Decision Diagrams For Optimization

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Decision Diagrams for Optimization

David Bergman,Andre A. Cire,Willem-Jan van Hoeve,John Hooker
Decision Diagrams for Optimization Book PDF

Author : David Bergman,Andre A. Cire,Willem-Jan van Hoeve,John Hooker
Publisher : Springer
Page : 254 pages
File Size : 42,8 Mb
Release : 2016-11-01
Category : Computers
ISBN : 9783319428499

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Decision Diagrams for Optimization by David Bergman,Andre A. Cire,Willem-Jan van Hoeve,John Hooker Pdf

This book introduces a novel approach to discrete optimization, providing both theoretical insights and algorithmic developments that lead to improvements over state-of-the-art technology. The authors present chapters on the use of decision diagrams for combinatorial optimization and constraint programming, with attention to general-purpose solution methods as well as problem-specific techniques. The book will be useful for researchers and practitioners in discrete optimization and constraint programming. "Decision Diagrams for Optimization is one of the most exciting developments emerging from constraint programming in recent years. This book is a compelling summary of existing results in this space and a must-read for optimizers around the world." [Pascal Van Hentenryck]

Advanced BDD Optimization

Rudiger Ebendt,Görschwin Fey,Rolf Drechsler
Advanced BDD Optimization Book PDF

Author : Rudiger Ebendt,Görschwin Fey,Rolf Drechsler
Publisher : Springer Science & Business Media
Page : 225 pages
File Size : 48,7 Mb
Release : 2005-12-05
Category : Technology & Engineering
ISBN : 9780387254548

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Advanced BDD Optimization by Rudiger Ebendt,Görschwin Fey,Rolf Drechsler Pdf

VLSI CADhas greatly bene?ted from the use of reduced ordered Binary Decision Diagrams (BDDs) and the clausal representation as a problem of Boolean Satis?ability (SAT), e.g. in logic synthesis, ver- cation or design-for-testability. In recent practical applications, BDDs are optimized with respect to new objective functions for design space exploration. The latest trends show a growing number of proposals to fuse the concepts of BDD and SAT. This book gives a modern presentation of the established as well as of recent concepts. Latest results in BDD optimization are given, c- ering di?erent aspects of paths in BDDs and the use of e?cient lower bounds during optimization. The presented algorithms include Branch ? and Bound and the generic A -algorithm as e?cient techniques to - plore large search spaces. ? The A -algorithm originates from Arti?cial Intelligence (AI), and the EDA community has been unaware of this concept for a long time. Re- ? cently, the A -algorithm has been introduced as a new paradigm to explore design spaces in VLSI CAD. Besides AI search techniques, the book also discusses the relation to another ?eld of activity bordered to VLSI CAD and BDD optimization: the clausal representation as a SAT problem.

Spectral Interpretation of Decision Diagrams

Radomir Stankovic,Jaakko T. Astola
Spectral Interpretation of Decision Diagrams Book PDF

Author : Radomir Stankovic,Jaakko T. Astola
Publisher : Springer Science & Business Media
Page : 286 pages
File Size : 50,7 Mb
Release : 2006-04-28
Category : Computers
ISBN : 9780387217345

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Spectral Interpretation of Decision Diagrams by Radomir Stankovic,Jaakko T. Astola Pdf

Anyone who can interpret decision diagrams using the spectral approach can advance both the utility and understanding of classical DD techniques. This approach also provides a framework for developing advanced solutions for digital design and a host of other applications. Scientists, computer science and engineering professionals, and researchers with an interest in the spectral methods of representing discrete functions, as well as the foundations of logic design, will find the book a clearly explained, well-organized, and essential resource.

