This book provides astronomers with a guide to specifying an astrophysical model for a set of observations, selecting an algorithm to determine the parameters of the model, and estimating the errors of the parameters.
An Introduction with Case Studies and Solutions in Various Algebraic Modeling Languages
Focusing on mathematical optimization, this book offers a structured method for formulating and solving diverse real-world problems, including production, distribution, and scheduling. It covers various optimization techniques such as linear and nonlinear programming, while addressing practical issues like valid inequalities and data visualization. Readers will gain insights into modeling challenges across industries like process, energy, and logistics, equipping them with skills to tackle complex optimization scenarios in an increasingly digital environment.
Focusing on the formulation of mathematical models, this book delves into the light curves of eclipsing binary stars and the algorithms used to create these models. The latest edition introduces new physics relevant to light curve modeling and distance fitting, along with fresh applications and updated references, enhancing its relevance for researchers in the field.
Optimization is a serious issue, touching many aspects of our life and activity. But it has not yet been completely absorbed in our culture. In this book the authors point out how relatively young even the word “model” is. On top of that, the concept is rather elusive. How to deal with a technology that ? nds applicationsinthingsasdi? erentaslogistics, robotics, circuitlayout,? nancial deals and tra? c control? Although, during the last decades, we made signi? cant progress, the broad public remained largely unaware of that. The days of John von Neumann, with his vast halls full of people frantically working mechanical calculators are long gone. Things that looked completely impossible in my youth, like solving mixed integer problems are routine by now. All that was not just achieved by ever faster and cheaper computers, but also by serious progress in mathematics. But even in a world that more and more understands that it cannot a? ord to waste resources, optimization remains to a large extent unknown. R It is quite logical and also fortunate that SAP , the leading supplier of enterprise management systems has embedded an optimizer in his software. The authors have very carefully investigated the capabilities and the limits of APO. Remember that optimization is still a work in progress. We do not have the tool that does everything for everybody.
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.
Provides a broad introduction into the field of energy production and trading by discussion about 20 real world cases Besides the overview the reader learns about mathematical optimization methods used to solve these problems Includes supplementary material: sn. pub/extras
Mit Fallstudien aus Chemie, Energiewirtschaft, Papierindustrie, Metallgewerbe, Produktion und Logistik
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.
Die gemischt-ganzzahlige Optimierung (Diskrete Optimierung) wird in den Gebieten Logistik, Transport, Produktionsplanung, Finanzen, Kommunikation oder Yield-Management eingesetzt. Der Autor führt Modellbildungsaspekte und algorithmische Aspekte aus den Bereichen kontinuierlicher und gemischt-ganzzahliger, linearer und nichtlinearer und schließlich globaler Optimierung zusammen.