Present work explores the quantitative and qualitative performance investigation of nine recently developed optimization algorithm along with state-of-the-art differential evolution and its variants for the economic optimization of cooling tower. Quantitative performance of the competitive algorithms evaluated based on the best solution, mean solution, success rate, and standard deviation results. Qualitative performance comparison of competitive algorithms obtained through statistical analysis of the obtained results. Statistical analysis is carried out with two different scenarios to identify the qualitative performance of recently developed algorithms alone and in the presence of stat-of-art differential evolution and its variants. The effect of different constraint handling methods on the performance of the competitive algorithms is identify and presented. The behaviour of all competitive algorithms is verified for sensitiveness of constraints. Finally, the convergence behaviour of the competitive algorithm in obtaining the minimum total cost solutions is also obtainable and discussed.

当前的工作探索了九种最新开发的优化算法的定量和定性性能研究，以及用于冷却塔经济性优化的最新差分演化及其变体。根据最佳解决方案，平均解决方案，成功率和标准偏差结果评估竞争算法的量化性能。通过对获得的结果进行统计分析获得的竞争算法的定性性能比较。在两种不同的情况下进行统计分析，以识别仅是最近开发的算法的定性性能，以及在具有最新的差分演化及其变体的情况下。识别并提出了不同约束处理方法对竞争算法性能的影响。已验证所有竞争算法的行为是否具有约束敏感性。最后，还可以获得并讨论了竞争算法在获得最小总成本解中的收敛行为。