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Author: Egon Balas
Publisher: Springer
ISBN: 3030001482
Category : Mathematics
Languages : en
Pages : 238
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Book Description
Disjunctive Programming is a technique and a discipline initiated by the author in the early 1970's, which has become a central tool for solving nonconvex optimization problems like pure or mixed integer programs, through convexification (cutting plane) procedures combined with enumeration. It has played a major role in the revolution in the state of the art of Integer Programming that took place roughly during the period 1990-2010. The main benefit that the reader may acquire from reading this book is a deeper understanding of the theoretical underpinnings and of the applications potential of disjunctive programming, which range from more efficient problem formulation to enhanced modeling capability and improved solution methods for integer and combinatorial optimization. Egon Balas is University Professor and Lord Professor of Operations Research at Carnegie Mellon University's Tepper School of Business.
Author: Egon Balas
Publisher: Springer
ISBN: 3030001482
Category : Mathematics
Languages : en
Pages : 238
Get Book Here
Book Description
Disjunctive Programming is a technique and a discipline initiated by the author in the early 1970's, which has become a central tool for solving nonconvex optimization problems like pure or mixed integer programs, through convexification (cutting plane) procedures combined with enumeration. It has played a major role in the revolution in the state of the art of Integer Programming that took place roughly during the period 1990-2010. The main benefit that the reader may acquire from reading this book is a deeper understanding of the theoretical underpinnings and of the applications potential of disjunctive programming, which range from more efficient problem formulation to enhanced modeling capability and improved solution methods for integer and combinatorial optimization. Egon Balas is University Professor and Lord Professor of Operations Research at Carnegie Mellon University's Tepper School of Business.
Author: H.D. Sherali
Publisher: Springer Science & Business Media
ISBN: 3642487947
Category : Business & Economics
Languages : en
Pages : 168
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Book Description
The disjunctive cut principle of Balas and Jeroslow, and the related polyhedral annexation principle of Glover, provide new insights into cutting plane theory. This has resulted in its ability to not only subsume many known valid cuts but also improve upon them. Originally a set of notes were written for the purpose of putting together in a common terminology and framework significant results of Glover and others using a geometric approach, referred to in the literature as convexity cuts, and the algebraic approach of Balas and Jeroslow known as Disjunctive cuts. As it turned out subsequently the polyhedral annexation approach of Glover is also closely connected with the basic disjunctive principle of Balas and Jeroslow. In this monograph we have included these results and have also added several published results which seem to be of strong interest to researchers in the area of developing strong cuts for disjunctive programs. In particular, several results due to Balas [4,5,6,7], Glover [18,19] and Jeroslow [23,25,26] have been used in this monograph. The appropriate theorems are given without proof. The notes also include several results yet to be published [32,34,35] obtained under a research contract with the National Science Foundation to investigate solution methods for disjunctive programs. The monograph is self-contained and complete in the sense that it attempts to pool together existing results which the authors viewed as important to future research on optimization using the disjunctive cut approach.
Author: William E. Hart
Publisher: Springer Science & Business Media
ISBN: 146143226X
Category : Mathematics
Languages : en
Pages : 245
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Book Description
This book provides a complete and comprehensive reference/guide to Pyomo (Python Optimization Modeling Objects) for both beginning and advanced modelers, including students at the undergraduate and graduate levels, academic researchers, and practitioners. The text illustrates the breadth of the modeling and analysis capabilities that are supported by the software and support of complex real-world applications. Pyomo is an open source software package for formulating and solving large-scale optimization and operations research problems. The text begins with a tutorial on simple linear and integer programming models. A detailed reference of Pyomo's modeling components is illustrated with extensive examples, including a discussion of how to load data from data sources like spreadsheets and databases. Chapters describing advanced modeling capabilities for nonlinear and stochastic optimization are also included. The Pyomo software provides familiar modeling features within Python, a powerful dynamic programming language that has a very clear, readable syntax and intuitive object orientation. Pyomo includes Python classes for defining sparse sets, parameters, and variables, which can be used to formulate algebraic expressions that define objectives and constraints. Moreover, Pyomo can be used from a command-line interface and within Python's interactive command environment, which makes it easy to create Pyomo models, apply a variety of optimizers, and examine solutions. The software supports a different modeling approach than commercial AML (Algebraic Modeling Languages) tools, and is designed for flexibility, extensibility, portability, and maintainability but also maintains the central ideas in modern AMLs.
