Penerapan Metode Dynamic Programming dan Fuzzy Linear Programming dalam Mengoptimasi Keuntungan Serta Jumlah Produksi Padi

Abstract

Dynamic programming is a mathematical method used to select decision policies that will maximize profits. Meanwhile, the fuzzy linear programming method is used to obtain optimal constraints to achieve maximum profit. The aim of this research is to optimize the inventory and amount of fertilizer used, allowing farmers to maximize their profits. Based on the fuzzy linear programming method, to achieve maximum profit, the optimal constraints for fertilizers are as follows: Nitrobacter fertilizer should be increased by 10 liters, from 100 liters to 110 liters; PGPR fertilizer should be increased by 34 liters, from 360 liters to 394 liters; and Bokasi fertilizer should be increased by 169 kg, from 2150 kg to 2319 kg. Using a tolerance limit of 5%, a profit of Rp 826,829.107 is obtained, increasing from Rp 62,692,000 to Rp 63,518,829.107, which means an increase of 1.32%. With a tolerance limit of 10%, a profit of Rp 3,516,762.452 is obtained, increasing from Rp 62,692,000 to Rp 66,208,762.452, which means an increase of 5.61%. The λ-cut value for a 5% tolerance limit is 0, and the λ-cut value for a 10% tolerance limit is 0.42.