Pruning Isomorphic Structural Sub-problems in Configuration

Stephane Grandcolas; Laurent Henocque; Nicolas Prcovic

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Pruning Isomorphic Structural Sub-problems in Configuration

Stephane Grandcolas·Laurent Henocque·Nicolas Prcovic

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Abstract

Configuring consists in simulating the realization of a complex product from a catalog of component parts, using known relations between types, and picking values for object attributes. This highly combinatorial problem in the field of constraint programming has been addressed with a variety of approaches since the foundation system R1(McDermott82). An inherent difficulty in solving configuration problems is the existence of many isomorphisms among interpretations. We describe a formalism independent approach to improve the detection of isomorphisms by configurators, which does not require to adapt the problem model. To achieve this, we exploit the properties of a characteristic subset of configuration problems, called the structural sub-problem, which canonical solutions can be produced or tested at a limited cost. In this paper we present an algorithm for testing the canonicity of configurations, that can be added as a symmetry breaking constraint to any configurator. The cost and efficiency of this canonicity test are given.

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Stephane Grandcolas, Laurent Henocque, Nicolas Prcovic. 2003-06-27. Pruning Isomorphic Structural Sub-problems in Configuration. https://arxiv.org/abs/cs/0306135

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