Logic-Based Methods for Optimization
Logic-Based Methods for Optimization

Author: John Hooker

Publisher: John Wiley & Sons

Published: 2011-09-28

Total Pages: 520

ISBN-13: 1118031288

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A pioneering look at the fundamental role of logic in optimizationand constraint satisfaction While recent efforts to combine optimization and constraintsatisfaction have received considerable attention, little has beensaid about using logic in optimization as the key to unifying thetwo fields. Logic-Based Methods for Optimization develops for thefirst time a comprehensive conceptual framework for integratingoptimization and constraint satisfaction, then goes a step furtherand shows how extending logical inference to optimization allowsfor more powerful as well as flexible modeling and solutiontechniques. Designed to be easily accessible to industryprofessionals and academics in both operations research andartificial intelligence, the book provides a wealth of examples aswell as elegant techniques and modeling frameworks ready forimplementation. Timely, original, and thought-provoking,Logic-Based Methods for Optimization: * Demonstrates the advantages of combining the techniques inproblem solving * Offers tutorials in constraint satisfaction/constraintprogramming and logical inference * Clearly explains such concepts as relaxation, cutting planes,nonserial dynamic programming, and Bender's decomposition * Reviews the necessary technologies for software developersseeking to combine the two techniques * Features extensive references to important computationalstudies * And much more

Logic-Based 0–1 Constraint Programming
Logic-Based 0–1 Constraint Programming

Author: Peter Barth

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 263

ISBN-13: 1461313155

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A logic view of 0-1 integer programming problems, providing new insights into the structure of problems that can lead the researcher to more effective solution techniques depending on the problem class. Operations research techniques are integrated into a logic programming environment. The first monographic treatment that begins to unify these two methodological approaches. Logic-based methods for modelling and solving combinatorial problems have recently started to play a significant role in both theory and practice. The application of logic to combinatorial problems has a dual aspect. On one hand, constraint logic programming allows one to declaratively model combinatorial problems over an appropriate constraint domain, the problems then being solved by a corresponding constraint solver. Besides being a high-level declarative interface to the constraint solver, the logic programming language allows one also to implement those subproblems that cannot be naturally expressed with constraints. On the other hand, logic-based methods can be used as a constraint solving technique within a constraint solver for combinatorial problems modelled as 0-1 integer programs.

Constraint and Integer Programming
Constraint and Integer Programming

Author: Michela Milano

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 384

ISBN-13: 144198917X

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Constraint and Integer Programming presents some of the basic ideas of constraint programming and mathematical programming, explores approaches to integration, brings us up to date on heuristic methods, and attempts to discern future directions in this fast-moving field.

Combining AI and OR in Heuristics and Optimization
Combining AI and OR in Heuristics and Optimization

Author:

Publisher:

Published: 1997

Total Pages: 0

ISBN-13:

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Mixed logical/linear programming (MLLP) was developed as an extension of mixed integer/linear programming. What appears to be the first practical method of sensitivity analysis for mixed integer/linear programming was developed and applied to a Proctor and Gamble supply chain problem. Consistency-achieving methods of constraint programming were linked with constraint generation methods in operations research. Continuous relaxations were identified for mixed discrete/continuous optimization problems that can accelerate their solution within a logic-based approach. A research monograph, Logic-Eased Methods for Optimization, was written.

Optimization Methods for Logical Inference
Optimization Methods for Logical Inference

Author: Vijay Chandru

Publisher: John Wiley & Sons

Published: 2011-09-26

Total Pages: 386

ISBN-13: 1118031415

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Merging logic and mathematics in deductive inference-an innovative, cutting-edge approach. Optimization methods for logical inference? Absolutely, say Vijay Chandru and John Hooker, two major contributors to this rapidly expanding field. And even though "solving logical inference problems with optimization methods may seem a bit like eating sauerkraut with chopsticks. . . it is the mathematical structure of a problem that determines whether an optimization model can help solve it, not the context in which the problem occurs." Presenting powerful, proven optimization techniques for logic inference problems, Chandru and Hooker show how optimization models can be used not only to solve problems in artificial intelligence and mathematical programming, but also have tremendous application in complex systems in general. They survey most of the recent research from the past decade in logic/optimization interfaces, incorporate some of their own results, and emphasize the types of logic most receptive to optimization methods-propositional logic, first order predicate logic, probabilistic and related logics, logics that combine evidence such as Dempster-Shafer theory, rule systems with confidence factors, and constraint logic programming systems. Requiring no background in logic and clearly explaining all topics from the ground up, Optimization Methods for Logical Inference is an invaluable guide for scientists and students in diverse fields, including operations research, computer science, artificial intelligence, decision support systems, and engineering.

