Semi Infinite Programming 1978

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 41,9 Mb
Release : 1978
Category : Electronic
ISBN : OCLC:258716984

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Semi infinite programming ; 1978 by Anonim Pdf

Author : R. Hettich,Rainer Hettich
Publisher : Springer
Page : 204 pages
File Size : 54,5 Mb
Release : 1979-06
Category : Technology & Engineering
ISBN : UCAL:B4011916

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Semi-Infinite Programming by R. Hettich,Rainer Hettich Pdf

Author : A.V. Fiacco,K.O. Kortanek
Publisher : Springer Science & Business Media
Page : 336 pages
File Size : 46,7 Mb
Release : 2012-12-06
Category : Business & Economics
ISBN : 9783642464775

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Semi-Infinite Programming and Applications by A.V. Fiacco,K.O. Kortanek Pdf

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.

Author : Miguel Ángel Goberna,Marco A. López
Publisher : Springer Science & Business Media
Page : 392 pages
File Size : 48,9 Mb
Release : 2013-11-11
Category : Computers
ISBN : 9781475734034

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Semi-Infinite Programming by Miguel Ángel Goberna,Marco A. López Pdf

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.

Author : Rembert Reemtsen,Jan-J. Rückmann
Publisher : Springer Science & Business Media
Page : 418 pages
File Size : 46,6 Mb
Release : 2013-03-14
Category : Computers
ISBN : 9781475728682

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Semi-Infinite Programming by Rembert Reemtsen,Jan-J. Rückmann Pdf

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.

Author : R. Hettich
Publisher : Unknown
Page : 192 pages
File Size : 52,6 Mb
Release : 2014-01-15
Category : Electronic
ISBN : 3662172399

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Semi-Infinite Programming by R. Hettich Pdf

Author : Anthony V. Fiacco,K. O. Kortanek
Publisher : Springer Verlag
Page : 0 pages
File Size : 55,9 Mb
Release : 1983
Category : Computers
ISBN : 0387123040

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Semi-infinite Programming and Applications by Anthony V. Fiacco,K. O. Kortanek Pdf

Author : Christodoulos A. Floudas,Panos M. Pardalos
Publisher : Springer Science & Business Media
Page : 4646 pages
File Size : 47,9 Mb
Release : 2008-09-04
Category : Mathematics
ISBN : 9780387747583

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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 : Edward J. Anderson,Andrew B. Philpott
Publisher : Springer Science & Business Media
Page : 262 pages
File Size : 40,5 Mb
Release : 2012-12-06
Category : Business & Economics
ISBN : 9783642465642

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Infinite Programming by Edward J. Anderson,Andrew B. Philpott Pdf

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.

Author : Beniamino Murgante,Osvaldo Gervasi,Andres Iglesias,David Taniar,Bernady O. Apduhan
Publisher : Springer
Page : 700 pages
File Size : 44,7 Mb
Release : 2011-06-17
Category : Computers
ISBN : 9783642219313

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Computational Science and Its Applications - ICCSA 2011 by Beniamino Murgante,Osvaldo Gervasi,Andres Iglesias,David Taniar,Bernady O. Apduhan Pdf

The five-volume set LNCS 6782 - 6786 constitutes the refereed proceedings of the International Conference on Computational Science and Its Applications, ICCSA 2011, held in Santander, Spain, in June 2011. The five volumes contain papers presenting a wealth of original research results in the field of computational science, from foundational issues in computer science and mathematics to advanced applications in virtually all sciences making use of computational techniques. The topics of the fully refereed papers are structured according to the five major conference themes: geographical analysis, urban modeling, spatial statistics; cities, technologies and planning; computational geometry and applications; computer aided modeling, simulation, and analysis; and mobile communications.

Author : Oliver Stein
Publisher : Springer Science & Business Media
Page : 219 pages
File Size : 42,5 Mb
Release : 2013-12-01
Category : Mathematics
ISBN : 9781441991645

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Bi-Level Strategies in Semi-Infinite Programming by Oliver Stein Pdf

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.

