Algorithmic Principles Of Mathematical Programming

Author : Ulrich Faigle,W. Kern,G. Still
Publisher : Springer Science & Business Media
Page : 343 pages
File Size : 52,6 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9789401598965

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Algorithmic Principles of Mathematical Programming by Ulrich Faigle,W. Kern,G. Still Pdf

Algorithmic Principles of Mathematical Programming investigates the mathematical structures and principles underlying the design of efficient algorithms for optimization problems. Recent advances in algorithmic theory have shown that the traditionally separate areas of discrete optimization, linear programming, and nonlinear optimization are closely linked. This book offers a comprehensive introduction to the whole subject and leads the reader to the frontiers of current research. The prerequisites to use the book are very elementary. All the tools from numerical linear algebra and calculus are fully reviewed and developed. Rather than attempting to be encyclopedic, the book illustrates the important basic techniques with typical problems. The focus is on efficient algorithms with respect to practical usefulness. Algorithmic complexity theory is presented with the goal of helping the reader understand the concepts without having to become a theoretical specialist. Further theory is outlined and supplemented with pointers to the relevant literature.

Author : Ulrich Faigle,W. Kern,G. Still
Publisher : Unknown
Page : 352 pages
File Size : 44,6 Mb
Release : 2014-01-15
Category : Electronic
ISBN : 9401598975

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Algorithmic Principles of Mathematical Programming by Ulrich Faigle,W. Kern,G. Still Pdf

Author : Stepan Karamardian
Publisher : Academic Press
Page : 505 pages
File Size : 50,9 Mb
Release : 2014-05-10
Category : Mathematics
ISBN : 9781483261133

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Fixed Points by Stepan Karamardian Pdf

Fixed Points: Algorithms and Applications covers the proceedings of the First International Conference on Computing Fixed Points with Applications, held in the Department of Mathematical Sciences at Clemson University, Clemson, South Carolina on June 26-28, 1974. This book is composed of 21 chapters and starts with reviews of finding roots of polynomials by pivoting procedures and the relations between convergence and labeling in approximation algorithm. The next chapters deal with the principles of complementary pivot theory and the Markovian decision chains; the method of continuation for Brouwer fixed point calculation; a fixed point approach to stability in cooperative games; and computation of fixed points in a nonconvex region. Other chapters discuss a computational comparison of fixed point algorithms, the fundamentals of union jack triangulations, and some aspects of Mann’s iterative method for approximating fixed points. The final chapters consider the application of fixed point algorithms to the analysis of tax policies and the pricing for congestion in telephone networks. This book will prove useful to mathematicians, computer scientists, and advance mathematics students.

Author : Stein W. Wallace
Publisher : Springer Science & Business Media
Page : 199 pages
File Size : 40,8 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9783642837241

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Algorithms and Model Formulations in Mathematical Programming by Stein W. Wallace Pdf

The NATO Advanced Research Workshop (ARW) "Algorithms and Model Formulations in Mathematical Programming" was held at Chr. Michelsen Institute in Bergen, Norway, from June 15 to June 19, 1987. The ARW was organized on behalf of the Committee on Algorithms (COAL) of the Mathematical Programming Society (MPS). Co-directors were Jan Telgen (Van Dien+Co Organisatie, Utrecht, The Netherlands) and Roger J-B Wets (The University of California at Davis, USA). 43 participants from 11 countries attended the ARW. The workshop was organized such that each day started with a - minute keynote presentation, followed by a 45-minute plenary discussion. The first part of this book contains the contributions of the five keynote speakers. The plenary discussions were taped, and the transcripts given to the keynote speakers. They have treated the transcripts differently, some by working the discussions into their papers, others by adding a section which sums up the discussions. The plenary discussions were very interesting and stimulating due to active participation of the audience. The five keynote speakers were asked to view the topic of the workshop, the interaction between algorithms and model formulations, from different perspectives. On the first day of the workshop Professor Alexander H.G. Rinnooy Kan (Erasmus University, Rotterdam, The Netherlands) put the theme into a larger context by his talk "Mathematical programming as an intellectual activity". This is an article of importance to any mathematical programmer who is interested in his field's history and present state.