Author: Lua-S Moniz Pereira
Publisher: MIT Press
ISBN: 9780262660839
Category : Logic programming
Languages : en
Pages : 518
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Book Description
This is the second in a series of workshops that are bringing together researchers from the theoretical end of both the logic programming and artificial intelligence communities to discuss their mutual interests. This workshop emphasizes the relationship between logic programming and non-monotonic reasoning.Luis' Moniz Pereira is Professor in the Department of Computer Science at the Universidade Nova Lisboa, Portugal. Anil Nerode is Professor and Director of the Mathematical Sciences Institute at Cornell University.Topics include: Stable Semantics. Autoepistemic Logic. Abduction. Implementation Issues. Well-founded Semantics. Truth Maintenance. Probabilistic Theories. Applications. Default Logic. Diagnosis. Complexity and Theory. Handling Inconsistency.
Author: Thomas Eiter
Publisher: Springer
ISBN: 3540454020
Category : Computers
Languages : en
Pages : 460
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Book Description
This book constitutes the refereed proceedings of the 6th International Conference on Logic Programming and Nonmonotonic Reasoning, LPNMR 2001, held in Vienna, Austria in September 2001. The 22 revised full papers and eleven system descriptions presented with five invited papers were carefully reviewed and rigorously selected. Among the topics addressed are computational logic, declarative information extraction, model checking, inductive logic programming, default theories, stable logic programming, program semantics, incomplete information processing, concept learning, declarative specification, Prolog programming, many-valued logics, etc.
Author: Vladimir Lifschitz
Publisher: Springer Science & Business Media
ISBN: 354020721X
Category : Computers
Languages : en
Pages : 375
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Book Description
This book constitutes the refereed proceedings of the 7th International Conference on Logic Programming and Nonmonotonic Reasoning, LPNMR 2004, held in Fort Lauderdale, Florida, USA in January 2004. The 24 revised full papers presented together with 8 system descriptions were carefully reviewed and selected for presentation. Among the topics addressed are declarative logic programming, nonmonotonic reasoning, knowledge representation, combinatorial search, answer set programming, constraint programming, deduction in ontologies, and planning.
Author: Louis M. Pereira
Publisher: Springer Science & Business Media
ISBN: 9783540594673
Category : Computers
Languages : en
Pages : 248
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Book Description
This volume is based on papers presented during the ICLP '94 Workshop on Nonmonotonic Extensions of Logic Programming and on papers solicited afterwards from key researchers participating in the workshop. In total 10 carefully refereed, revised, full research papers on semantics and computational aspects of logic programs are included. Logic programs rely on a nonmonotonic operator often referred to as negation by failure or negation by default. The nonmonoticity of this operator allows to apply results from the area of nonmonotonic theories to the investigation of logic programs (and vice versa). This volume is devoted to the interdependence of nonmonotonic formalisms and logic programming.
Author:
Publisher: Elsevier
ISBN: 0080867677
Category : Mathematics
Languages : en
Pages : 461
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Book Description
Discrete Optimization I
Author: David S. Warren
Publisher: MIT Press
ISBN: 9780262731058
Category : Computers
Languages : en
Pages : 884
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Book Description
The Tenth International Conference on Logic Programming, sponsored by the Association for Logic Programming, is a major forum for presentations of research, applications, and implementations in this important area of computer science. Logic programming is one of the most promising steps toward declarative programming and forms the theoretical basis of the programming language Prolog and it svarious extensions. Logic programming is also fundamental to work in artificial intelligence, where it has been used for nonmonotonic and commonsense reasoning, expert systems implementation, deductive databases, and applications such as computer-aided manufacturing.David S. Warren is Professor of Computer Science at the State University of New York, Stony Brook.Topics covered: Theory and Foundations. Programming Methodologies and Tools. Meta and Higher-order Programming. Parallelism. Concurrency. Deductive Databases. Implementations and Architectures. Applications. Artificial Intelligence. Constraints. Partial Deduction. Bottom-Up Evaluation. Compilation Techniques.
Author: Chitta Baral
Publisher: Springer
ISBN: 3540722009
Category : Computers
Languages : en
Pages : 336
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Book Description
This book constitutes the refereed proceedings of the 9th International Conference on Logic Programming and Nonmonotonic Reasoning, LPNMR 2007, held in Tempe, AZ, USA, May 2007. This conference encompasses theoretical studies, design and implementation of logic based programming languages and database systems, and development of experimental systems.