Author : S. Zlobec
Publisher : Springer Science & Business Media
Page : 329 pages
File Size : 49,5 Mb
Release : 2013-11-21
Category : Business & Economics
ISBN : 9781461500117

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Stable Parametric Programming by S. Zlobec Pdf

Optimality and stability are two important notions in applied mathematics. This book is a study of these notions and their relationship in linear and convex parametric programming models. It begins with a survey of basic optimality conditions in nonlinear programming. Then new results in convex programming, using LFS functions, for single-objective, multi-objective, differentiable and non-smooth programs are introduced. Parametric programming models are studied using basic tools of point-to-set topology. Stability of the models is introduced, essentially, as continuity of the feasible set of decision variables under continuous perturbations of the parameters. Perturbations that preserve this continuity are regions of stability. It is shown how these regions can be identified. The main results on stability are characterizations of locally and globally optimal parameters for stable and also for unstable perturbations. The results are straightened for linear models and bi-level programs. Some of the results are extended to abstract spaces after considering parameters as `controls'. Illustrations from diverse fields, such as data envelopment analysis, management, von Stackelberg games of market economy, and navigation problems are given and several case studies are solved by finding optimal parameters. The book has been written in an analytic spirit. Many results appear here for the first time in book form. Audience: The book is written at the level of a first-year graduate course in optimization for students with varied backgrounds interested in modeling of real-life problems. It is expected that the reader has been exposed to a prior elementary course in optimization, such as linear or non-linear programming. The last section of the book requires some knowledge of functional analysis.

Author : Hui Hu,Stanford University. Systems Optimization Laboratory
Publisher : Unknown
Page : 136 pages
File Size : 43,5 Mb
Release : 1989
Category : Convex programming
ISBN : STANFORD:36105046363516

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Semi-infinite Programming by Hui Hu,Stanford University. Systems Optimization Laboratory Pdf

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."

Author : A. Bachem,M. Grötschel,B. Korte
Publisher : Springer Science & Business Media
Page : 662 pages
File Size : 50,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642688744

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Mathematical Programming The State of the Art by A. Bachem,M. Grötschel,B. Korte Pdf

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.

Author : Ding-Zhu Du,Liqun Qi,Robert S Womersley
Publisher : World Scientific
Page : 480 pages
File Size : 45,6 Mb
Release : 1995-09-20
Category : Mathematics
ISBN : 9789814500418

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Recent Advances in Nonsmooth Optimization by Ding-Zhu Du,Liqun Qi,Robert S Womersley Pdf

Nonsmooth optimization covers the minimization or maximization of functions which do not have the differentiability properties required by classical methods. The field of nonsmooth optimization is significant, not only because of the existence of nondifferentiable functions arising directly in applications, but also because several important methods for solving difficult smooth problems lead directly to the need to solve nonsmooth problems, which are either smaller in dimension or simpler in structure. This book contains twenty five papers written by forty six authors from twenty countries in five continents. It includes papers on theory, algorithms and applications for problems with first-order nondifferentiability (the usual sense of nonsmooth optimization) second-order nondifferentiability, nonsmooth equations, nonsmooth variational inequalities and other problems related to nonsmooth optimization. Contents:Hybrid Methods for Finding the Nearest Euclidean Distance Matrix (S Al-Homidan & R Fletcher)On Generalized Differentiability of Optimal Solutions and Its Application to an Algorithm for Solving Bilevel Optimization Problems (S Dempe)An Elementary Rate of Convergence Proof for the Deep Cut Ellipsoid Algorithm (J B G Frenk & J Gromicho)On Second-Order Directional Derivatives in Nonsmooth Optimization (L R Huang & K F Ng)Sensitivity of Solutions in Nonlinear Programming Problems with Nonunique Multipliers (A B Levy & R T Rockafellar)Necessary and Sufficient Conditions for Solution Stability of Parametric Nonsmooth Equations (J-S Pang)Characterizations of Optimality for Homogeneous Programming Problems with Applications (A M Rubinov & B M Glover)A Globally Convergent Newton Method for Solving Variational Inequality Problems with Inequality Constraints (K Taji & M Fukushima)A Successive Approximation Quasi-Newton Process for Nonlinear Complementarity Problem (S-Z Zhou et al.)and other papers Readership: Students, academics and industry professionals. keywords: