Infinite Programming

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Infinite Programming

Author : Edward J. Anderson
Publisher : Springer Science & Business Media
ISBN 13 : 3642465641
Total Pages : 262 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Infinite Programming by : Edward J. Anderson

Download or read book Infinite Programming written by Edward J. Anderson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: Infinite programming may be defined as the study of mathematical programming problems in which the number of variables and the number of constraints are both possibly infinite. Many optimization problems in engineering, operations research, and economics have natural formul- ions as infinite programs. For example, the problem of Chebyshev approximation can be posed as a linear program with an infinite number of constraints. Formally, given continuous functions f,gl,g2, ••• ,gn on the interval [a,b], we can find the linear combination of the functions gl,g2, ... ,gn which is the best uniform approximation to f by choosing real numbers a,xl,x2, •.. ,x to n minimize a t€ [a,b]. This is an example of a semi-infinite program; the number of variables is finite and the number of constraints is infinite. An example of an infinite program in which the number of constraints and the number of variables are both infinite, is the well-known continuous linear program which can be formulated as follows. T minimize ~ c(t)Tx(t)dt t b(t) , subject to Bx(t) + fo Kx(s)ds x(t) .. 0, t € [0, T] • If x is regarded as a member of some infinite-dimensional vector space of functions, then this problem is a linear program posed over that space. Observe that if the constraint equations are differentiated, then this problem takes the form of a linear optimal control problem with state IV variable inequality constraints.

Semi-Infinite Programming

Author : Rembert Reemtsen
Publisher : Springer Science & Business Media
ISBN 13 : 9780792350545
Total Pages : 440 pages
Book Rating : 4.3/5 (55 download)

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Book Synopsis Semi-Infinite Programming by : Rembert Reemtsen

Download or read book Semi-Infinite Programming written by Rembert Reemtsen and published by Springer Science & Business Media. This book was released on 1998-04-30 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: Semi-infinite programming (briefly: SIP) is an exciting part of mathematical programming. SIP problems include finitely many variables and, in contrast to finite optimization problems, infinitely many inequality constraints. Prob lems of this type naturally arise in approximation theory, optimal control, and at numerous engineering applications where the model contains at least one inequality constraint for each value of a parameter and the parameter, repre senting time, space, frequency etc., varies in a given domain. The treatment of such problems requires particular theoretical and numerical techniques. The theory in SIP as well as the number of numerical SIP methods and appli cations have expanded very fast during the last years. Therefore, the main goal of this monograph is to provide a collection of tutorial and survey type articles which represent a substantial part of the contemporary body of knowledge in SIP. We are glad that leading researchers have contributed to this volume and that their articles are covering a wide range of important topics in this subject. It is our hope that both experienced students and scientists will be well advised to consult this volume. We got the idea for this volume when we were organizing the semi-infinite pro gramming workshop which was held in Cottbus, Germany, in September 1996.

Semi-Infinite Programming

Author : Miguel Ángel Goberna
Publisher : Springer Science & Business Media
ISBN 13 : 1475734034
Total Pages : 392 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Semi-Infinite Programming by : Miguel Ángel Goberna

Download or read book Semi-Infinite Programming written by Miguel Ángel Goberna and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Semi-infinite programming (SIP) deals with optimization problems in which either the number of decision variables or the number of constraints is finite. This book presents the state of the art in SIP in a suggestive way, bringing the powerful SIP tools close to the potential users in different scientific and technological fields. The volume is divided into four parts. Part I reviews the first decade of SIP (1962-1972). Part II analyses convex and generalised SIP, conic linear programming, and disjunctive programming. New numerical methods for linear, convex, and continuously differentiable SIP problems are proposed in Part III. Finally, Part IV provides an overview of the applications of SIP to probability, statistics, experimental design, robotics, optimization under uncertainty, production games, and separation problems. Audience: This book is an indispensable reference and source for advanced students and researchers in applied mathematics and engineering.

Semi-Infinite Programming and Applications

Author : A.V. Fiacco
Publisher : Springer Science & Business Media
ISBN 13 : 3642464777
Total Pages : 336 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Semi-Infinite Programming and Applications by : A.V. Fiacco

Download or read book Semi-Infinite Programming and Applications written by A.V. Fiacco and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Semi-infinite programming is a natural extension of linear pro gramming that allows finitely many variables to appear in infinitely many constraints. As the papers in this collection will reconfirm, the theoretical and practical manifestations and applications of this prob lem formulation are abundant and significant. This volume presents 20 carefully selected papers that were pre sented at the International Symposium on Semi-Infinite Programming and Applications, The University of Texas at Austin, September 8-10, 1981. A total of 70 papers were presented by distinguished participants from 15 countries. This was only the second international meeting on this topic, the first taking place in Bad Honnef,Federal Republic of Germany in 1978. A proceedings of that conference was organized and edited by Rainer Hettich of the University of Trier and published by Springer Verlag in 1979. The papers in this volume could have been published in any of several refereed journals. It is also probable that the authors of these papers would normally not have met at the same professional society meeting. Having these papers appear under one cover is thus something of a new phenomenon and provides an indication of both the unification and cross-fertilization opportunities that have emerged in this field. These papers were solicited only through the collective efforts of an International Program Committee organized according to the fol lowing research areas.