Branching Programs and Binary Decision Diagrams

Ingo Wegener
Branching Programs and Binary Decision Diagrams Book PDF

Author : Ingo Wegener
Publisher : SIAM
Page : 418 pages
File Size : 45,6 Mb
Release : 2000-01-01
Category : Mathematics
ISBN : 089871978X

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Branching Programs and Binary Decision Diagrams by Ingo Wegener Pdf

Finite functions (in particular, Boolean functions) play a fundamental role in computer science and discrete mathematics. This book describes representations of Boolean functions that have small size for many important functions and which allow efficient work with the represented functions. The representation size of important and selected functions is estimated, upper and lower bound techniques are studied, efficient algorithms for operations on these representations are presented, and the limits of those techniques are considered. This book is the first comprehensive description of theory and applications. Research areas like complexity theory, efficient algorithms, data structures, and discrete mathematics will benefit from the theory described in this book. The results described within have applications in verification, computer-aided design, model checking, and discrete mathematics. This is the only book to investigate the representation size of Boolean functions and efficient algorithms on these representations.

Decision Diagram Techniques for Micro- and Nanoelectronic Design Handbook

Svetlana N. Yanushkevich,D. Michael Miller,Vlad P. Shmerko,Radomir S. Stankovic
Decision Diagram Techniques for Micro and Nanoelectronic Design Handbook Book PDF

Author : Svetlana N. Yanushkevich,D. Michael Miller,Vlad P. Shmerko,Radomir S. Stankovic
Publisher : CRC Press
Page : 960 pages
File Size : 51,6 Mb
Release : 2018-10-03
Category : Technology & Engineering
ISBN : 9781351836388

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Decision Diagram Techniques for Micro- and Nanoelectronic Design Handbook by Svetlana N. Yanushkevich,D. Michael Miller,Vlad P. Shmerko,Radomir S. Stankovic Pdf

Decision diagram (DD) techniques are very popular in the electronic design automation (EDA) of integrated circuits, and for good reason. They can accurately simulate logic design, can show where to make reductions in complexity, and can be easily modified to model different scenarios. Presenting DD techniques from an applied perspective, Decision Diagram Techniques for Micro- and Nanoelectronic Design Handbook provides a comprehensive, up-to-date collection of DD techniques. Experts with more than forty years of combined experience in both industrial and academic settings demonstrate how to apply the techniques to full advantage with more than 400 examples and illustrations. Beginning with the fundamental theory, data structures, and logic underlying DD techniques, they explore a breadth of topics from arithmetic and word-level representations to spectral techniques and event-driven analysis. The book also includes abundant references to more detailed information and additional applications. Decision Diagram Techniques for Micro- and Nanoelectronic Design Handbook collects the theory, methods, and practical knowledge necessary to design more advanced circuits and places it at your fingertips in a single, concise reference.

Integration of AI and OR Techniques in Constraint Programming for Combinatorial Optimization Problems

Carla Gomes,Meinolf Sellmann
Integration of AI and OR Techniques in Constraint Programming for Combinatorial Optimization Problems Book PDF

Author : Carla Gomes,Meinolf Sellmann
Publisher : Springer
Page : 403 pages
File Size : 45,6 Mb
Release : 2013-04-11
Category : Computers
ISBN : 9783642381713

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Integration of AI and OR Techniques in Constraint Programming for Combinatorial Optimization Problems by Carla Gomes,Meinolf Sellmann Pdf

This volume is a compilation of the research program of the 10th International Conference on the Integration of Artificial Intelligence (AI) and Operations Research (OR) Techniques in Constraint Programming, CPAIOR 2013, held at Yorktown Heights, NY, USA, in May 2013. This volume contains 20 full papers and 11 short papers that were carefully reviewed and selected from 71 submissions. The papers focus on new techniques or applications in the intersection of constraint programming (CP), artificial intelligence (AI) and operations research (OR).

