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Today, the optimization of production planning processes using IT and quantitative methods is a de-facto standard in the energy industry. The energy problem is challenging and one of the most important political and economical issues in the world. Governments face the problem how to adopt the system of `Cap and Trade.' Especially, energy consuming industries, like steel, power, oil and chemical, are seriously confronted with this problem. The book offers a broad in-depth overview reflecting the requirements, possibilities and limits of mathematical optimization and, especially, stochastic optimization in the energy industry. 22 chapters with world-wide origins illuminate the mathematical requirements based on practical experiences and provide an ideal insight into the energy world -- from integration of wind energy, chain of errors in nuclear power plants and scheduling of hydroelectric power stations, over risk assessment in trading activities to various mathematical approaches.

Energy industries --Mathematical models. --- Mathematical optimization. --- Mathematical optimization --- Energy industries --- Civil & Environmental Engineering --- Mathematics --- Business & Economics --- Engineering & Applied Sciences --- Physical Sciences & Mathematics --- Industries --- Operations Research --- Economic Theory --- Calculus --- Mathematical models --- Mathematical models. --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematics. --- Energy systems. --- Operations research. --- Decision making. --- Calculus of variations. --- Electric power production. --- Calculus of Variations and Optimal Control; Optimization. --- Energy Systems. --- Operation Research/Decision Theory. --- Energy Technology. --- Electric power generation --- Electricity generation --- Power production, Electric --- Electric power systems --- Electrification --- Isoperimetrical problems --- Variations, Calculus of --- Maxima and minima --- Deciding --- Decision (Psychology) --- Decision analysis --- Decision processes --- Making decisions --- Management --- Management decisions --- Choice (Psychology) --- Problem solving --- Operational analysis --- Operational research --- Industrial engineering --- Management science --- Research --- System theory --- Math --- Science --- Decision making --- Power resources --- Mathematical analysis --- Operations research --- Simulation methods --- System analysis --- Operations Research/Decision Theory.

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Operational research. Game theory --- Mathematical control systems --- speltheorie --- operationeel onderzoek

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Das Buch beschreibt und lehrt, wie in der Industrie, vornehmlich der Prozessindustrie, aber auch anderen Industriezweigen wie Papier- und Metallindustrie oder Energiewirtschaft gemischt-ganzzahlige Optimierung eingesetzt wird, wie Probleme modelliert und letztlich erfolgreich gelöst werden können. Das Buch verbindet Modellbildungsaspekte und algorithmische Aspekte aus den Bereichen kontinuierlicher und diskreter, linearer und nichtlinearer und schließlich globaler Optimierung. Es schließt mit Betrachtungen über den Impakt, den diese Methodik in der heutigen Industriegesellschaft hat; insbesondere auch auf dem Hintergrund von Supply-Chain Management und der globalen Einführung von Softwarepaketen wie SAP. Der Inhalt Einführung: Modelle, Modellbildung und Optimierung - Einführende motivierende Beispiele - Optimierung in der Praxis - Grundlagen der Mathematischen Lösungstechniken - Die Kunst guter Modellierung - Lineare Optimierung in der Praxis - Gemischt-ganzzahlige lineare Optimierung in der Praxis - Polylithische Modellierungs- und Lösungsansätze - Nichtlineare Optimierung in der Praxis - Gemischt-ganzzahlige nichtlineare Optimierung in der Praxis - Globale Optimierung in der Praxis - Schlussbetrachtungen und Ausblick - Anhang: Mathematische Beschreibung der Optimierungsverfahren Die Zielgruppen - Studenten mit Interesse an Modellbildung, Optimierung und der Lösung realer Probleme - Praktiker und Berater in Unternehmen oder Beratungsfirmen - Lehrende der Mathematik und Wirtschaftswissenschaften zur Unterstützung ihrer Vorlesungen und Übungen Der Autor Prof. Dr. Josef Kallrath ist in der Praxis und Lehre tätig und löst mit Wissenschaftlichem Rechnen praktische Probleme in der Industrie. Schwerpunkt seiner Tätigkeit ist die Mathematische Optimierung zur Unterstützung von Entscheidungsprozessen und die Modellierung physikalischer Systeme. Lehrtätigkeiten übte er an der Universität Heidelberg und derzeitig an der University of Florida in Gainesville/USA aus. Seit 2002 leitet er die Arbeitsgruppe "Praxis der mathematischen Optimierung" der Gesellschaft für Operations Research (GOR).

Mathematical models. --- Applied mathematics. --- Engineering mathematics. --- Mathematical Modeling and Industrial Mathematics. --- Applications of Mathematics.

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This book focuses on the formulation of mathematical models for the light curves of eclipsing binary stars, and on the algorithms for generating such models. Since information gained from binary systems provides much of what we know of the masses, luminosities, and radii of stars, such models are acquiring increasing importance in studies of stellar structure and evolution. As in other areas of science, the computer revolution has given many astronomers tools that previously only specialists could use; anyone with access to a set of data can now expect to be able to model it. This book will provide astronomers, both amateur and professional, with a guide for - specifying an astrophysical model for a set of observations - selecting an algorithm to determine the parameters of the model - estimating the errors of the parameters It is written for readers with knowledge of basic calculus and linear algebra; appendices cover mathematical details on such matters as optimization, coordinate systems, and specific models. While emphasizing the physical and mathematical framework, the discussion remains close to the problems if actual implementation. It begins with an overview of the problem and a discussion of the observational data that form the basis of any model. The treatment then turns to the direct problem (computing the light curve and other observables from the a given set of parameters) and then to the indirect problem (determining a best-fit set of parameters from the data). The book concludes with chapters on specific models and approaches and the authors' views on the structure of future light- curve programs.

Eclipsing binaries --- Etoiles doubles photométriques --- Light curves --- Courbes de lumière --- Light curves. --- Etoiles doubles photométriques --- Courbes de lumière --- Observations, Astronomical. --- Astronomy—Observations. --- Astrophysics. --- Astronomy, Observations and Techniques. --- Astrophysics and Astroparticles. --- Astronomical physics --- Astronomy --- Cosmic physics --- Physics --- Astronomical observations --- Observations, Astronomical

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This book Algebraic Modeling Systems - Modeling and Solving Real World Optimization Problems - deals with the aspects of modeling and solving real-world optimization problems in a unique combination. It treats systematically the major algebraic modeling languages (AMLs) and modeling systems (AMLs) used to solve mathematical optimization problems. AMLs helped significantly to increase the usage of mathematical optimization in industry. Therefore it is logical consequence that the GOR (Gesellschaft  für Operations Research) Working Group Mathematical Optimization in Real Life had a second meeting devoted to AMLs, which, after 7 years, followed the original 71st Meeting of the GOR (Gesellschaft für Operations Research) Working Group Mathematical Optimization in Real Life which was held under the title Modeling Languages in Mathematical Optimization during April 23-25, 2003 in the German Physics Society Conference Building in Bad Honnef, Germany. While the first meeting resulted in the book Modeling Languages in Mathematical Optimization, this book is an offspring of the 86th Meeting of the GOR working group which was again held in Bad Honnef under the title Modeling Languages in Mathematical Optimization.

Operational research. Game theory --- Mathematical control systems --- speltheorie --- operationeel onderzoek