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Constraint Programming and Hybrid Formulations for Three Life Designs

Robert Bosch () and Michael Trick ()

Annals of Operations Research, 2004, vol. 130, issue 1, 56 pages

Abstract: Conway's game of Life provides an interesting testbed for exploring issues in formulation, symmetry, and optimization with constraint programming and hybrid constraint programming/integer programming methods. We consider three Life pattern-creation problems: finding maximum density still-Lifes, finding smallest immediate predecessor patterns, and finding period-2 oscillators. For the first two problems, integrating integer programming and constraint programming approaches provides a much better solution procedure than either individually. For the final problem, the constraint programming formulation provides the better approach. Copyright Kluwer Academic Publishers 2004

Keywords: integer programming; constraint programming; hybrid formulation; cellular automata; game of Life (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1023/B:ANOR.0000032569.86938.2f

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