Decision Diagram Techniques for Micro- and Nanoelectronic Design Handbook

Svetlana N. Yanushkevich,D. Michael Miller,Vlad P. Shmerko,Radomir S. Stankovic
Decision Diagram Techniques for Micro and Nanoelectronic Design Handbook Book PDF

Author : Svetlana N. Yanushkevich,D. Michael Miller,Vlad P. Shmerko,Radomir S. Stankovic
Publisher : CRC Press
Page : 952 pages
File Size : 47,9 Mb
Release : 2018-10-03
Category : Technology & Engineering
ISBN : 9781420037586

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Decision Diagram Techniques for Micro- and Nanoelectronic Design Handbook by Svetlana N. Yanushkevich,D. Michael Miller,Vlad P. Shmerko,Radomir S. Stankovic Pdf

Decision diagram (DD) techniques are very popular in the electronic design automation (EDA) of integrated circuits, and for good reason. They can accurately simulate logic design, can show where to make reductions in complexity, and can be easily modified to model different scenarios. Presenting DD techniques from an applied perspective, Decision Diagram Techniques for Micro- and Nanoelectronic Design Handbook provides a comprehensive, up-to-date collection of DD techniques. Experts with more than forty years of combined experience in both industrial and academic settings demonstrate how to apply the techniques to full advantage with more than 400 examples and illustrations. Beginning with the fundamental theory, data structures, and logic underlying DD techniques, they explore a breadth of topics from arithmetic and word-level representations to spectral techniques and event-driven analysis. The book also includes abundant references to more detailed information and additional applications. Decision Diagram Techniques for Micro- and Nanoelectronic Design Handbook collects the theory, methods, and practical knowledge necessary to design more advanced circuits and places it at your fingertips in a single, concise reference.

Logic-Based Benders Decomposition

John Hooker
Logic Based Benders Decomposition Book PDF

Author : John Hooker
Publisher : Springer Nature
Page : 148 pages
File Size : 46,7 Mb
Release : 2023-12-20
Category : Mathematics
ISBN : 9783031450396

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Logic-Based Benders Decomposition by John Hooker Pdf

This book is the first comprehensive guide to logic-based Benders decomposition (LBBD), a general and versatile method for breaking large, complex optimization problems into components that are small enough for practical solution. The author introduces logic-based Benders decomposition for optimization, which substantially generalizes the classical Benders method. It can reduce solution times by orders of magnitude and allows decomposition to be applied to a much wider variety of optimization problems. On the theoretical side, this book provides a full account of inference duality concepts that underlie LBBD, as well as a description of how LBBD can be combined with stochastic and robust optimization, heuristic methods, and decision diagrams. It also clarifies the connection between LBBD and combinatorial Benders cuts for mixed integer programming. On the practical side, it explains how LBBD has been applied to a rapidly growing variety of problem domains. After describing basic theory, this book provides a comprehensive review of the rapidly growing literature that describes these applications, in each case explaining how LBBD is adapted to the problem at hand. In doing so this work provides a sourcebook of ideas for applying LBBD to new problems as they arise.

Applications of Zero-Suppressed Decision Diagrams

Tsutomu Sasao,Jon T. Butler
Applications of Zero Suppressed Decision Diagrams Book PDF

Author : Tsutomu Sasao,Jon T. Butler
Publisher : Morgan & Claypool Publishers
Page : 123 pages
File Size : 45,9 Mb
Release : 2014-11-01
Category : Technology & Engineering
ISBN : 9781627056502

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Applications of Zero-Suppressed Decision Diagrams by Tsutomu Sasao,Jon T. Butler Pdf

