Solving multidimensional 0–1 knapsack problem by tissue P systems with cell division

Juanjuan He, Z. Miao, Zheng Zhang, Xiaolong Shi
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引用次数: 2

Abstract

Tissue P systems with cell division are biologically inspired theoretical models of distributed and parallel computing, which provide the possibility to solve computationally hard problems in polynomial time. In this paper, we present a semi-uniform solution to the multidimensional 0–1 knapsack problem by such kind of devices, which is linear in terms of the number of variables, the number of constraint inequalities, and all coefficients related with variables.
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带细胞分裂的组织P系统求解多维0-1背包问题
具有细胞分裂的组织P系统是受分布式并行计算的生物学启发的理论模型,它提供了在多项式时间内解决计算难题的可能性。本文利用这类装置给出了多维0-1背包问题的半一致解,该解在变量数、约束不等式数和所有与变量相关的系数方面都是线性的。
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