Author : Aaart R. Heesterman
Publisher : Springer
Page : 816 pages
File Size : 48,8 Mb
Release : 1983
Category : Business & Economics
ISBN : UOM:39015015631347

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Matrices and Simplex Algorithms by Aaart R. Heesterman Pdf

This book provides an introduction to the theory and application of a range of mathematical programming algorithms, a nd to the prerequisite fields of linear algebra and the graphical presentation of a number of rational functions. The algorithms offered cover matrix inversion, linear programming, quadratic programming with linear side-conditions, quadratic programming with quadratic side-conditions, and integer programming. The resolution of mixed systems of equations and inequalities; systems with sign-constrained and free variables; and the accommodation of upper and lower limbs in specified variables without explicitly written restrictions are discussed, for linear programming, as well as for quadratic programming with linear side-conditions. Of the algorithms provided, the sequentially constrained maximization method for solving the general quantitive programming problem is, in part, novel. The other algorithms are, in outline, established methods. There is however, a more direct approach to the problem of the infeasible starting solution and, as a result, a less rigid separation between the traditional I and II than is usual.

Author : Jeremy F. Shapiro
Publisher : Unknown
Page : 388 pages
File Size : 49,8 Mb
Release : 1979
Category : Programming (Mathematics)
ISBN : OCLC:22149318

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Mathematical Programming by Jeremy F. Shapiro Pdf

Author : Santosh Kumar
Publisher : CRC Press
Page : 480 pages
File Size : 40,7 Mb
Release : 1991-07-18
Category : Mathematics
ISBN : 2881248004

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Recent Developments in Mathematical Programming by Santosh Kumar Pdf

This work is concerned with theoretical developments in the area of mathematical programming, development of new algorithms and software and their applications in science and industry. It aims to expose recent mathematical developments to a larger audience in science and industry.

Author : Jan A Snyman,Daniel N Wilke
Publisher : Springer
Page : 372 pages
File Size : 47,6 Mb
Release : 2018-05-02
Category : Mathematics
ISBN : 9783319775869

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Practical Mathematical Optimization by Jan A Snyman,Daniel N Wilke Pdf

This book presents basic optimization principles and gradient-based algorithms to a general audience, in a brief and easy-to-read form. It enables professionals to apply optimization theory to engineering, physics, chemistry, or business economics.

Author : Michel Bierlaire
Publisher : Unknown
Page : 718 pages
File Size : 54,6 Mb
Release : 2018
Category : Electronic
ISBN : 2889152790

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Optimization by Michel Bierlaire Pdf

Author : Bernd Gärtner,Jiri Matousek
Publisher : Springer Science & Business Media
Page : 253 pages
File Size : 48,9 Mb
Release : 2012-01-10
Category : Mathematics
ISBN : 9783642220159

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Approximation Algorithms and Semidefinite Programming by Bernd Gärtner,Jiri Matousek Pdf

Semidefinite programs constitute one of the largest classes of optimization problems that can be solved with reasonable efficiency - both in theory and practice. They play a key role in a variety of research areas, such as combinatorial optimization, approximation algorithms, computational complexity, graph theory, geometry, real algebraic geometry and quantum computing. This book is an introduction to selected aspects of semidefinite programming and its use in approximation algorithms. It covers the basics but also a significant amount of recent and more advanced material. There are many computational problems, such as MAXCUT, for which one cannot reasonably expect to obtain an exact solution efficiently, and in such case, one has to settle for approximate solutions. For MAXCUT and its relatives, exciting recent results suggest that semidefinite programming is probably the ultimate tool. Indeed, assuming the Unique Games Conjecture, a plausible but as yet unproven hypothesis, it was shown that for these problems, known algorithms based on semidefinite programming deliver the best possible approximation ratios among all polynomial-time algorithms. This book follows the “semidefinite side” of these developments, presenting some of the main ideas behind approximation algorithms based on semidefinite programming. It develops the basic theory of semidefinite programming, presents one of the known efficient algorithms in detail, and describes the principles of some others. It also includes applications, focusing on approximation algorithms.

Author : Jan Snyman
Publisher : Springer Science & Business Media
Page : 284 pages
File Size : 48,6 Mb
Release : 2005-11-29
Category : Mathematics
ISBN : 038729824X

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Practical Mathematical Optimization by Jan Snyman Pdf

This book presents basic optimization principles and gradient-based algorithms to a general audience, in a brief and easy-to-read form. It enables professionals to apply optimization theory to engineering, physics, chemistry, or business economics.

