Constrained-Based Problem Decomposition for a Key Configuration Problem

  • Authors:
  • Ulrich Junker

  • Affiliations:
  • -

  • Venue:
  • CP '98 Proceedings of the 4th International Conference on Principles and Practice of Constraint Programming
  • Year:
  • 1998

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Abstract

Finding good problem decompositions is crucial for solving large-scale key/lock configuration problems. We present a novel approach to problem decomposition where the detection of a subproblem hierarchy is formulated as a constraint satisfaction problem (CSP) on set variables. Primitive constraints on set variables such as an inverse and a union-overset-constraint are used to formalize properties of trees and to ensure that solutions of these CSPs represent a tree. An objective for optimizing properties of the tree is presented as well. Experimental results from an industrial prototype are reported.