Using Relaxations in Maximum Density Still Life

作者: Geoffrey Chu , Peter J. Stuckey , Maria Garcia de la Banda

DOI: 10.1007/978-3-642-04244-7_22

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摘要: The Maximum Density Sill-Life Problem is to fill an n × board of cells with the maximum number live so that stable under rules Conway's Game Life. We reformulate problem into one minimising "wastage" rather than maximising cells. This reformulation allows us compute strong upper bounds on By combining this several relaxation techniques, as well exploiting symmetries via caching, we are able find close optimal solutions up size = 100, and for instances large 69. best previous method could only 20.

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