Algebraic Modeling Systems

Author : Josef Kallrath
Publisher : Springer Science & Business Media
Page : 255 pages
File Size : 50,8 Mb
Release : 2012-02-14
Category : Business & Economics
ISBN : 9783642235924

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Algebraic Modeling Systems by Josef Kallrath Pdf

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.

Author : Alireza Soroudi
Publisher : Springer
Page : 295 pages
File Size : 45,6 Mb
Release : 2017-08-29
Category : Technology & Engineering
ISBN : 9783319623504

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Power System Optimization Modeling in GAMS by Alireza Soroudi Pdf

This unique book describes how the General Algebraic Modeling System (GAMS) can be used to solve various power system operation and planning optimization problems. This book is the first of its kind to provide readers with a comprehensive reference that includes the solution codes for basic/advanced power system optimization problems in GAMS, a computationally efficient tool for analyzing optimization problems in power and energy systems. The book covers theoretical background as well as the application examples and test case studies. It is a suitable reference for dedicated and general audiences including power system professionals as well as researchers and developers from the energy sector and electrical power engineering community and will be helpful to undergraduate and graduate students.

Author : Josef Kallrath
Publisher : Springer Science & Business Media
Page : 427 pages
File Size : 43,7 Mb
Release : 2013-12-01
Category : Mathematics
ISBN : 9781461302155

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Modeling Languages in Mathematical Optimization by Josef Kallrath Pdf

This volume presents a unique combination of modeling and solving real world optimization problems. It is the only book which treats systematically the major modeling languages and systems used to solve mathematical optimization problems, and it also provides a useful overview and orientation of today's modeling languages in mathematical optimization. It demonstrates the strengths and characteristic features of such languages and provides a bridge for researchers, practitioners and students into a new world: solving real optimization problems with the most advances modeling systems.

Author : Salvador Cruz Rambaud
Publisher : World Scientific
Page : 255 pages
File Size : 50,9 Mb
Release : 2010
Category : Business & Economics
ISBN : 9789814287128

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Algebraic Models for Accounting Systems by Salvador Cruz Rambaud Pdf

This book describes the construction of algebraic models which represent the operations of the double entry accounting system. It gives a novel, comprehensive, proof based treatment of the topic, using such concepts from abstract algebra as automata, digraphs, monoids and quotient structures.

Author : Nnamdi Nwulu,Saheed Lekan Gbadamosi
Publisher : Springer Nature
Page : 264 pages
File Size : 54,7 Mb
Release : 2021-01-04
Category : Technology & Engineering
ISBN : 9783030003951

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Optimal Operation and Control of Power Systems Using an Algebraic Modelling Language by Nnamdi Nwulu,Saheed Lekan Gbadamosi Pdf

This book presents mathematical models of demand-side management programs, together with operational and control problems for power and renewable energy systems. It reflects the need for optimal operation and control of today’s electricity grid at both the supply and demand spectrum of the grid. This need is further compounded by the advent of smart grids, which has led to increased customer/consumer participation in power and renewable energy system operations. The book begins by giving an overview of power and renewable energy systems, demand-side management programs and algebraic modeling languages. The overview includes detailed consideration of appliance scheduling algorithms, price elasticity matrices and demand response incentives. Furthermore, the book presents various power system operational and control mathematical formulations, incorporating demand-side management programs. The mathematical formulations developed are modeled and solved using the Advanced Interactive Multidimensional Modeling System (AIMMS) software, which offers a powerful yet simple algebraic modeling language for solving optimization problems. The book is extremely useful for all power system operators and planners who are concerned with optimal operational procedures for managing today’s complex grids, a context in which customers are active participants and can curb/control their demand. The book details how AIMMS can be a useful tool in optimizing power grids and also offers a valuable research aid for students and academics alike.

Author : Neculai Andrei
Publisher : Springer Science & Business Media
Page : 340 pages
File Size : 47,7 Mb
Release : 2013-06-22
Category : Mathematics
ISBN : 9781461467977

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Nonlinear Optimization Applications Using the GAMS Technology by Neculai Andrei Pdf

Here is a collection of nonlinear optimization applications from the real world, expressed in the General Algebraic Modeling System (GAMS). The concepts are presented so that the reader can quickly modify and update them to represent real-world situations.

