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Annals of Operations Research

, Volume 130, Issue 1–4, pp 41–56 | Cite as

Constraint Programming and Hybrid Formulations for Three Life Designs

  • Robert Bosch
  • Michael Trick
Article

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.

integer programming constraint programming hybrid formulation cellular automata game of Life 

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Copyright information

© Kluwer Academic Publishers 2004

Authors and Affiliations

  • Robert Bosch
    • 1
  • Michael Trick
    • 2
  1. 1.Department of MathematicsOberlin CollegeOberlinUSA
  2. 2.Graduate School of Industrial AdministrationCarnegie Mellon UniversityPittsburghUSA

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