An Algorithm of 0-1 Knapsack Problem Based on Economic Model

Yingying  Tian; Jianhui  Lv; Liang  Zheng

doi:10.4236/jamp.2013.14006

Yingying Tian^*, Jianhui Lv, Liang Zheng

Abstract: In order to optimize the knapsack problem further, this paper proposes an innovative model based on dynamic expectation efficiency, and establishes a new optimization algorithm of 0-1 knapsack problem after analysis and research. Through analyzing the study of 30 groups of 0-1 knapsack problem from discrete coefficient of the data, we can find that dynamic expectation model can solve the following two types of knapsack problem. Compared to artificial glowworm swam algorithm, the convergence speed of this algorithm is ten times as fast as that of artificial glowworm swam algorithm, and the storage space of this algorithm is one quarter that of artificial glowworm swam algorithm. To sum up, it can be widely used in practical problems.

Keywords: 0-1 Knapsack; Economic Model; Optimization Algorithm; Storage Space

Cite this paper: Tian, Y. , Lv, J. and Zheng, L. (2013) An Algorithm of 0-1 Knapsack Problem Based on Economic Model. Journal of Applied Mathematics and Physics, 1, 31-35. doi: 10.4236/jamp.2013.14006.

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