Author : Anatolij Ivanovic Mal'cev
Publisher : Springer Science & Business Media
Page : 331 pages
File Size : 50,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642653742

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Algebraic Systems by Anatolij Ivanovic Mal'cev Pdf

As far back as the 1920's, algebra had been accepted as the science studying the properties of sets on which there is defined a particular system of operations. However up until the forties the overwhelming majority of algebraists were investigating merely a few kinds of algebraic structures. These were primarily groups, rings and lattices. The first general theoretical work dealing with arbitrary sets with arbitrary operations is due to G. Birkhoff (1935). During these same years, A. Tarski published an important paper in which he formulated the basic prin ciples of a theory of sets equipped with a system of relations. Such sets are now called models. In contrast to algebra, model theory made abun dant use of the apparatus of mathematical logic. The possibility of making fruitful use of logic not only to study universal algebras but also the more classical parts of algebra such as group theory was dis covered by the author in 1936. During the next twenty-five years, it gradually became clear that the theory of universal algebras and model theory are very intimately related despite a certain difference in the nature of their problems. And it is therefore meaningful to speak of a single theory of algebraic systems dealing with sets on which there is defined a series of operations and relations (algebraic systems). The formal apparatus of the theory is the language of the so-called applied predicate calculus. Thus the theory can be considered to border on logic and algebra.

Author : Courtney Brown
Publisher : SAGE
Page : 105 pages
File Size : 53,8 Mb
Release : 2008
Category : Mathematics
ISBN : 9781412941099

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Graph Algebra by Courtney Brown Pdf

This book describes an easily applied language of mathematical modeling that uses boxes and arrows to develop very sophisticated, algebraic statements of social and political phenomena.

Author : Mark Steven Csele
Publisher : CRC Press
Page : 274 pages
File Size : 51,9 Mb
Release : 2017-12-19
Category : Technology & Engineering
ISBN : 9781466582514

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Laser Modeling by Mark Steven Csele Pdf

Offering a fresh take on laser engineering, Laser Modeling: A Numerical Approach with Algebra and Calculus presents algebraic models and traditional calculus-based methods in tandem to make concepts easier to digest and apply in the real world. Each technique is introduced alongside a practical, solved example based on a commercial laser. Assuming some knowledge of the nature of light, emission of radiation, and basic atomic physics, the text: Explains how to formulate an accurate gain threshold equation as well as determine small-signal gain Discusses gain saturation and introduces a novel pass-by-pass model for rapid implementation of "what if?" scenarios Outlines the calculus-based Rigrod approach in a simplified manner to aid in comprehension Considers thermal effects on solid-state lasers and other lasers with new and efficient quasi-three-level materials Demonstrates how the convolution method is used to predict the effect of temperature drift on a DPSS system Describes the technique and technology of Q-switching and provides a simple model for predicting output power Addresses non-linear optics and supplies a simple model for calculating optimal crystal length Examines common laser systems, answering basic design questions and summarizing parameters Includes downloadable Microsoft® ExcelTM spreadsheets, allowing models to be customized for specific lasers Don’t let the mathematical rigor of solutions get in the way of understanding the concepts. Laser Modeling: A Numerical Approach with Algebra and Calculus covers laser theory in an accessible way that can be applied immediately, and numerically, to real laser systems.

Author : François E. Cellier,Jurgen Greifeneder
Publisher : Springer Science & Business Media
Page : 775 pages
File Size : 43,5 Mb
Release : 2013-03-14
Category : Technology & Engineering
ISBN : 9781475739220

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Continuous System Modeling by François E. Cellier,Jurgen Greifeneder Pdf

Modeling and Simulation have become endeavors central to all disciplines of science and engineering. They are used in the analysis of physical systems where they help us gain a better understanding of the functioning of our physical world. They are also important to the design of new engineering systems where they enable us to predict the behavior of a system before it is ever actually built. Modeling and simulation are the only techniques available that allow us to analyze arbitrarily non-linear systems accurately and under varying experimental conditions. Continuous System Modeling introduces the student to an important subclass of these techniques. They deal with the analysis of systems described through a set of ordinary or partial differential equations or through a set of difference equations. This volume introduces concepts of modeling physical systems through a set of differential and/or difference equations. The purpose is twofold: it enhances the scientific understanding of our physical world by codifying (organizing) knowledge about this world, and it supports engineering design by allowing us to assess the consequences of a particular design alternative before it is actually built. This text has a flavor of the mathematical discipline of dynamical systems, and is strongly oriented towards Newtonian physical science.