Author : Laurence A. Wolsey
Publisher : John Wiley & Sons
Page : 286 pages
File Size : 42,6 Mb
Release : 1998-09-23
Category : Mathematics
ISBN : 9780471283669

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Integer Programming by Laurence A. Wolsey Pdf

A practical, accessible guide to optimization problems with discrete or integer variables Integer Programming stands out from other textbooks by explaining in clear and simple terms how to construct custom-made algorithms or use existing commercial software to obtain optimal or near-optimal solutions for a variety of real-world problems, such as airline timetables, production line schedules, or electricity production on a regional or national scale. Incorporating recent developments that have made it possible to solve difficult optimization problems with greater accuracy, author Laurence A. Wolsey presents a number of state-of-the-art topics not covered in any other textbook. These include improved modeling, cutting plane theory and algorithms, heuristic methods, and branch-and-cut and integer programming decomposition algorithms. This self-contained text: Distinguishes between good and bad formulations in integer programming problems Applies lessons learned from easy integer programs to more difficult problems Demonstrates with applications theoretical and practical aspects of problem solving Includes useful notes and end-of-chapter exercises Offers tremendous flexibility for tailoring material to different needs Integer Programming is an ideal text for courses in integer/mathematical programming-whether in operations research, mathematics, engineering, or computer science departments. It is also a valuable reference for industrial users of integer programming and researchers who would like to keep up with advances in the field.

Author : Roland Backhouse
Publisher : John Wiley & Sons
Page : 434 pages
File Size : 50,8 Mb
Release : 2011-10-24
Category : Computers
ISBN : 9780470684535

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Algorithmic Problem Solving by Roland Backhouse Pdf

An entertaining and captivating way to learn the fundamentals of using algorithms to solve problems The algorithmic approach to solving problems in computer technology is an essential tool. With this unique book, algorithm guru Roland Backhouse shares his four decades of experience to teach the fundamental principles of using algorithms to solve problems. Using fun and well-known puzzles to gradually introduce different aspects of algorithms in mathematics and computing. Backhouse presents you with a readable, entertaining, and energetic book that will motivate and challenge you to open your mind to the algorithmic nature of problem solving. Provides a novel approach to the mathematics of problem solving focusing on the algorithmic nature of problem solving Uses popular and entertaining puzzles to teach you different aspects of using algorithms to solve mathematical and computing challenges Features a theory section that supports each of the puzzles presented throughout the book Assumes only an elementary understanding of mathematics Let Roland Backhouse and his four decades of experience show you how you can solve challenging problems with algorithms!

Author : Giorgio Ausiello,Rossella Petreschi
Publisher : Springer Science & Business Media
Page : 262 pages
File Size : 40,9 Mb
Release : 2013-11-08
Category : Education
ISBN : 9783642396526

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The Power of Algorithms by Giorgio Ausiello,Rossella Petreschi Pdf

To examine, analyze, and manipulate a problem to the point of designing an algorithm for solving it is an exercise of fundamental value in many fields. With so many everyday activities governed by algorithmic principles, the power, precision, reliability and speed of execution demanded by users have transformed the design and construction of algorithms from a creative, artisanal activity into a full-fledged science in its own right. This book is aimed at all those who exploit the results of this new science, as designers and as consumers. The first chapter is an overview of the related history, demonstrating the long development of ideas such as recursion and more recent formalizations such as computability. The second chapter shows how the design of algorithms requires appropriate techniques and sophisticated organization of data. In the subsequent chapters the contributing authors present examples from diverse areas – such as routing and networking problems, Web search, information security, auctions and games, complexity and randomness, and the life sciences – that show how algorithmic thinking offers practical solutions and also deepens domain knowledge. The contributing authors are top-class researchers with considerable academic and industrial experience; they are also excellent educators and communicators and they draw on this experience with enthusiasm and humor. This book is an excellent introduction to an intriguing domain and it will be enjoyed by undergraduate and postgraduate students in computer science, engineering, and mathematics, and more broadly by all those engaged with algorithmic thinking.

Author : Giesela Engeln-Müllges,Frank Uhlig
Publisher : Springer Science & Business Media
Page : 610 pages
File Size : 54,5 Mb
Release : 2013-11-21
Category : Mathematics
ISBN : 9783642610745

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Numerical Algorithms with C by Giesela Engeln-Müllges,Frank Uhlig Pdf

More scientists now use C than any other programming language. This book contains practical, computer-ready algorithms for many standard methods of numerical mathematics. It describes the principles of the various methods and provides support in choosing the appropriate method for a given task. Topics given special emphasis include converging methods for solving nonlinear equations, methods for solving systems of linear equations for many special matrix structures, and the Shepard method for multidimensional interpolation. The CD contains C-programs for almost all the algorithms given in the book and a compiler, together with software for graphical printing.