-basis and dual deficient-basis-simplex methods, and face and dual face methods with Cholesky factorization, as well as with LU factorization. As a monograph, this book is a rare work in LP, containing many noval ideas and methods, supported by complete computational results. As revealed from the perspective of theory, the most recently achieved results, such as reduced and D-reduced simplex methods, as well as ILP solvers-- controlled-cut and controlled-branch methods, are very significant and promising, though there are no computational results available at this stage. With a focus on computation, the content of this book ranges from simple to profound, clear and fresh. In particular, all algorithms are accompanied by examples for demonstration whenever possible. As a milestone of LP, this book is an indispensable tool for undergraduate and graduate students, teachers, practitioners and researchers, in LP and related fields.

Author : Evar D. Nering,Albert W. Tucker
Publisher : Academic Press
Page : 618 pages
File Size : 46,8 Mb
Release : 1993
Category : Computers
ISBN : 0125154402

Get Book

Linear Programs and Related Problems by Evar D. Nering,Albert W. Tucker Pdf

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 : Oktay Günlük,Gerhard J. Woeginger
Publisher : Springer Science & Business Media
Page : 442 pages
File Size : 52,9 Mb
Release : 2011-05-10
Category : Computers
ISBN : 9783642208065

Get Book

Integer Programming and Combinatorial Optimization by Oktay Günlük,Gerhard J. Woeginger Pdf

This book constitutes the proceedings of the 15th International Conference on Integer Programming and Combinatorial Optimization, IPCO 2011, held in New York, USA in June 2011. The 33 papers presented were carefully reviewed and selected from 110 submissions. The conference is a forum for researchers and practitioners working on various aspects of integer programming and combinatorial optimization with the aim to present recent developments in theory, computation, and applications. The scope of IPCO is viewed in a broad sense, to include algorithmic and structural results in integer programming and combinatorial optimization as well as revealing computational studies and novel applications of discrete optimization to practical problems.

Author : Saul I. Gass
Publisher : Courier Corporation
Page : 545 pages
File Size : 49,8 Mb
Release : 2003-01-01
Category : Mathematics
ISBN : 9780486432847

Get Book

Linear Programming by Saul I. Gass Pdf

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 : Christian Keil
Publisher : BoD – Books on Demand
Page : 130 pages
File Size : 53,5 Mb
Release : 2009
Category : Lineare Optimierung
ISBN : 9783837093353

Get Book

Rigorous Error Bounds for Finite Dimensional Linear Programming Problems by Christian Keil Pdf

Author : Nina Amenta
Publisher : Unknown
Page : 236 pages
File Size : 54,6 Mb
Release : 1994
Category : Electronic
ISBN : UCAL:C2691580

Get Book

Helly Theorems and Generalized Linear Programming by Nina Amenta Pdf

Author : Miroslav Fiedler,Josef Nedoma,Jaroslav Ramik,Jiri Rohn,Karel Zimmermann
Publisher : Springer Science & Business Media
Page : 222 pages
File Size : 50,6 Mb
Release : 2006-07-18
Category : Mathematics
ISBN : 9780387326986

Get Book

Linear Optimization Problems with Inexact Data by Miroslav Fiedler,Josef Nedoma,Jaroslav Ramik,Jiri Rohn,Karel Zimmermann Pdf

Linear programming has attracted the interest of mathematicians since World War II when the first computers were constructed. Early attempts to apply linear programming methods practical problems failed, in part because of the inexactness of the data used to create the models. This book presents a comprehensive treatment of linear optimization with inexact data, summarizing existing results and presenting new ones within a unifying framework.

Author : Dan Gusfield
Publisher : Cambridge University Press
Page : 431 pages
File Size : 53,5 Mb
Release : 2019-06-13
Category : Computers
ISBN : 9781108421768

Get Book

Integer Linear Programming in Computational and Systems Biology by Dan Gusfield Pdf

This hands-on tutorial text for non-experts demonstrates biological applications of a versatile modeling and optimization technique.

Author : Branislav Rovan
Publisher : Springer
Page : 460 pages
File Size : 45,6 Mb
Release : 2003-06-29
Category : Computers
ISBN : 9783540494775

Get Book

SOFSEM '98: Theory and Practice of Informatics by Branislav Rovan Pdf

This book constitutes the proceedings of the 25th Seminar on Current Trends in Theory and Practice of Informatics, SOFSEM'98, held in Jasna, Slovakia, in November 1998. The volume presents 19 invited survey articles by internationally well-known authorities together with 18 revised full research papers carefully reviewed and selected for inclusion in the book. The areas covered include history of models of computation, algorithms, formal methods, practical aspects of software engineering, database systems, parallel and distributed systems, electronic commerce, and electronic documents and digital libraries.

Author : Gerard Sierksma
Publisher : CRC Press
Page : 664 pages
File Size : 50,8 Mb
Release : 2001-11-01
Category : Mathematics
ISBN : 0824706730

Get Book

Linear and Integer Programming by Gerard Sierksma Pdf

"Combines the theoretical and practical aspects of linear and integer programming. Provides practical case studies and techniques, including rounding-off, column-generation, game theory, multiobjective optimization, and goal programming, as well as real-world solutions to the transportation and transshipment problem, project scheduling, and decentralization."

Author : Bruce R. Feiring
Publisher : SAGE
Page : 100 pages
File Size : 45,7 Mb
Release : 1986-04
Category : Mathematics
ISBN : 0803928505

Get Book

Linear Programming by Bruce R. Feiring Pdf

Linear Programming is a well-written introduction to the techniques and applications of linear programming. It clearly shows readers how to model, solve, and interpret appropriate linear programming problems. Feiring has presented several carefully-chosen examples which provide a foundation for mathematical modelling and demonstrate the wide scope of the techniques. He subsequently develops an understanding of the Simplex Method and Sensitivity Analysis and includes a discussion of computer codes for linear programming. This book should encourage the spread of linear programming techniques throughout the social sciences and, since it has been developed from Feiring's own class notes, it is ideal for students, particularly those with a limited background in quantitative methods.