Semi-Infinite Programming

Author : Rembert Reemtsen
Publisher : Springer Science & Business Media
ISBN 13 : 1475728689
Total Pages : 418 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Semi-Infinite Programming by : Rembert Reemtsen

Download or read book Semi-Infinite Programming written by Rembert Reemtsen and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Semi-infinite programming (briefly: SIP) is an exciting part of mathematical programming. SIP problems include finitely many variables and, in contrast to finite optimization problems, infinitely many inequality constraints. Prob lems of this type naturally arise in approximation theory, optimal control, and at numerous engineering applications where the model contains at least one inequality constraint for each value of a parameter and the parameter, repre senting time, space, frequency etc., varies in a given domain. The treatment of such problems requires particular theoretical and numerical techniques. The theory in SIP as well as the number of numerical SIP methods and appli cations have expanded very fast during the last years. Therefore, the main goal of this monograph is to provide a collection of tutorial and survey type articles which represent a substantial part of the contemporary body of knowledge in SIP. We are glad that leading researchers have contributed to this volume and that their articles are covering a wide range of important topics in this subject. It is our hope that both experienced students and scientists will be well advised to consult this volume. We got the idea for this volume when we were organizing the semi-infinite pro gramming workshop which was held in Cottbus, Germany, in September 1996.

Bi-Level Strategies in Semi-Infinite Programming

Author : Oliver Stein
Publisher : Springer Science & Business Media
ISBN 13 : 1441991646
Total Pages : 219 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Bi-Level Strategies in Semi-Infinite Programming by : Oliver Stein

Download or read book Bi-Level Strategies in Semi-Infinite Programming written by Oliver Stein and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: Semi-infinite optimization is a vivid field of active research. Recently semi infinite optimization in a general form has attracted a lot of attention, not only because of its surprising structural aspects, but also due to the large number of applications which can be formulated as general semi-infinite programs. The aim of this book is to highlight structural aspects of general semi-infinite programming, to formulate optimality conditions which take this structure into account, and to give a conceptually new solution method. In fact, under certain assumptions general semi-infinite programs can be solved efficiently when their bi-Ievel structure is exploited appropriately. After a brief introduction with some historical background in Chapter 1 we be gin our presentation by a motivation for the appearance of standard and general semi-infinite optimization problems in applications. Chapter 2 lists a number of problems from engineering and economics which give rise to semi-infinite models, including (reverse) Chebyshev approximation, minimax problems, ro bust optimization, design centering, defect minimization problems for operator equations, and disjunctive programming.

Semi-Infinite Fractional Programming

Author : Ram U. Verma
Publisher : Springer
ISBN 13 : 9811062560
Total Pages : 298 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Semi-Infinite Fractional Programming by : Ram U. Verma

Download or read book Semi-Infinite Fractional Programming written by Ram U. Verma and published by Springer. This book was released on 2017-10-24 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a smooth and unified transitional framework from generalised fractional programming, with a finite number of variables and a finite number of constraints, to semi-infinite fractional programming, where a number of variables are finite but with infinite constraints. It focuses on empowering graduate students, faculty and other research enthusiasts to pursue more accelerated research advances with significant interdisciplinary applications without borders. In terms of developing general frameworks for theoretical foundations and real-world applications, it discusses a number of new classes of generalised second-order invex functions and second-order univex functions, new sets of second-order necessary optimality conditions, second-order sufficient optimality conditions, and second-order duality models for establishing numerous duality theorems for discrete minmax (or maxmin) semi-infinite fractional programming problems. In the current interdisciplinary supercomputer-oriented research environment, semi-infinite fractional programming is among the most rapidly expanding research areas in terms of its multi-facet applications empowerment for real-world problems, which may stem from many control problems in robotics, outer approximation in geometry, and portfolio problems in economics, that can be transformed into semi-infinite problems as well as handled by transforming them into semi-infinite fractional programming problems. As a matter of fact, in mathematical optimisation programs, a fractional programming (or program) is a generalisation to linear fractional programming. These problems lay the theoretical foundation that enables us to fully investigate the second-order optimality and duality aspects of our principal fractional programming problem as well as its semi-infinite counterpart.

