Author: Harvey J. Greenberg
Publisher: Elsevier
ISBN: 1483273601
Category : Reference
Languages : en
Pages : 535
Book Description
Computer-Assisted Analysis and Model Simplification deals with problems associated with the implementation, understanding, and management of large-scale, computer-resident models. This book focuses on five general research areas—structural modeling, qualitative economics, mathematical programming systems, relational databases, and combinatorics. In these topics, this compilation discusses the scope of computer-assisted analysis and model, structural models and graph theory, and qualitative stability of matrices and economic theory. The strong sign-solvability and weak satisfiability, automatic identification of embedded structure in large-scale optimization models, and query systems for linear programming models are also deliberated. This publication is a good source for students, specialists, and researchers interested in computer-assisted analysis and model simplification.
Computer-Assisted Analysis and Model Simplification
Author: Harvey J. Greenberg
Publisher: Elsevier
ISBN: 1483273601
Category : Reference
Languages : en
Pages : 535
Book Description
Computer-Assisted Analysis and Model Simplification deals with problems associated with the implementation, understanding, and management of large-scale, computer-resident models. This book focuses on five general research areas—structural modeling, qualitative economics, mathematical programming systems, relational databases, and combinatorics. In these topics, this compilation discusses the scope of computer-assisted analysis and model, structural models and graph theory, and qualitative stability of matrices and economic theory. The strong sign-solvability and weak satisfiability, automatic identification of embedded structure in large-scale optimization models, and query systems for linear programming models are also deliberated. This publication is a good source for students, specialists, and researchers interested in computer-assisted analysis and model simplification.
Publisher: Elsevier
ISBN: 1483273601
Category : Reference
Languages : en
Pages : 535
Book Description
Computer-Assisted Analysis and Model Simplification deals with problems associated with the implementation, understanding, and management of large-scale, computer-resident models. This book focuses on five general research areas—structural modeling, qualitative economics, mathematical programming systems, relational databases, and combinatorics. In these topics, this compilation discusses the scope of computer-assisted analysis and model, structural models and graph theory, and qualitative stability of matrices and economic theory. The strong sign-solvability and weak satisfiability, automatic identification of embedded structure in large-scale optimization models, and query systems for linear programming models are also deliberated. This publication is a good source for students, specialists, and researchers interested in computer-assisted analysis and model simplification.
Computer-assisted Analysis and Model Simplification
Author: Harvey J. Greenberg
Publisher:
ISBN: 9780124807204
Category : Computer simulation
Languages : en
Pages : 522
Book Description
Publisher:
ISBN: 9780124807204
Category : Computer simulation
Languages : en
Pages : 522
Book Description
Energy Research Abstracts
Author:
Publisher:
ISBN:
Category : Power resources
Languages : en
Pages : 868
Book Description
Publisher:
ISBN:
Category : Power resources
Languages : en
Pages : 868
Book Description
Energy Research Abstracts
Author:
Publisher:
ISBN:
Category : Power resources
Languages : en
Pages : 518
Book Description
Publisher:
ISBN:
Category : Power resources
Languages : en
Pages : 518
Book Description
Nonparametric Comparative Statics and Stability
Author: Douglas Hale
Publisher: Princeton University Press
ISBN: 1400865034
Category : Mathematics
Languages : en
Pages : 253
Book Description
The authors, leading researchers in the fields of mathematical economics and methodology, present the first comprehensive synthesis of literature on qualitative and other nonparametric techniques, which are important elements of comparative statics and stability analysis in economic theory. The topics covered show how to assess the comparative statics and stability of economic models without a precise quantitative knowledge of all model components. Applications of the analysis range from determining refutable hypotheses from theory to auditing the solutions of large, computer-based systems. This book discusses in depth the methodology involved in a nonparametric analysis of many neoclassical economic models. Constituting a virtually self-contained manual on such analysis, it provides detailed derivation of necessary and sufficient conditions for the existence of restrictive comparative statics and stability results for a range of specified models. Further, algorithms for applying certain of these conditions are given, with examples, as well as the underlying mathematical approach taken. A large body of research is unified covering issues that have been dealt with piecemeal in scattered but important journal articles by the authors and others. The book will prove invaluable to mathematical economists, mathematicians specializing in matrix or graph theory, applied economists working with large-scale economic models, and advanced students of economics. Originally published in 1999. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Publisher: Princeton University Press
ISBN: 1400865034
Category : Mathematics
Languages : en
Pages : 253
Book Description
The authors, leading researchers in the fields of mathematical economics and methodology, present the first comprehensive synthesis of literature on qualitative and other nonparametric techniques, which are important elements of comparative statics and stability analysis in economic theory. The topics covered show how to assess the comparative statics and stability of economic models without a precise quantitative knowledge of all model components. Applications of the analysis range from determining refutable hypotheses from theory to auditing the solutions of large, computer-based systems. This book discusses in depth the methodology involved in a nonparametric analysis of many neoclassical economic models. Constituting a virtually self-contained manual on such analysis, it provides detailed derivation of necessary and sufficient conditions for the existence of restrictive comparative statics and stability results for a range of specified models. Further, algorithms for applying certain of these conditions are given, with examples, as well as the underlying mathematical approach taken. A large body of research is unified covering issues that have been dealt with piecemeal in scattered but important journal articles by the authors and others. The book will prove invaluable to mathematical economists, mathematicians specializing in matrix or graph theory, applied economists working with large-scale economic models, and advanced students of economics. Originally published in 1999. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Feasibility and Infeasibility in Optimization:
Author: John W. Chinneck
Publisher: Springer Science & Business Media
ISBN: 0387749322
Category : Mathematics
Languages : en
Pages : 283
Book Description
Written by a world leader in the field and aimed at researchers in applied and engineering sciences, this brilliant text has as its main goal imparting an understanding of the methods so that practitioners can make immediate use of existing algorithms and software, and so that researchers can extend the state of the art and find new applications. It includes algorithms on seeking feasibility and analyzing infeasibility, as well as describing new and surprising applications.
