资源论文Exploiting Decomposition on Constraint Problems with High Tree-Width

Exploiting Decomposition on Constraint Problems with High Tree-Width

2019-11-15 | |  68 |   38 |   0

Abstract Decomposition is an effective technique for solving discrete Constraint Optimization Problems (COPs) with low tree-width. On problems with high treewidth, however, existing decomposition algorithms offer little advantage over branch and bound search (B&B). In this paper we propose a method for exploiting decomposition on problems with high treewidth. Our technique involves modifying B&B to detect and exploit decomposition on a selected subset of the problem’s objectives. Decompositions over this subset, generated during search, are exploited to compute tighter bounds allowing B&B to prune more of its search space. We present a heuristic for selecting an appropriate subset of objectives—one that readily decomposes during search and yet can still provide good bounds. We demonstrate empirically that our approach can signifificantly improve B&B’s performance and outperform standard decomposition algorithms on a variety of high tree-width problems

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