A zero-suppressed decision diagram (ZDD) is a data structure to represent objects that typically contain many zeros. Applications include combinatorial problems, such as graphs, circuits, faults, and data mining. This book consists of four chapters on the applications of ZDDs. The first chapter by Alan Mishchenko introduces the ZDD. It compares ZDDs to BDDs, showing why a more compact representation is usually achieved in a ZDD. The focus is on sets of subsets and on sum-of-products (SOP) expressions. Methods to generate all the prime implicants (PIs), and to generate irredundant SOPs are shown. A list of papers on the applications of ZDDs is also presented. In the appendix, ZDD procedures in the CUDD package are described. The second chapter by Tsutomu Sasao shows methods to generate PIs and irredundant SOPs using a divide and conquer method. This chapter helps the reader to understand the methods presented in the first chapter. The third chapter by Shin-Ichi Minato introduces the "frontier-based" method that efficiently enumerates certain subsets of a graph. The final chapter by Shinobu Nagayama shows a method to match strings of characters. This is important in routers, for example, where one must match the address information of an internet packet to the proprer output port. It shows that ZDDs are more compact than BDDs in solving this important problem. Each chapter contains exercises, and the appendix contains their solutions. Table of Contents: Preface / Acknowledgments / Introduction to Zero-Suppressed Decision Diagrams / Efficient Generation of Prime Implicants and Irredundant Sum-of-Products Expressions / The Power of Enumeration--BDD/ZDD-Based Algorithms for Tackling Combinatorial Explosion / Regular Expression Matching Using Zero-Suppressed Decision Diagrams / Authors' and Editors' Biographies / Index

Heuristic and Exact Optimization of Reduced Ordered Binary Decision Diagrams (BDDs)

Rüdiger Ebendt
Heuristic and Exact Optimization of Reduced Ordered Binary Decision Diagrams BDDs Book PDF

Author : Rüdiger Ebendt
Publisher : Unknown
Page : 147 pages
File Size : 41,5 Mb
Release : 2004
Category : Electronic
ISBN : 393772902X

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Heuristic and Exact Optimization of Reduced Ordered Binary Decision Diagrams (BDDs) by Rüdiger Ebendt Pdf

Computer-Aided Design of Very Large Scale Integrated Circuits (VLSI CAD) has greatly benefited from the use of reduced ordered Binary Decision Diagrams (BDDs), e.g. in logic synthesis, verification or design-for-testability. In recent methods, BDDs are optimized with respect to new objective functions, exploring the respective design spaces. Today, design space exploration and multi-objective design goals are important for many applications. New algorithms for BDD optimization have to be considered. This book is dedicated to the idea of moving towards new optimization goals and design spaces different from those considered so far. The book closes the gap between theory and practice by transferring the latest theoretical insights into recent practical applications. In this, a solid, thorough analysis of the theory is presented, which is completed by experimental studies. The basic concepts have been known and understood for a short time, and they will have wide impact on further developments in the field. As logic synthesis, verification and design-for-testability are "standard" topics in graduate courses, the book also can be used as a text book for advanced courses in this field.

Principles and Practice of Constraint Programming

J. Christopher Beck
Principles and Practice of Constraint Programming Book PDF

Author : J. Christopher Beck
Publisher : Springer
Page : 724 pages
File Size : 43,9 Mb
Release : 2017-08-22
Category : Mathematics
ISBN : 9783319661582

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Principles and Practice of Constraint Programming by J. Christopher Beck Pdf

This book constitutes the refereed conference proceedings of the 23nd International Conference on Principles and Practice of Constraint Programming, CP 2017, held in Melbourne, Australia from August 28, 2017 until September 1, 2017. The conference is colocated with the 20th International Conference on Theory and Applications of Satisfiability Testing (SAT 2017) and the 33rd International Conference on Logic Programming. The 46 revised full papers presented were carefully reviewed and selected from 115 submissions. The scope of the contributions includes all aspects of computing with constraints, including theory, algorithms, environments, languages, models, systems, and applications such as decision making, resource al location, scheduling, configuration, and planning. The papers are grouped into the following tracks: technical track; application track; machine learning & CP track; operations research & CP track; satisfiability & CP track, test and verification & CP track; journal & sister conference track.