Author : Bernd Heidergott,Geert Jan Olsder,Jacob van der Woude
Publisher : Princeton University Press
Page : 226 pages
File Size : 42,8 Mb
Release : 2014-09-08
Category : Mathematics
ISBN : 9781400865239

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Max Plus at Work by Bernd Heidergott,Geert Jan Olsder,Jacob van der Woude Pdf

Trains pull into a railroad station and must wait for each other before leaving again in order to let passengers change trains. How do mathematicians then calculate a railroad timetable that accurately reflects their comings and goings? One approach is to use max-plus algebra, a framework used to model Discrete Event Systems, which are well suited to describe the ordering and timing of events. This is the first textbook on max-plus algebra, providing a concise and self-contained introduction to the topic. Applications of max-plus algebra abound in the world around us. Traffic systems, computer communication systems, production lines, and flows in networks are all based on discrete even systems, and thus can be conveniently described and analyzed by means of max-plus algebra. The book consists of an introduction and thirteen chapters in three parts. Part One explores the introduction of max-plus algebra and of system descriptions based upon it. Part Two deals with a real application, namely the design of timetables for railway networks. Part Three examines various extensions, such as stochastic systems and min-max-plus systems. The text is suitable for last-year undergraduates in mathematics, and each chapter provides exercises, notes, and a reference section.

Author : K.M. Furati,Abul Hasan Siddiqi
Publisher : CRC Press
Page : 472 pages
File Size : 53,5 Mb
Release : 2005-07-19
Category : Mathematics
ISBN : 9781420026511

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Mathematical Models and Methods for Real World Systems by K.M. Furati,Abul Hasan Siddiqi Pdf

Mathematics does not exist in isolation but is linked inextricably to the physical world. At the 2003 International Congress of Industrial and Applied Mathematics, leading mathematicians from around the globe gathered for a symposium on the "Mathematics of Real World Problems," which focused on furthering the establishment and dissemination of thos

Author : Sofia Lambropoulou,Doros Theodorou,Petros Stefaneas,Louis H. Kauffman
Publisher : Springer
Page : 482 pages
File Size : 40,5 Mb
Release : 2017-12-14
Category : Mathematics
ISBN : 9783319681030

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Algebraic Modeling of Topological and Computational Structures and Applications by Sofia Lambropoulou,Doros Theodorou,Petros Stefaneas,Louis H. Kauffman Pdf

This interdisciplinary book covers a wide range of subjects, from pure mathematics (knots, braids, homotopy theory, number theory) to more applied mathematics (cryptography, algebraic specification of algorithms, dynamical systems) and concrete applications (modeling of polymers and ionic liquids, video, music and medical imaging). The main mathematical focus throughout the book is on algebraic modeling with particular emphasis on braid groups. The research methods include algebraic modeling using topological structures, such as knots, 3-manifolds, classical homotopy groups, and braid groups. The applications address the simulation of polymer chains and ionic liquids, as well as the modeling of natural phenomena via topological surgery. The treatment of computational structures, including finite fields and cryptography, focuses on the development of novel techniques. These techniques can be applied to the design of algebraic specifications for systems modeling and verification. This book is the outcome of a workshop in connection with the research project Thales on Algebraic Modeling of Topological and Computational Structures and Applications, held at the National Technical University of Athens, Greece in July 2015. The reader will benefit from the innovative approaches to tackling difficult questions in topology, applications and interrelated research areas, which largely employ algebraic tools.

Author : Josef Kallrath
Publisher : Springer Nature
Page : 653 pages
File Size : 51,7 Mb
Release : 2021-08-31
Category : Business & Economics
ISBN : 9783030732370

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Business Optimization Using Mathematical Programming by Josef Kallrath Pdf

This book presents a structured approach to formulate, model, and solve mathematical optimization problems for a wide range of real world situations. Among the problems covered are production, distribution and supply chain planning, scheduling, vehicle routing, as well as cutting stock, packing, and nesting. The optimization techniques used to solve the problems are primarily linear, mixed-integer linear, nonlinear, and mixed integer nonlinear programming. The book also covers important considerations for solving real-world optimization problems, such as dealing with valid inequalities and symmetry during the modeling phase, but also data interfacing and visualization of results in a more and more digitized world. The broad range of ideas and approaches presented helps the reader to learn how to model a variety of problems from process industry, paper and metals industry, the energy sector, and logistics using mathematical optimization techniques.

Author : Stanford University. Department of Operations Research. Systems Optimization Laboratory
Publisher : Unknown
Page : 52 pages
File Size : 42,9 Mb
Release : 1990
Category : Electronic
ISBN : STANFORD:36105046363714

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Interactive Model Management System: User Interface and System Design by Stanford University. Department of Operations Research. Systems Optimization Laboratory Pdf