Penerapan Metode Non-Preemptive Goal Programming dalam Mengoptimalkan Produksi dan Penyaluran Air Bersih Perumda Air Minum Tirta Nauli Kota Sibolga

Abstract

Perumda Tirta Nauli Sibolga City is responsible for managing and distributing clean water resources to the residents of Sibolga. The Non-Preemptive Goal Programming method is applied to ptimize the production and distribution of clean water by considering the weighted priorities of the company’s objectives. The implementation of this method results in the optimal production volume of clean water in accordance with the maximum production capacity at the Water Treatment Plant (WTP) of Perumda Tirta Nauli Sibolga. This study also indicates that the optimal total volume of clean water sold to customers increases by 0.5198%, equivalent to 524,409.24 m3 per month. Optimization under the revenue constraint function reveals a negative deviation of Rp 192,313,200 from the company’s average monthly revenue. Based on the Spearman Rank Correlation Test, it is found that weather changes and population growth are significantly affects the availability and quality of clean water.