Integration of Constraint Programming, Artificial Intelligence, and Operations Research

Peter J. Stuckey
Integration of Constraint Programming Artificial Intelligence and Operations Research Book PDF

Author : Peter J. Stuckey
Publisher : Springer Nature
Page : 468 pages
File Size : 51,8 Mb
Release : 2021-06-17
Category : Computers
ISBN : 9783030782306

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Integration of Constraint Programming, Artificial Intelligence, and Operations Research by Peter J. Stuckey Pdf

This volume LNCS 12735 constitutes the papers of the 18th International Conference on the Integration of Constraint Programming, Artificial Intelligence, and Operations Research, CPAIOR 2021, which was held in Vienna, Austria, in 2021. Due to the COVID-19 pandemic the conference was held online. The 30 regular papers presented were carefully reviewed and selected from a total of 75 submissions. The conference program included a Master Class on the topic "Explanation and Verification of Machine Learning Models".

Integration of Constraint Programming, Artificial Intelligence, and Operations Research

Louis-Martin Rousseau,Kostas Stergiou
Integration of Constraint Programming Artificial Intelligence and Operations Research Book PDF

Author : Louis-Martin Rousseau,Kostas Stergiou
Publisher : Springer
Page : 662 pages
File Size : 50,5 Mb
Release : 2019-05-28
Category : Computers
ISBN : 9783030192129

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Integration of Constraint Programming, Artificial Intelligence, and Operations Research by Louis-Martin Rousseau,Kostas Stergiou Pdf

This book constitutes the proceedings of the 16th International Conference on Integration of Constraint Programming, Artificial Intelligence, and Operations Research, CPAIOR 2019, held in Thessaloniki, Greece, in June 2019. The 34 full papers presented together with 9 short papers were carefully reviewed and selected from 94 submissions. The conference brings together interested researchers from Constraint Programming (CP), Artificial Intelligence (AI), and Operations Research (OR) to present new techniques or applications and to provide an opportunity for researchers in one area to learn about techniques in the others. A main objective of this conference series is also to give these researchers the opportunity to show how the integration of techniques from different fields can lead to interesting results on large and complex problems.

Logic Synthesis and Optimization

Tsutomu Sasao
Logic Synthesis and Optimization Book PDF

Author : Tsutomu Sasao
Publisher : Springer Science & Business Media
Page : 382 pages
File Size : 46,8 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781461531548

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Logic Synthesis and Optimization by Tsutomu Sasao Pdf

Logic Synthesis and Optimization presents up-to-date research information in a pedagogical form. The authors are recognized as the leading experts on the subject. The focus of the book is on logic minimization and includes such topics as two-level minimization, multi-level minimization, application of binary decision diagrams, delay optimization, asynchronous circuits, spectral method for logic design, field programmable gate array (FPGA) design, EXOR logic synthesis and technology mapping. Examples and illustrations are included so that each contribution can be read independently. Logic Synthesis and Optimization is an indispensable reference for academic researchers as well as professional CAD engineers.

Principles and Practice of Constraint Programming

Thomas Schiex,Simon de Givry
Principles and Practice of Constraint Programming Book PDF

Author : Thomas Schiex,Simon de Givry
Publisher : Springer Nature
Page : 788 pages
File Size : 46,8 Mb
Release : 2019-09-23
Category : Mathematics
ISBN : 9783030300487

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Principles and Practice of Constraint Programming by Thomas Schiex,Simon de Givry Pdf

This book constitutes the proceedings of the 25th International Conference on Principles and Practice of Constraint Programming, CP 2019, held in Stamford, CT, USA, France, in September/October 2019. The 44 full papers presented in this volume were carefully reviewed and selected from 118 submissions. They deal with all aspects of computing with constraints including theory, algorithms, environments, languages, models, systems, and applications such as decision making, resource allocation, scheduling, configuration, and planning. The papers were organized according to the following topics/tracks: technical track; application track; multi-agent and parallel CP track; testing and verification track; CP and data science track; computational sustainability; and CP and life sciences track.