Download or read book Generalized Semi infinite Optimization and Related Topics written by Gerhard-Wilhelm Weber and published by . This book was released on 2000 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Generalized Semi infinite Optimization written by Gerhard-Wilhelm Weber and published by . This book was released on 1996 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Generalized Semi infinite Optimization written by Gerhard-Wilhelm Weber and published by . This book was released on 1996 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Generalized Semi infinite Optimization written by Gerhard-Wilhelm Weber and published by . This book was released on 1996 with total page 27 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Download or read book Generalized Semi infinite Optimization written by Hubertus Th Jongen and published by . This book was released on 1995 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book On Generalized Semi infinite Optimization and Bilevel Optimization written by Oliver Stein and published by . This book was released on 2000 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Coarse Solution of Generalized Semi infinite Optimization Problems Via Robust Analysis of Marginal Functions and Global Optimization written by Abebe Geletu W. Selassie and published by . This book was released on 2004 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Coarse Solution of Generalized Semi infinite Optimization Problems Via Robust Analysis of Marginal Functions and Global Optimization written by Abebe Geletu W. Selassie and published by . This book was released on 2004 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Die Arbeit beschäftigt sich überwiegend mit theoretischen Untersuchungen zur Bestimmung grober Startlösungen für verallgemeinerte semi-infinite Optimierungsaufgaben (GSIP) mit Methoden der globalen Optimierung. GSIP Probleme besitzen im Gegensatz zu den gewöhnlichen semi-infiniten Optimierungsaufgaben (SIP) die Eigenschaft, dass die Indexmenge, die die Restriktionen beschreibt, natürlich überabzählbar ist, wie bei (SIP) aber darüber hinaus von den Problemvariablen abhängig ist, d.h. die Indexmenge ist eine Punkt-Menge Abbildung. Solche Probleme sind von sehr komplexer Struktur, gleichzeitig gibt es große Klassen von naturwissenschaftlich - technischen, ökonomischen Problemen, die in (GSIP) modelliert werden können. Im allgemeinem ist die zulässige Menge von einem (GSIP) weder abgeschlossen noch zusammenhängend. Die Abgeschlossenheit von der zulässigen Menge ist gesichert durch die Unterhalbstetigkeit der Index-Abbildung. Viele Autoren machen diese Voraussetzung, um numerische Verfahren für (GSIP) herzuleiten. Diese Arbeit versucht erstmals, ohne Unterhalbstetigkeit der Index-Abbildung auszukommen. Unter diese schwächeren Voraussetzungen kann die zulässige Menge nicht abgeschlossen sein und (GSIP) kann auch keine Lösung besitzen. Trotzdem kann man eine verallgemeinerte Minimalstelle oder eine Minimalfolge für (GSIP) bestimmen. Für diese Zwecke werden zwei numerische Zugänge vorgeschlagen. Im ersten Zugang wird der zulässige Bereich des (GSIP) durch eine (gewöhnliche) parametrische semi- infinite Approximationsaufgabe beschrieben. Die Marginalfunktion der parametrischen Aufgabe ist eine exakte Straffunktion des zulässigen Bereiches des (GSIP). Im zweiten Zugang werden zwei Straffunktionen vorgestellt. Eine verwendet die semi-infinite Restriktion direkt als einen "Max"--Straffterm und die zweite entsteht durch das "lower level Problem" des (GSIP). In beiden Zugänge müssen wir uns mit unstetigen Optimierungsaufgaben beschäftigen. Es wird gezeigt, dass die entstehende Straffunktionen oberrobust (i.A. nicht stetig) sind und damit auch hier stochastische globale Optimierungsmethoden prinzipiell anwendbar sind. - Der Hauptbeitrag dieser Arbeit ist die Untersuchung von Robustheiteigenschaften von Marginalfunktionen und Punkt-Menkg-Abbildung mit bestimmte Strukturen. Dieser kann auch als eine Erweiterung der Theorie der Robusten Analysis von Chew & Zheng betrachtet werden. Gleichzeitig wird gezeigt, dass die für halbstetigen Abbildungen und Funktionen bekannten Aussagen bis auf wenige Ausnahmen in Bezug auf das Robustheitskonzept übertragen werden können.
Download or read book Linear Semi Infinite Optimization written by Miguel A. Goberna and published by . This book was released on 1998-03-11 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: A linear semi-infinite program is an optimization problem with linear objective functions and linear constraints in which either the number of unknowns or the number of constraints is finite. The many direct applications of linear semi-infinite optimization (or programming) have prompted considerable and increasing research effort in recent years. The authors' aim is to communicate the main theoretical ideas and applications techniques of this fascinating area, from the perspective of convex analysis. The four sections of the book cover: * Modelling with primal and dual problems - the primal problem, space of dual variables, the dual problem. * Linear semi-infinite systems - existence theorems, alternative theorems, redundancy phenomena, geometrical properties of the solution set. * Theory of linear semi-infinite programming - optimality, duality, boundedness, perturbations, well-posedness. * Methods of linear semi-infinite programming - an overview of the main numerical methods for primal and dual problems. Exercises and examples are provided to illustrate both theory and applications. The reader is assumed to be familiar with elementary calculus, linear algebra and general topology. An appendix on convex analysis is provided to ensure that the book is self-contained. Graduate students and researchers wishing to gain a deeper understanding of the main ideas behind the theory of linear optimization will find this book to be an essential text.
Download or read book Global Optimization Algorithms for Semi infinite and Generalized Semi infinite Programs written by Panayiotis Lemonidis and published by . This book was released on 2008 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goals of this thesis are the development of global optimization algorithms for semi-infinite and generalized semi-infinite programs and the application of these algorithms to kinetic model reduction. The outstanding issue with semi-infinite programming (SIP) was a methodology that could provide a certificate of global optimality on finite termination for SIP with nonconvex functions participating. We have developed the first methodology that can generate guaranteed feasible points for SIP and provide e-global optimality on finite termination. The algorithm has been implemented in a branch-and-bound (B & B) framework and uses discretization coupled with convexification for the lower bounding problem and the interval constrained reformulation for the upper bounding problem. Within the framework of SIP we have also proposed a number of feasible-point methods that all rely on the same basic principle; the relaxation of the lower-level problem causes a restriction of the outer problem and vice versa. All these methodologies were tested using the Watson test set. It was concluded that the concave overestimation of the SIP constraint using McCormcick relaxations and a KKT treatment of the resulting expression is the most computationally expensive method but provides tighter bounds than the interval constrained reformulation or a concave overestimator of the SIP constraint followed by linearization. All methods can work very efficiently for small problems (1-3 parameters) but suffer from the drawback that in order to converge to the global solution value the parameter set needs to subdivided. Therefore, for problems with more than 4 parameters, intractable subproblems arise very high in the B & B tree and render global solution of the whole problem infeasible.
Download or read book Generalized Semi infinite Programming Numerical Aspects written by G.J. Still and published by . This book was released on 1998 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Optimality Conditions of Semi infinite Programming and Generalized Semi infinite Programming written by Zhangyou Chen and published by . This book was released on 2013 with total page 111 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Download or read book On Optimality Conditions for Generalized Semi infinite Programming Problems written by O. Stein and published by . This book was released on 1997 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book On Local Convex Majorizing Approximations of Generalized Semi infinite Programming Problems written by E. Levitin and published by . This book was released on 1996 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Global Optimization Algorithms for Multi level and Generalized Semi infinite Problems written by Angelos Tsoukalas and published by . This book was released on 2009 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
