对这个函数的有效性规则做了几项修改。

There are some validity changes to this function.

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函数优化和背包问题实验验证了PEA的有效性。

The function optimization and knapsack problem show the effectiveness of PEA.

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最后对几个典型的测试函数进行了数值实验，说明了算法的有效性。

Finally, several numerical experiment results of typical test functions show the new algorithm is effective.

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通过对测试函数的实验，验证了算法的可行性和有效性。

Test results show that the new approach is feasible and effective.

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通过对测试函数的实验，验证了算法的可行性和有效性。

Test results show that the new approach is feasible and effective.

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