Modeling Languages in Mathematical Optimization

Modeling Languages in Mathematical Optimization PDF Author: Josef Kallrath
Publisher: Springer Science & Business Media
ISBN: 1461302153
Category : Mathematics
Languages : en
Pages : 427

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Book Description
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.

Modeling Languages in Mathematical Optimization

Modeling Languages in Mathematical Optimization PDF Author: Josef Kallrath
Publisher: Springer Science & Business Media
ISBN: 1461302153
Category : Mathematics
Languages : en
Pages : 427

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Book Description
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.

Algebraic Modeling Systems

Algebraic Modeling Systems PDF Author: Josef Kallrath
Publisher: Springer Science & Business Media
ISBN: 3642235913
Category : Business & Economics
Languages : en
Pages : 255

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Book Description
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.

Power System Optimization Modeling in GAMS

Power System Optimization Modeling in GAMS PDF Author: Alireza Soroudi
Publisher: Springer
ISBN: 3319623508
Category : Technology & Engineering
Languages : en
Pages : 309

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Book Description
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.

Algebraic Models for Accounting Systems

Algebraic Models for Accounting Systems PDF Author: Salvador Cruz Rambaud
Publisher: World Scientific
ISBN: 9814287121
Category : Business & Economics
Languages : en
Pages : 255

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Book Description
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.

General Algebraic Modeling System (GAMS).

General Algebraic Modeling System (GAMS). PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Book Description
Presents information on the General Algebraic Modeling System (GAMS), a high-level modeling system for mathematical programming problems. Notes that GAMS is tailored for complex, large scale modeling applications. Includes an introduction to GAMS and information on available solves, computing platforms, and workshops. Contains documentation, including a FAQ section, the GAMS Model Library, and the GAMS mailing list. Posts contact information for GAMS Development Corporation in Washington, D.C., via mailing address, telephone and fax numbers, and e-mail.

Graph Algebra

Graph Algebra PDF Author: Courtney Brown
Publisher: SAGE
ISBN: 1412941091
Category : Mathematics
Languages : en
Pages : 105

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Book Description
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.

Algebraic Modeling Systems

Algebraic Modeling Systems PDF Author: Josef Kallrath
Publisher: Springer Science & Business Media
ISBN: 3642235921
Category : Business & Economics
Languages : en
Pages : 255

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Book Description
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.

Optimal Operation and Control of Power Systems Using an Algebraic Modelling Language

Optimal Operation and Control of Power Systems Using an Algebraic Modelling Language PDF Author: Nnamdi Nwulu
Publisher: Springer Nature
ISBN: 3030003957
Category : Technology & Engineering
Languages : en
Pages : 264

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Book Description
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.

Nonlinear Optimization Applications Using the GAMS Technology

Nonlinear Optimization Applications Using the GAMS Technology PDF Author: Neculai Andrei
Publisher: Springer Science & Business Media
ISBN: 1461467977
Category : Mathematics
Languages : en
Pages : 356

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Book Description
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.

Max Plus at Work

Max Plus at Work PDF Author: Bernd Heidergott
Publisher: Princeton University Press
ISBN: 1400865239
Category : Mathematics
Languages : en
Pages : 226

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Book Description
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.