Abstract: Hybrid Coding Greedy Differential Evolution(HCGDE) algorithm is proposed for 0-1 knapsack problem. A new operator, boundary-constraint handling operator, and a coding mapping function are embedded into the original Differential Evolution(DE) to construct a hybrid coding DE algorithm, which expands the continuous domain of DE to the discrete domain. During the evolution process, it uses the greedy transform algorithm to fix the infeasible solutions. Results of the numerical experiment show it is effective and useful in solving 0-1 knapsack problem.

Key words: 0-1 knapsack problem, boundary constraint handling operator, Hybrid Coding Greedy Differential Evolution(HCGDE)

摘要： 提出一种混合编码差异演化算法来求解0-1背包问题。通过增加边界约束处理算子和编码映射函数，构建混合编码差异演化算法，求解离散优化问题，并利用贪婪变换方法对演化过程中的不可行解进行修复。仿真实验结果表明了该算法求解0-1背包问题的有效性与适用性。

关键词: 0-1背包问题, 边界约束处理算子, 混合编码贪婪差异演化

CLC Number: 

• TP391