一种求解分组0-1背包问题的动态规划法 |
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引用本文:蒋亚军, 易学军.一种求解分组0-1背包问题的动态规划法[J].经济数学,2012,(1):75-78 |
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中文摘要:研究了分组0-1背包问题,提出了一种动态规划解决方法,在物品总数为n个和背包承重量为W时,递推过程的复杂度为O(nW),回溯过程的复杂度为O(n).计算实例表明利用该方法易于找到最优解. |
中文关键词:背包问题 NP完全 动态规划 |
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A Dynamic Programming Method for Classified 0-1 Knapsack Problem |
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Abstract:This paper studied the classified 0-1 knapsack problem, and proposed a dynamic programming method. The complexity of the recursive process is O(nW), and the complexity of the traceback process is O(n), where n is the total number of goods and W is the bearing weight of the knapsack. The example shows that it is easy to find the optimal solution by the method. |
keywords:Knapsack Problem NP-complete Dynamic Programming |
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