Principles and Practice of Constraint Programming
Principles and Practice of Constraint Programming

Author: Alan H. Borning

Publisher: Springer Science & Business Media

Published: 1994-10-12

Total Pages: 382

ISBN-13: 9783540586012

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This volume is the proceedings of the Second International Workshop on the Principles and Practice of Constraint Programming, held at Rosario, Orcas Island, Washington, USA in May 1994 in cooperation with AAAI and ALP. The volume contains 27 full revised papers selected from 87 submissions as well as a summary of a panel session on commercial applications of constraint programming. The contributions cover a broad range of topics including constraint programming languages, algorithms for constraint satisfaction and entailment, and constraints and their relation to fields such as artificial intelligence, databases, operations research, problem solving, and user interfaces.

Constraints in Computational Logics: Theory and Applications
Constraints in Computational Logics: Theory and Applications

Author: Hubert Comon

Publisher: Springer

Published: 2003-08-06

Total Pages: 321

ISBN-13: 3540454063

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Constraints provide a declarative way of representing infinite sets of data. They are well suited for combining different logical or programming paradigms as has been known for constraint logic programming since the 1980s and more recently for functional programming. The use of constraints in automated deduction is more recent and has proved to be very successful, moving the control from the meta-level to the constraints, which are now first-class objects. This monograph-like book presents six thoroughly reviewed and revised lectures given by leading researchers at the summer school organized by the ESPRIT CCL Working Group in Gif-sur-Yvette, France, in September 1999. The book offers coherently written chapters on constraints and constraint solving, constraint solving on terms, combining constraint solving, constraints and theorem proving, functional and constraint logic programming, and building industrial applications.

Handbook of Constraint Programming
Handbook of Constraint Programming

Author: Francesca Rossi

Publisher: Elsevier

Published: 2006-08-18

Total Pages: 977

ISBN-13: 0080463800

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Constraint programming is a powerful paradigm for solving combinatorial search problems that draws on a wide range of techniques from artificial intelligence, computer science, databases, programming languages, and operations research. Constraint programming is currently applied with success to many domains, such as scheduling, planning, vehicle routing, configuration, networks, and bioinformatics.The aim of this handbook is to capture the full breadth and depth of the constraint programming field and to be encyclopedic in its scope and coverage. While there are several excellent books on constraint programming, such books necessarily focus on the main notions and techniques and cannot cover also extensions, applications, and languages. The handbook gives a reasonably complete coverage of all these lines of work, based on constraint programming, so that a reader can have a rather precise idea of the whole field and its potential. Of course each line of work is dealt with in a survey-like style, where some details may be neglected in favor of coverage. However, the extensive bibliography of each chapter will help the interested readers to find suitable sources for the missing details. Each chapter of the handbook is intended to be a self-contained survey of a topic, and is written by one or more authors who are leading researchers in the area.The intended audience of the handbook is researchers, graduate students, higher-year undergraduates and practitioners who wish to learn about the state-of-the-art in constraint programming. No prior knowledge about the field is necessary to be able to read the chapters and gather useful knowledge. Researchers from other fields should find in this handbook an effective way to learn about constraint programming and to possibly use some of the constraint programming concepts and techniques in their work, thus providing a means for a fruitful cross-fertilization among different research areas.The handbook is organized in two parts. The first part covers the basic foundations of constraint programming, including the history, the notion of constraint propagation, basic search methods, global constraints, tractability and computational complexity, and important issues in modeling a problem as a constraint problem. The second part covers constraint languages and solver, several useful extensions to the basic framework (such as interval constraints, structured domains, and distributed CSPs), and successful application areas for constraint programming.- Covers the whole field of constraint programming- Survey-style chapters- Five chapters on applications

Constraints in Computational Logics. Theory and Applications
Constraints in Computational Logics. Theory and Applications

Author: Hubert Comon

Publisher: Springer Science & Business Media

Published: 2001-04-18

Total Pages: 321

ISBN-13: 3540419500

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Constraints and constraint solving : an introduction / Jean-Pierre Jouannaud / - Constraint solving on terms / Hubert Comon / - Combining constraint solving / Franz Baader / - Constraints and theorem proving / Harald Ganzinger / - Functional and constraint logic programming / Mario Rodríguez-Artalejo / - Building industrial applications with constraint programming / Helmut Simonis.