Construction of an ROBDD for a PB-Constraint in Band Form and Related Techniques for PB-Solvers
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- SAKAI Masahiko
- Graduate School of Information Science, Nagoya University
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- NABESHIMA Hidetomo
- Interdisciplinary Graduate School of Medicine and Engineering, University of Yamanashi
Abstract
Pseudo-Boolean (PB) problems are Integer Linear Problem restricted to 0-1 variables. This paper discusses on acceleration techniques of PB-solvers that employ SAT-solving of combined CNFs each of which is produced from each PB-constraint via a binary decision diagram (BDD). Specifically, we show (i) an efficient construction of a reduced ordered BDD (ROBDD) from a constraint in band form l ≤ <Linear term> ≤ h, (ii) a CNF coding that produces two clauses for some nodes in an ROBDD obtained by (i), and (iii) an incremental SAT-solving of the binary/alternative search for minimizing values of a given goal function. We implemented the proposed constructions and report on experimental results.
Journal
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- IEICE Transactions on Information and Systems
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IEICE Transactions on Information and Systems E98.D (6), 1121-1127, 2015
The Institute of Electronics, Information and Communication Engineers
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Details 詳細情報について
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- CRID
- 1390001204378476288
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- NII Article ID
- 130005072390
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- ISSN
- 17451361
- 09168532
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- Text Lang
- en
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- Data Source
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- JaLC
- Crossref
- CiNii Articles
- KAKEN
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- Abstract License Flag
- Disallowed