Programming Embedded Systems in C and C++

Author : Michael Barr
Publisher : "O'Reilly Media, Inc."
ISBN 13 : 9781565923546
Total Pages : 206 pages
Book Rating : 4.9/5 (235 download)

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Book Synopsis Programming Embedded Systems in C and C++ by : Michael Barr

Download or read book Programming Embedded Systems in C and C++ written by Michael Barr and published by "O'Reilly Media, Inc.". This book was released on 1999 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces embedded systems to C and C++ programmers. Topics include testing memory devices, writing and erasing flash memory, verifying nonvolatile memory contents, controlling on-chip peripherals, device driver design and implementation, and more.

Semi-infinite Programming and Applications

Author : Anthony V. Fiacco
Publisher :
ISBN 13 : 9780540123049
Total Pages : 0 pages
Book Rating : 4.1/5 (23 download)

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Book Synopsis Semi-infinite Programming and Applications by : Anthony V. Fiacco

Download or read book Semi-infinite Programming and Applications written by Anthony V. Fiacco and published by . This book was released on 1983 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Infinite Programming

Author : Edward J Anderson
Publisher :
ISBN 13 : 9783642465659
Total Pages : 264 pages
Book Rating : 4.4/5 (656 download)

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Book Synopsis Infinite Programming by : Edward J Anderson

Download or read book Infinite Programming written by Edward J Anderson and published by . This book was released on 1985-11-01 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Semi-infinite Programming

Author : Hui Hu
Publisher :
ISBN 13 :
Total Pages : 136 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Semi-infinite Programming by : Hui Hu

Download or read book Semi-infinite Programming written by Hui Hu and published by . This book was released on 1989 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: Upper bounds for finding an [epsilon]-optimal solution and for the distance between an [epsilon]-optimal solution and an optimal solution are given. (4) Applications of the above algorithm to convex programming. First, a certain semi-infinite linear program is solved by this algorithm so as to obtain a feasible solution of a convex program. Then, another semi-infinite linear program is solved by this algorithm so as to obtain an optimal solution of the convex program. In particular, it is shown that for a strongly consistent convex program this algorithm can find a feasible solution after a finite number of iterations."

Mathematical Programming The State of the Art

Author : A. Bachem
Publisher : Springer Science & Business Media
ISBN 13 : 3642688748
Total Pages : 662 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Mathematical Programming The State of the Art by : A. Bachem

Download or read book Mathematical Programming The State of the Art written by A. Bachem and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 662 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the late forties, Mathematical Programming became a scientific discipline in its own right. Since then it has experienced a tremendous growth. Beginning with economic and military applications, it is now among the most important fields of applied mathematics with extensive use in engineering, natural sciences, economics, and biological sciences. The lively activity in this area is demonstrated by the fact that as early as 1949 the first "Symposium on Mathe matical Programming" took place in Chicago. Since then mathematical programmers from all over the world have gath ered at the intfrnational symposia of the Mathematical Programming Society roughly every three years to present their recent research, to exchange ideas with their colleagues and to learn about the latest developments in their own and related fields. In 1982, the XI. International Symposium on Mathematical Programming was held at the University of Bonn, W. Germany, from August 23 to 27. It was organized by the Institut fUr Okonometrie und Operations Re search of the University of Bonn in collaboration with the Sonderforschungs bereich 21 of the Deutsche Forschungsgemeinschaft. This volume constitutes part of the outgrowth of this symposium and docu ments its scientific activities. Part I of the book contains information about the symposium, welcoming addresses, lists of committees and sponsors and a brief review about the Ful kerson Prize and the Dantzig Prize which were awarded during the opening ceremony.

Semi-Infinite Programming

Author : R. Hettich
Publisher :
ISBN 13 : 9783662172391
Total Pages : 192 pages
Book Rating : 4.1/5 (723 download)

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Book Synopsis Semi-Infinite Programming by : R. Hettich

Download or read book Semi-Infinite Programming written by R. Hettich and published by . This book was released on 2014-01-15 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Post-Optimal Analysis in Linear Semi-Infinite Optimization

Author : Miguel A. Goberna
Publisher : Springer Science & Business Media
ISBN 13 : 148998044X
Total Pages : 128 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Post-Optimal Analysis in Linear Semi-Infinite Optimization by : Miguel A. Goberna

Download or read book Post-Optimal Analysis in Linear Semi-Infinite Optimization written by Miguel A. Goberna and published by Springer Science & Business Media. This book was released on 2014-01-06 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: Post-Optimal Analysis in Linear Semi-Infinite Optimization examines the following topics in regards to linear semi-infinite optimization: modeling uncertainty, qualitative stability analysis, quantitative stability analysis and sensitivity analysis. Linear semi-infinite optimization (LSIO) deals with linear optimization problems where the dimension of the decision space or the number of constraints is infinite. The authors compare the post-optimal analysis with alternative approaches to uncertain LSIO problems and provide readers with criteria to choose the best way to model a given uncertain LSIO problem depending on the nature and quality of the data along with the available software. This work also contains open problems which readers will find intriguing a challenging. Post-Optimal Analysis in Linear Semi-Infinite Optimization is aimed toward researchers, graduate and post-graduate students of mathematics interested in optimization, parametric optimization and related topics.

