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A polynomial-time DNA computing solution for the bin-packing problem. (English) Zbl 1191.68309
Summary: We suggest here an algorithm based on stickers for the DNA computing model [{\it S. Roweis} et al., “A sticker-based model for DNA computation”, Discrete Math. Theor. Comput. Sci. 44, 1--29 (1999; Zbl 0919.68027)] that solves the well-known Bin-Packing Problem (BPP), that belongs to the class of NP-hard problems in the strong sense, in time bounded by $O(n^2q)$, where $n$ is the quantity of items and $q$ the space requirements expressed in bits. To the best of the authors’ knowledge, this is the first polynomial-time algorithmic solution for BPP in such a model.

68Q05Models of computation (Turing machines, etc.)
68Q10Modes of computation
68W10Parallel algorithms
Full Text: DOI
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