Heuristics to Optimize the Variable Ordering in Binary Decision Diagrams PDF Download
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Author: Marvin Caspar
Publisher: GRIN Verlag
ISBN: 3346517241
Category : Computers
Languages : en
Pages : 26
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Book Description
Seminar paper from the year 2019 in the subject Computer Science - Commercial Information Technology, grade: 1,0, University of Kaiserslautern, language: English, abstract: In this paper, two fault trees are examined, for which five heuristics are applied to evaluate and compare their effectiveness. The arrangement of variables in a Binary Decision Diagram (BDD) determines the size of the BDD after applying reduction rules and thus plays a decisive role in finding a compact representation of the Boolean function. Since there are already many possible arrangements with only a few variables and techniques for finding the optimal solution requiring too much time, the use of heuristics is needed. The main focus is on known approaches and especially on the dynamic method of the sifting algorithm.
Author: Marvin Caspar
Publisher: GRIN Verlag
ISBN: 3346517241
Category : Computers
Languages : en
Pages : 26
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Book Description
Seminar paper from the year 2019 in the subject Computer Science - Commercial Information Technology, grade: 1,0, University of Kaiserslautern, language: English, abstract: In this paper, two fault trees are examined, for which five heuristics are applied to evaluate and compare their effectiveness. The arrangement of variables in a Binary Decision Diagram (BDD) determines the size of the BDD after applying reduction rules and thus plays a decisive role in finding a compact representation of the Boolean function. Since there are already many possible arrangements with only a few variables and techniques for finding the optimal solution requiring too much time, the use of heuristics is needed. The main focus is on known approaches and especially on the dynamic method of the sifting algorithm.
Author: Lisa Marie Bartlett
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: David Bergman
Publisher: Springer
ISBN: 3319428497
Category : Computers
Languages : en
Pages : 262
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Book Description
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]
Author: Jim-Eng Ng
Publisher:
ISBN:
Category :
Languages : en
Pages : 58
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Book Description
Fault Tree is a well-known way of expressing failure combinations of a system. The Fault Tree analysis process, however, is computationally expensive and time consuming as the size of a Fault Tree increases. Binary Decision Diagram (BDD) is a Directed Acyclic Graph (DAG) encoding of a Fault Tree. This has been shown to be the most effective way of evaluating a Fault Tree. The encoding method employs an If-Then-Else (ite) methodology to represent the functionality of a system based on its events. The only drawback of BDD is that the size of the diagram is highly dependent on the ordering of the events that are used in the process of analysis. This paper inspects the relationship of the factors that affect the events ordering and present an ordering heuristic that will yield a reasonable size of BDD for all different formation of Fault Trees. Random trees are generated to experiment using simulation with a given number of events and gates. The BDD analysis results show that it reduces the overall sizes of a BDD for a given fault tree.
Author: SØren SØe
Publisher:
ISBN:
Category : Binary system (Mathematics)
Languages : en
Pages : 252
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Book Description
Author: Roger Patrick Moore
Publisher:
ISBN:
Category : Computer-aided design
Languages : en
Pages : 158
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Book Description
Author: Rolf Drechsler
Publisher: Springer Science & Business Media
ISBN: 1475728921
Category : Technology & Engineering
Languages : en
Pages : 205
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Book Description
For someone with a hammer the whole world looks like a nail. Within the last 10-13 years Binar·y Decision Diagmms (BDDs) have become the state-of-the-art data structure in VLSI CAD for representation and ma nipulation of Boolean functions. Today, BDDs are widely used and in the meantime have also been integrated in commercial tools, especially in the area of verijication and synthesis. The interest in BDDs results from the fact that the data structure is generally accepted as providing a good compromise between conciseness of representation and efficiency of manipulation. With increasing number of applications, also in non CAD areas, classical methods to handle BDDs are being improved and new questions and problems evolve and have to be solved. The book should help the reader who is not familiar with BDDs (or DDs in general) to get a quick start. On the other hand it will discuss several new aspects of BDDs, e.g. with respect to minimization and implementation of a package. This will help people working with BDDs (in industry or academia) to keep informed about recent developments in this area.
Author: Pi-Fuang Chen
Publisher:
ISBN:
Category : Electronic data processing
Languages : en
Pages : 140
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Book Description
Author: Ingo Wegener
Publisher: SIAM
ISBN: 9780898719789
Category : Mathematics
Languages : en
Pages : 418
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Book Description
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.
Author: Shin-ichi Minato
Publisher: Springer Science & Business Media
ISBN: 1461313031
Category : Technology & Engineering
Languages : en
Pages : 151
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Book Description
Symbolic Boolean manipulation using binary decision diagrams (BDDs) has been successfully applied to a wide variety of tasks, particularly in very large scale integration (VLSI) computer-aided design (CAD). The concept of decision graphs as an abstract representation of Boolean functions dates back to the early work by Lee and Akers. In the last ten years, BDDs have found widespread use as a concrete data structure for symbolic Boolean manipulation. With BDDs, functions can be constructed, manipulated, and compared by simple and efficient graph algorithms. Since Boolean functions can represent not just digital circuit functions, but also such mathematical domains as sets and relations, a wide variety of CAD problems can be solved using BDDs. `Binary Decision Diagrams and Applications for VLSI CAD provides valuable information for both those who are new to BDDs as well as to long time aficionados.' -from the Foreword by Randal E. Bryant. `Over the past ten years ... BDDs have attracted the attention of many researchers because of their suitability for representing Boolean functions. They are now widely used in many practical VLSI CAD systems. ... this book can serve as an introduction to BDD techniques and ... it presents several new ideas on BDDs and their applications. ... many computer scientists and engineers will be interested in this book since Boolean function manipulation is a fundamental technique not only in digital system design but also in exploring various problems in computer science.' - from the Preface by Shin-ichi Minato.
