بهينه‌سازي ضرايب منطقه‌اي فرمول تجربي فولر با برنامه ريزي خطي و الگوريتم ژنتيك در حوزه‌هاي فاقد آمار به كمك داده‌هاي مكاني

Optimization of Fuller Experimental Formula Regional Coefficients by Linear Programming and Genetic Algorithm in unguaged watersheds with Spatial Data

براي محاسبه دبي اوج سيلاب در حوضه‌هاي فاقد آمار يكي از روش‌هاي مورد استفاده، روش‌هاي تجربي است. از روش-هاي‌ تجربي كه در اين تحقيق استفاده شده است، روش فولر بوده كه محاسن آن نسبت به ساير روش‌هاي تجربي ارائه دوره‌هاي مختلف سيلاب مي‌باشد. در اين تحقيق، مقايسه تكنيك‌هاي بهينه‌سازي برنامه‌ريزي خطي و الگوريتم ژنتيك در بهينه‌‌سازي ضرايب فرمول تجربي فولر بترتيب در محيط برنامه‌نويسي اكسل و متلب براي حوضه‌هاي منتخب منطقه هدف قرار داده شده است. بدين منظور آمار دبي حداكثر 24 ساعته 9 ايستگاه موجود در استان آذربايجان غربي با طول دوره آماري 21 سال مورد بررسي قرار گرفت. مقايسه نتايج برتري روش الگوريتم ژنتيك و سپس برنامه‌ريزي خطي را نشان داد. همچنين نتايج نشان مي‌دهد كه استفاده از روش‌هاي جستجوي هوشمند عملكرد روش‌هاي مرسوم را به ميزان قابل توجهي بهبود مي‌بخشد.

One of the methods used for calculating flood peak discharge in non-statistical watersheds is experimental methods. One of the empirical methods used in this study is the Fuller method which has advantages over other empirical methods for different flood periods. In this research, we have compared the linear programming optimization techniques and genetic algorithm in optimizing the fuller experimental formula coefficients in Excel and MATLAB respectively for selected watersheds of the region. For this purpose, the statistics of maximum 24-hour discharge of 9 stations in West Azarbaijan province with a statistical period of 21 years were studied. Comparison of the results showed the superiority of the genetic algorithm method and then linear programming. The results also show that the use of smart search methods improves the performance of conventional methods significantly. For this purpose, the statistics of maximum 24-hour discharge of 9 stations in West Azarbaijan province with a statistical period of 21 years were studied. Comparison of the results showed the superiority of the genetic algorithm method and then linear programming. The results also show that the use of smart search methods improves the performance of conventional methods significantly. For this purpose, the statistics of maximum 24-hour discharge of 9 stations in West Azarbaijan province with a statistical period of 21 years were studied. Comparison of the results showed the superiority of the genetic algorithm method and then linear programming. The results also show that the use of smart search methods improves the performance of conventional methods significantly.