Publisher: Springer Science & Business Media
ISBN: 0387749322
Category : Mathematics
Languages : en
Pages : 283
Book Description
Written by a world leader in the field and aimed at researchers in applied and engineering sciences, this brilliant text has as its main goal imparting an understanding of the methods so that practitioners can make immediate use of existing algorithms and software, and so that researchers can extend the state of the art and find new applications. It includes algorithms on seeking feasibility and analyzing infeasibility, as well as describing new and surprising applications.
A Computer-Assisted Analysis System for Mathematical Programming Models and Solutions
Author: H.J. Greenberg
Publisher: Springer Science & Business Media
ISBN: 1461532485
Category : Business & Economics
Languages : en
Pages : 276
Book Description
Welcome to ANALYZE, designed to provide computer assistance for analyzing linear programs and their solutions. Chapter 1 gives an overview of ANALYZE and how to install it. It also describes how to get started and how to obtain further documentation and help on-line. Chapter 2 reviews the forms of linear programming models and describes the syntax of a model. One of the routine, but important, functions of ANALYZE is to enable convenient access to rows and columns in the matrix by conditional delineation. Chapter 3 illustrates simple queries, like DISPLAY, LIST, and PICTURE. This chapter also introduces the SUBMAT command level to define any submatrix by an arbitrary sequence of additions, deletions and reversals. Syntactic explanations and a schema view are also illustrated. Chapter 4 goes through some elementary exercises to demonstrate computer assisted analysis and introduce additional conventions of the ANALYZE language. Besides simple queries, it demonstrates the INTERPRT command, which automates the analysis process and gives English explanations of results. The last 2 exercises are diagnoses of elementary infeasible instances of a particular model. Chapter 5 progresses to some advanced uses of ANALYZE. The first is blocking to obtain macro views of the model and for finding embedded substructures, like a netform. The second is showing rates of substitution described by the basic equations. Then, the use of the REDUCE and BASIS commands are illustrated for a variety of applications, including solution analysis, infeasibility diagnosis, and redundancy detection.
Publisher: Springer Science & Business Media
ISBN: 1461532485
Category : Business & Economics
Languages : en
Pages : 276
Book Description
Welcome to ANALYZE, designed to provide computer assistance for analyzing linear programs and their solutions. Chapter 1 gives an overview of ANALYZE and how to install it. It also describes how to get started and how to obtain further documentation and help on-line. Chapter 2 reviews the forms of linear programming models and describes the syntax of a model. One of the routine, but important, functions of ANALYZE is to enable convenient access to rows and columns in the matrix by conditional delineation. Chapter 3 illustrates simple queries, like DISPLAY, LIST, and PICTURE. This chapter also introduces the SUBMAT command level to define any submatrix by an arbitrary sequence of additions, deletions and reversals. Syntactic explanations and a schema view are also illustrated. Chapter 4 goes through some elementary exercises to demonstrate computer assisted analysis and introduce additional conventions of the ANALYZE language. Besides simple queries, it demonstrates the INTERPRT command, which automates the analysis process and gives English explanations of results. The last 2 exercises are diagnoses of elementary infeasible instances of a particular model. Chapter 5 progresses to some advanced uses of ANALYZE. The first is blocking to obtain macro views of the model and for finding embedded substructures, like a netform. The second is showing rates of substitution described by the basic equations. Then, the use of the REDUCE and BASIS commands are illustrated for a variety of applications, including solution analysis, infeasibility diagnosis, and redundancy detection.