Stochastic Optimal Control in Infinite Dimension

Author : Giorgio Fabbri
Publisher : Springer
ISBN 13 : 3319530674
Total Pages : 928 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Stochastic Optimal Control in Infinite Dimension by : Giorgio Fabbri

Download or read book Stochastic Optimal Control in Infinite Dimension written by Giorgio Fabbri and published by Springer. This book was released on 2017-06-22 with total page 928 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing an introduction to stochastic optimal control in infinite dimension, this book gives a complete account of the theory of second-order HJB equations in infinite-dimensional Hilbert spaces, focusing on its applicability to associated stochastic optimal control problems. It features a general introduction to optimal stochastic control, including basic results (e.g. the dynamic programming principle) with proofs, and provides examples of applications. A complete and up-to-date exposition of the existing theory of viscosity solutions and regular solutions of second-order HJB equations in Hilbert spaces is given, together with an extensive survey of other methods, with a full bibliography. In particular, Chapter 6, written by M. Fuhrman and G. Tessitore, surveys the theory of regular solutions of HJB equations arising in infinite-dimensional stochastic control, via BSDEs. The book is of interest to both pure and applied researchers working in the control theory of stochastic PDEs, and in PDEs in infinite dimension. Readers from other fields who want to learn the basic theory will also find it useful. The prerequisites are: standard functional analysis, the theory of semigroups of operators and its use in the study of PDEs, some knowledge of the dynamic programming approach to stochastic optimal control problems in finite dimension, and the basics of stochastic analysis and stochastic equations in infinite-dimensional spaces.

Semi-Infinite Programming and Applications

Author : A. V. Fiacco
Publisher :
ISBN 13 : 9783642464782
Total Pages : 340 pages
Book Rating : 4.4/5 (647 download)

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Book Synopsis Semi-Infinite Programming and Applications by : A. V. Fiacco

Download or read book Semi-Infinite Programming and Applications written by A. V. Fiacco and published by . This book was released on 2014-01-15 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computer Science & Perl Programming

Author : Jon Orwant
Publisher : "O'Reilly Media, Inc."
ISBN 13 : 1449371353
Total Pages : 760 pages
Book Rating : 4.4/5 (493 download)

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Book Synopsis Computer Science & Perl Programming by : Jon Orwant

Download or read book Computer Science & Perl Programming written by Jon Orwant and published by "O'Reilly Media, Inc.". This book was released on 2002-11-04 with total page 760 pages. Available in PDF, EPUB and Kindle. Book excerpt: In its first five years of existence, The Perl Journal ran 247 articles by over 120 authors. Every serious Perl programmer subscribed to it, and every notable Perl guru jumped at the opportunity to write for it. TPJ explained critical topics such as regular expressions, databases, and object-oriented programming, and demonstrated Perl's utility for fields as diverse as astronomy, biology, economics, AI, and games. The magazine gave birth to both the Obfuscated Perl Contest and the Perl Poetry contest, and remains a proud and timeless achievement of Perl during one of its most exciting periods of development.Computer Science and Perl Programming is the first volume of The Best of the Perl Journal, compiled and re-edited by the original editor and publisher of The Perl Journal, Jon Orwant. In this series, we've taken the very best (and still relevant) articles published in TPJ over its 5 years of publication and immortalized them into three volumes. This volume has 70 articles devoted to hard-core computer science, advanced programming techniques, and the underlying mechanics of Perl.Here's a sample of what you'll find inside: Jeffrey Friedl on Understanding Regexes Mark Jason Dominus on optimizing your Perl programs with Memoization Damian Conway on Parsing Tim Meadowcroft on integrating Perl with Microsoft Office Larry Wall on the culture of Perl Written by 41 of the most prominent and prolific members of the closely-knit Perl community, this anthology does what no other book can, giving unique insight into the real-life applications and powerful techniques made possible by Perl.Other books tell you how to use Perl, but this book goes far beyond that: it shows you not only how to use Perl, but what you could use Perl for. This is more than just The Best of the Perl Journal -- in many ways, this is the best of Perl.