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Domain Decomposition Methods in Optimal Control of Partial Differential Equations
by Lagnese, John E.    Leugering, Günter   
(Paperback - English - 9783034896108)
While domain decomposition methods have a long history dating back well over one hundred years, it is only during the last decade that they have br become a major tool in numerical analysis of partial differential equations. br This monograph considers problems of optimal control for partial differential equations of elliptic and, more importantly, of hyperbolic types on networked domains. The main goal is to describe, develop and analyze iterative space and time domain decompositions of such problems on the infinite dimensional level. br ..
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Recent Developments in Vector Optimization
by Ansari, Qamrul Hasan    Yao, Jen-Chih   
(Paperback - English - 9783642271069)
We always come cross several decision-making problems in our daily life. Such problems are always conflicting in which many different view points should be satisfied. In politics, business, industrial systems, management science, networks, etc. one often encounters such kind of problems. The most important and difficult part in such problems is the conflict between various objectives and goals. In these problems, one has to find the minimum(or maximum) for several objective functions. Such problems are called vector optimization problems (VOP), multi-criteria optimization problems or multi-objective optimization problems. This volume deals with several different ..
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50 Years of Integer Programming 1958-2008: From the Early Years to the State-Of-The-Art [With 2 DVDs]
by Jünger, Michael    Liebling, Thomas M.    Naddef, Denis
(Hardcover - English - 9783540682745)
In 1958, Ralph E. Gomory transformed the field of integer programming when he published a short paper that described his cutting-plane algorithm for pure integer programs and announced that the method could be refined to give a finite algorithm for integer programming. In January of 2008, to commemorate the anniversary of Gomory's seminal paper, a special session celebrating fifty years of integer programming was held in Aussois, France, as part of the 12th Combinatorial Optimization Workshop. This book is based on the material presented during this session. 50 Years of Integer Programming offers an account of featured talks at the 2008 Aussois workshop, namely ..
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Special Order
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Developments in Global Optimization
by Bomze, Immanuel M.    Csendes, Tibor    Horst, R.
(Hardcover - English - 9780792343516)
In recent years global optimization has found applications in many interesting areas of science and technology including molecular biology, chemical equilibrium problems, medical imaging and networks. The collection of papers in this book indicates the diverse applicability of global optimization. Furthermore, various algorithmic, theoretical developments and computational studies are presented. br Audience: All researchers and students working in mathematical programming ..
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Stochastic Control and Mathematical Modeling: Applications in Economics
by Morimoto, Hiroaki       
(Hardcover - English - 9780521195034)
This is a concise and elementary introduction to stochastic control and mathematical modeling. This book is designed for researchers in stochastic control theory studying its application in mathematical economics and those in economics who are interested in mathematical theory in control. It is also a good guide for graduate students studying applied mathematics, mathematical economics, and non-linear PDE theory. Contents include the basics of analysis and probability, the theory of stochastic differential equations, variational problems, problems in optimal consumption and in optimal stopping, optimal pollution control, and solving the HJB equation with boundar ..
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Optimal Transportation Networks: Models and Theory
by Bernot, Marc    Caselles, Vicent    Morel, Jean-Michel
(Paperback - English - 9783540693147)
The transportation problem can be formalized as the problem of ?nding + ? the optimal paths to transport a measure ? onto a measure ? with the same mass. In contrast with the Monge-Kantorovich formalization, recent approaches model the branched structure of such supply networks by an energy functional whose essential feature is to favor wide roads. Given a ?ow ? in a tube or a road or a wire, the transportation cost per unit length ? is supposed to be proportional to ? with 0 ..
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Graph Theory, Combinatorics and Algorithms: Interdisciplinary Applications
by Golumbic, Martin Charles    Hartman, Irith Ben-Arroyo   
(Hardcover - English - 9780387243474)
GRAPH THEORY, COMBINATORICS AND ALGORITHMS: Interdisciplinary Applications focuses on discrete mathematics and combinatorial algorithms interacting with real world problems in computer science, operations research, applied mathematics and engineering. Its 11 chapters written by experts in their respective fields, and covers a wide spectrum of high-interest problems across these discipline domains. Among the contributing authors are Richard Karp of UC Berkeley and Robert Tarjan of Princeton; both are at the pinnacle of research scholarship in Graph Theory and Combinatorics. The chapters from the contributing authors focus on real world applications, all of which ..
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Optimization Problems
by Collatz, L.    Wadsack, P.    Wetterling, W.
(Paperback - English - 9780387901435)
The German edition of this book, first published in 1966, has been quite popular; we did not, however, consider publishing an English edition because a number of excellent textbooks in this field already exist. In recent years, how- ever, the wish was frequently expressed that, especially, the description of the relationships between optimization and other subfields of mathematics, which is not to be found in this form in other texts, might be made available to a wider readership; so it was with this in mind that, be- latedly, a translation was undertaken after all. Since the appearance of the German edition, the field of optimization has continued to develop at ..
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Linear Models for Optimal Test Design
by Van Der Linden, Wim J.       
(Hardcover - English - 9780387202723)
This book can serve as a handbook for researchers or as a text for students in classes on test theory, test construction, or applied statistics. ..
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Quadratic Programming and Affine Variational Inequalities: A Qualitative Study
by Lee, Gue Myung    Tam, N. N.    Yen, Nguyen Dong
(Hardcover - English - 9780387242774)
Quadratic programs and affine variational inequalities represent two fundamental, closely-related classes of problems in the t, heories of mathematical programming and variational inequalities, resp- tively. This book develops a unified theory on qualitative aspects of nonconvex quadratic programming and affine variational inequ- ities. The first seven chapters introduce the reader step-by-step to the central issues concerning a quadratic program or an affine variational inequality, such as the solution existence, necessary and sufficient conditions for a point to belong to the solution set, and properties of the solution set. The subsequent two chapters discuss ..
