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CPAIOR
2011
Springer

Manipulating MDD Relaxations for Combinatorial Optimization

13 years 2 months ago
Manipulating MDD Relaxations for Combinatorial Optimization
Abstract. We study the application of limited-width MDDs (multivalued decision diagrams) as discrete relaxations for combinatorial optimization problems. These relaxations are used for the purpose of generating lower bounds. We introduce a new compilation method for constructing such MDDs, as well as algorithms that manipulate the MDDs to obtain stronger relaxations and hence provide stronger lower bounds. We apply our methodology to set covering problems, and evaluate the strength of MDD relaxations to relaxations based on linear programming. Our experimental results indicate that the MDD relaxation is particularly effective on structured problems, being able to outperform state-ofthe-art integer programming technology by several orders of magnitude.
David Bergman, Willem Jan van Hoeve, John N. Hooke
Added 27 Aug 2011
Updated 27 Aug 2011
Type Journal
Year 2011
Where CPAIOR
Authors David Bergman, Willem Jan van Hoeve, John N. Hooker
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