This study develops the Multiobjective Grey Wolf Optimization (MOGWO) algorithm to obtain the optimum rules on the operation of the Golestan Dam in Golestan Province, Iran, under the climate change conditions. The tow objective functions defined in the optimization process include minimizing the vulnerability and maximizing the reliability indices of the model under baseline and climate change conditions periods. Results showed that the river flow would decline by 0.17 percent of the baseline period under climate change conditions in addition to increasing the temperature by 20%, as well as decreasing the rainfall by 21.1%. Moreover, the extent of vulnerability index variations in baseline and climate change conditions was 16–45% and 10–43%, respectively. The range of reliability index variations in baseline and climate change conditions was 47–90% and 27–93%. On the other hand, the vulnerability index has also been measured at 29% and 27% for baseline and climate change conditions, respectively, with 75 percent of reliability. Comparison of the reservoir release rate and water demands for all of the Pareto points indicates a rise in release rates for climate change conditions relative to the baseline one; as the result, the higher adjustment in the reservoir release rates to its demand volumes will be highlighted as the higher dam efficiency in climate change conditions.

中文翻译：

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灰狼优化器的水库多目标优化调度

本研究开发了多目标灰狼优化（MOGWO）算法，以获得在气候变化条件下伊朗Golestan省Golestan大坝运行的最佳规则。在优化过程中定义的两个目标函数包括：在基线和气候变化条件时期内，使模型的脆弱性最小化和模型可靠性指标最大化。结果表明，在气候变化条件下，除了温度增加20％以及降雨量减少21.1％外，河流流量将比基准期减少0.17％。此外，基线和气候变化条件下脆弱性指数变化的程度分别为16–45％和10–43％。基线和气候变化条件下的可靠性指标变化范围为47–90％和27–93％。另一方面，对于基线和气候变化条件，脆弱性指数也分别测得为29％和27％，可靠性为75％。比较所有帕累托点的水库释放速率和需水量，可以看出气候变化条件下的释放速率相对于基线有所提高；结果，随着气候变化条件下大坝效率的提高，水库释水率对其需求量的调整将更加突出。比较所有帕累托点的水库释放速率和需水量，可以看出气候变化条件下的释放速率相对于基线有所提高；结果，随着气候变化条件下大坝效率的提高，水库释水率对其需求量的调整将更加突出。比较所有帕累托点的水库释放速率和需水量，可以看出气候变化条件下的释放速率相对于基线有所提高；结果，随着气候变化条件下大坝效率的提高，水库释水率对其需求量的调整将更加突出。