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Practical Bilevel Optimization: Algorithms and Applications
by Bard, Jonathan F.       
(Paperback - English - 9781441948076)
The use of optimization techniques has become integral to the design and analysis of most industrial and socio-economic systems. Great strides have been made recently in the solution of large-scale problems arising in such areas as production planning, airline scheduling, government regulation, and engineering design, to name a few. Analysts have found, however, that standard mathematical programming models are often inadequate in these situations because more than a single objective function and a single decision maker are involved. Multiple objective programming deals with the extension of optimization techniques to account for several objective functions, whi ..
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Approximation and Computation: In Honor of Gradimir V. Milovanovic
by Gautschi, Walter    Mastroianni, Giuseppe    Rassias, Themistocles M.
(Hardcover - English - 9781441965936)
Approximation theory and numerical analysis are central to the creation of accurate computer simulations and mathematical models. Research in these areas can influence the computational techniques used in a variety of mathematical and computational sciences. This collection of contributed chapters, dedicated to renowned mathematician Gradimir V. Milovanovic, represent the recent work of experts in the fields of approximation theory and numerical analysis. These invited contributions describe new trends in these important areas of research including theoretic developments, new computational algorithms, and multidisciplinary applications. Special features of thi ..
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Single-Facility Location Problems with Barriers
by Klamroth, Kathrin       
(Paperback - English - 9781441930279)
This text develops the mathematical implications of barriers to the geometrical and analytical characteristics of continuous location problems. Theoretic as well as algorithmic approaches are utilized to overcome the described difficulties for the solution of location problems with barriers. ..
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Convex Analysis and Global Optimization
by Hoang Tuy       
(Paperback - English - 9781441947833)
Due to the general complementary convex structure underlying most nonconvex optimization problems encountered in applications, convex analysis plays an essential role in the development of global optimization methods. This book develops a coherent and rigorous theory of deterministic global optimization from this point of view. Partconstitutes an introduction to convex analysis, with an emphasis on concepts, properties and results particularly needed for global optimization, including those pertaining to the complementary convex structure. Part II presents the foundation and application of global search principles such as partitioning and cutting, outer and inne ..
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Special Order
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Morse Theoretic Methods in Nonlinear Analysis and in Symplectic Topology
by Biran, Paul    Cornea, Octav    LaLonde, François
(Paperback - English - 9781402042737)
The papers collected in this volume are contributions to the 43rd session of the Seminaire de mathematiques superieures (SMS) on "Morse Theoretic Methods in Nonlinear Analysis and Symplectic Topology." This session took place at the Universite de Montreal in July 2004 and was a NATO Advanced Study Institute (ASI). The aim of the ASI was to bring together young researchers from various parts of the world and to present to them some of the most signi cant recent advances in these areas. More than 77 mathematicians from 17 countries followed the 12 series of lectures and participated in the lively exchange of ideas. The lectures covered an ample spectrum ..
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Invexity and Optimization
by Mishra, Shashi K.    Giorgi, Giorgio   
(Paperback - English - 9783642097317)
Introduction.- Invex Functions (The Smooth Case).- Pseudolinearity. Invexity and Generalized Monotonicity.- Extensions of Invexity to Nondifferentiable Functions.- Invexity in Nonlinear Programming.- Invex Functions in Multiobjective Programming.- Variational and Control problems involving Invexity.- Invexity For Some Special Functions and Problems.- References.- Index. ..
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Foundations of Bilevel Programming
by Dempe, Stephan       
(Hardcover - English - 9781402006319)
Bilevel programming problems are hierarchical optimization problems where the constraints of one problem (the so-called upper level problem) are defined in part by a second parametric optimization problem (the lower level problem). If the lower level problem has a unique optimal solution for all parameter values, this problem is equivalent to a one-level optimization problem having an implicitly defined objective function. Special emphasize in the book is on problems having non-unique lower level optimal solutions, the optimistic (or weak) and the pessimistic (or strong) approaches are discussed. The book starts with the required results in parametric nonlinear ..
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Optimization and Control with Applications
by Qi, Liqun    Teo, Kok Lay    Yang, Xiao Qi
(Paperback - English - 9781441937094)
A collection of 28 refereed papers grouped according to four broad topics: duality and optimality conditions, optimization algorithms, optimal control, and variational inequality and equilibrium problems. Suitable for researchers, practitioners and postgrads. ..
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Conflict-Controlled Processes
by Chikrii, A.       
(Paperback - English - 9789048148400)
This monograph covers one of the divisions of mathematical theory of control which examines moving objects functionating under conflict and uncertainty conditions. To identify this range of problems we use the term conflict con- trolled processes, coined in recent years. As the name itself does not imply the type of dynamics (difference, ordinary differential, difference-differential, integral, or partial differential equations) the differential games falI within its realms. The problems of search and tracking moving objects are also referred to the field of conflict controlled process. The contents of the monograph is confined to studying classical pursuit-evas ..
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Recent Advances in Applied Probability
by Baeza-Yates, Ricardo    Glaz, Joseph    Gzyl, Henryk
(Hardcover - English - 9780387233789)
Applied probability is a broad research area that is of interest to scientists in diverse disciplines in science and technology, including: anthropology, biology, communication theory, economics, epidemiology, finance, geography, linguistics, medicine, meteorology, operations research, psychology, quality control, sociology, and statistics. strong Recent Advances in Applied Probability strong is a collection of survey articles that bring together the work of leading researchers in applied probability to present current research advances in this important area. This volume will be of interest to graduate students and researchers whose research is closely con ..
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