A differential evolution algorithm (DE) is proposed to exactly satisfy the linear equality constraints present in a continuous optimization problem that may also include additional non-linear equality and inequality constraints. The proposed DE technique, denoted by DELEqC-II, is an extension of a previous method developed by the authors. In contrast to the previous approach, it uses both mutation and crossover strategies that maintain feasibility with respect to the linear equality constraints. Also, a procedure to correct numerical errors detected in the previous approach was incorporated in DELEqC-II. In the numerical experiments, scalable test-problems with linear equality constraints are used to analyze the performance of the new proposal.

中文翻译：

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一种改进的差分进化算法，包括线性等式约束，用于优化

提出了一种差分演化算法（DE），以精确满足连续优化问题中存在的线性等式约束，该约束可能还包括其他非线性等式和不等式约束。提出的DE技术（用DELEqC-II表示）是作者开发的先前方法的扩展。与以前的方法相比，它使用了变异和交叉策略，这些策略在线性相等性约束方面保持了可行性。另外，在DELEqC-II中包含了一种纠正在先前方法中检测到的数值错误的过程。在数值实验中，具有线性等式约束的可扩展测试问题用于分析新提议的性能。