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Disjunctive Programming

2018-11-27 Mathematics
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Release : 2018-11-27
Genre : Mathematics
Kind : eBook
Book Rating : 482/5 ( reviews)

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Book Synopsis Disjunctive Programming by : Egon Balas

Download or read book Disjunctive Programming written by Egon Balas. This book was released on 2018-11-27. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Foundations of Disjunctive Logic Programming

1992 Logic programming
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Release : 1992
Genre : Logic programming
Kind : eBook
Book Rating : 651/5 ( reviews)

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Book Synopsis Foundations of Disjunctive Logic Programming by : Jorge Lobo

Download or read book Foundations of Disjunctive Logic Programming written by Jorge Lobo. This book was released on 1992. Available in PDF, EPUB and Kindle. Book excerpt:

Optimization with Disjunctive Constraints

2012-12-06 Business & Economics
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Release : 2012-12-06
Genre : Business & Economics
Kind : eBook
Book Rating : 947/5 ( reviews)

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Book Synopsis Optimization with Disjunctive Constraints by : H.D. Sherali

Download or read book Optimization with Disjunctive Constraints written by H.D. Sherali. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Disjunctive Logic Programming

1994 Disjunction (Logic)
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Release : 1994
Genre : Disjunction (Logic)
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Disjunctive Logic Programming by : Jorge Lobo

Download or read book Disjunctive Logic Programming written by Jorge Lobo. This book was released on 1994. Available in PDF, EPUB and Kindle. Book excerpt:

Pyomo – Optimization Modeling in Python

2012-02-15 Mathematics
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Release : 2012-02-15
Genre : Mathematics
Kind : eBook
Book Rating : 26X/5 ( reviews)

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Book Synopsis Pyomo – Optimization Modeling in Python by : William E. Hart

Download or read book Pyomo – Optimization Modeling in Python written by William E. Hart. This book was released on 2012-02-15. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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