Solving multi-objective Pseudo-Boolean problems

Lukasiewycz M, Glaß M, Haubelt C, Teich J (2007)

Publication Status: Published

Publication Type: Conference contribution

Publication year: 2007

Pages Range: 56-69

Conference Proceedings Title: Proceedings of Tenth International Conference on Theory and Applications of Satisfiability Testing (SAT 2007)

Event location: Lisbon PT

ISBN: 9783540727873

URI: https://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=38049113235&origin=inward

Abstract

Integer Linear Programs are widely used in areas such as routing problems, scheduling analysis and optimization, logic synthesis, and partitioning problems. As many of these problems have a Boolean nature, i.e., the variables are restricted to 0 and 1, so called Pseudo-Boolean solvers have been proposed. They are mostly based on SAT solvers which took continuous improvements over the past years. However, Pseudo-Boolean solvers are only able to optimize a single linear function while fulfilling several constraints. Unfortunately many real-world optimization problems have multiple objective functions which are often conflicting and have to be optimized simultaneously, resulting in general in a set of optimal solutions. As a consequence, a single-objective Pseudo-Boolean solver will not be able to find this set of optimal solutions. As a remedy, we propose three different algorithms for solving multi-objective Pseudo-Boolean problems. Our experimental results will show the applicability of these algorithms on the basis of several test cases. © Springer-Verlag Berlin Heidelberg 2007.

Authors with CRIS profile

Michael Glaß Juniorprofessur für Informatik Christian Haubelt Technische Fakultät Jürgen Teich Lehrstuhl für Informatik 12 (Hardware-Software-Co-Design)

How to cite

APA:

Lukasiewycz, M., Glaß, M., Haubelt, C., & Teich, J. (2007). Solving multi-objective Pseudo-Boolean problems. In Proceedings of Tenth International Conference on Theory and Applications of Satisfiability Testing (SAT 2007) (pp. 56-69). Lisbon, PT.

MLA:

Lukasiewycz, Martin, et al. "Solving multi-objective Pseudo-Boolean problems." Proceedings of the 10th International Conference on Theory and Applications of Satisfiability Testing, SAT 2007, Lisbon 2007. 56-69.

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