Simulation and Model-Based Methodologies: An Integrative View
Author: Tuncer I. Ören
Publisher: Springer Science & Business Media
ISBN: 3642821448
Category : Computers
Languages : en
Pages : 644
Book Description
NATO Advanced Institute Ottawa, Ontario/ Canada, July 26 - August 6, 1982
Publisher: Springer Science & Business Media
ISBN: 3642821448
Category : Computers
Languages : en
Pages : 644
Book Description
NATO Advanced Institute Ottawa, Ontario/ Canada, July 26 - August 6, 1982
Advances in Sensitivity Analysis and Parametric Programming
Author: Tomas Gal
Publisher: Springer Science & Business Media
ISBN: 1461561035
Category : Business & Economics
Languages : en
Pages : 595
Book Description
The standard view of Operations Research/Management Science (OR/MS) dichotomizes the field into deterministic and probabilistic (nondeterministic, stochastic) subfields. This division can be seen by reading the contents page of just about any OR/MS textbook. The mathematical models that help to define OR/MS are usually presented in terms of one subfield or the other. This separation comes about somewhat artificially: academic courses are conveniently subdivided with respect to prerequisites; an initial overview of OR/MS can be presented without requiring knowledge of probability and statistics; text books are conveniently divided into two related semester courses, with deterministic models coming first; academics tend to specialize in one subfield or the other; and practitioners also tend to be expert in a single subfield. But, no matter who is involved in an OR/MS modeling situation (deterministic or probabilistic - academic or practitioner), it is clear that a proper and correct treatment of any problem situation is accomplished only when the analysis cuts across this dichotomy.
Publisher: Springer Science & Business Media
ISBN: 1461561035
Category : Business & Economics
Languages : en
Pages : 595
Book Description
The standard view of Operations Research/Management Science (OR/MS) dichotomizes the field into deterministic and probabilistic (nondeterministic, stochastic) subfields. This division can be seen by reading the contents page of just about any OR/MS textbook. The mathematical models that help to define OR/MS are usually presented in terms of one subfield or the other. This separation comes about somewhat artificially: academic courses are conveniently subdivided with respect to prerequisites; an initial overview of OR/MS can be presented without requiring knowledge of probability and statistics; text books are conveniently divided into two related semester courses, with deterministic models coming first; academics tend to specialize in one subfield or the other; and practitioners also tend to be expert in a single subfield. But, no matter who is involved in an OR/MS modeling situation (deterministic or probabilistic - academic or practitioner), it is clear that a proper and correct treatment of any problem situation is accomplished only when the analysis cuts across this dichotomy.
Mathematical Modeling and Optimization
Author: Tony Hürlimann
Publisher: Springer Science & Business Media
ISBN: 147575793X
Category : Mathematics
Languages : en
Pages : 323
Book Description
Computer-based mathematical modeling - the technique of representing and managing models in machine-readable form - is still in its infancy despite the many powerful mathematical software packages already available which can solve astonishingly complex and large models. On the one hand, using mathematical and logical notation, we can formulate models which cannot be solved by any computer in reasonable time - or which cannot even be solved by any method. On the other hand, we can solve certain classes of much larger models than we can practically handle and manipulate without heavy programming. This is especially true in operations research where it is common to solve models with many thousands of variables. Even today, there are no general modeling tools that accompany the whole modeling process from start to finish, that is to say, from model creation to report writing. This book proposes a framework for computer-based modeling. More precisely, it puts forward a modeling language as a kernel representation for mathematical models. It presents a general specification for modeling tools. The book does not expose any solution methods or algorithms which may be useful in solving models, neither is it a treatise on how to build them. No help is intended here for the modeler by giving practical modeling exercises, although several models will be presented in order to illustrate the framework. Nevertheless, a short introduction to the modeling process is given in order to expound the necessary background for the proposed modeling framework.
Publisher: Springer Science & Business Media
ISBN: 147575793X
Category : Mathematics
Languages : en
Pages : 323
Book Description
Computer-based mathematical modeling - the technique of representing and managing models in machine-readable form - is still in its infancy despite the many powerful mathematical software packages already available which can solve astonishingly complex and large models. On the one hand, using mathematical and logical notation, we can formulate models which cannot be solved by any computer in reasonable time - or which cannot even be solved by any method. On the other hand, we can solve certain classes of much larger models than we can practically handle and manipulate without heavy programming. This is especially true in operations research where it is common to solve models with many thousands of variables. Even today, there are no general modeling tools that accompany the whole modeling process from start to finish, that is to say, from model creation to report writing. This book proposes a framework for computer-based modeling. More precisely, it puts forward a modeling language as a kernel representation for mathematical models. It presents a general specification for modeling tools. The book does not expose any solution methods or algorithms which may be useful in solving models, neither is it a treatise on how to build them. No help is intended here for the modeler by giving practical modeling exercises, although several models will be presented in order to illustrate the framework. Nevertheless, a short introduction to the modeling process is given in order to expound the necessary background for the proposed modeling framework.