Open AccessFuzzy Linear Programming Dalam Optimalisasi Pelayanan Air Bersih Perusahaan Daerah Air Minum (PDAM) Kab. Jeneponto Menggunakan Metode Sabiha
Author(s) -
Wahidah Sanusi,
S. Sukarna,
Irham Aryandi Basir
Publication year - 2021
Publication title -
jmathcos/jmathcos (journal of mathematics, computation, and statistics)
Language(s) - English
Resource type - Journals
eISSN - 2721-0863
pISSN - 2476-9487
DOI - 10.35580/jmathcos.v3i1.19183
Subject(s) - mathematics , linear programming , fuzzy logic , mathematical optimization , computer science , artificial intelligence
Abstrak. Fuzzy linear programing merupakan pengembangan model program linear dalam menentukan nilai optimal yang mengandung bilangan fuzzy. Metode yang dapat digunakan dalam menyelesaikan fuzzy linear programing yaitu metode Sabiha. Penggunaan metode Sabiha didasarkan pada bilangan linear fuzzy real yang berbentuk bilangan triplet. Pada penelitian ini digunakan model Fuzzy linear programing dalam menentukan nilai optimal pelayanan PDAM Kab. Jeneponto dengan metode sabiha. Menyusun setiap indikator fungsi tujuan (Z) dan fungsi kendala untuk dioptimalkan.. Hasil penyelesaian model diperoleh nilai optimal total pelanggan 9075,0. Untuk setiap variabel tujuan dengan nilai optimal 8896, 0 untuk jenis pelanggan rumah tangga, 96,112 untuk jenis pelanggan sosial khusus, dan 82,82 untuk jenis pelanggan sosial umum. Dengan total pendapatan optimal Rp. 4.753.125.000 dan total permintaan air 1.082.303 m3.Kata Kunci : Program Linear, Fuzzy Linear Programing, Linear Fuzzy Number. Metode Sabiha, Optimalisasi.Abstract. Linear fuzzy programing is advance model for linear programing to determin the optimal result that contains fuzzy numbers. Linear Fuzzy programing can be solved using Sabiha’s method. Which is based on real linear fuzzy numbers in triplet numbers form. This paper used linear fuzzy programming model and Sabiha’s method, to determin the optimal solution on PDAM Kab. Jeneponto’s operation plan. Each indicator constructed to optimized objective function and constraint function. Results of this research have optimal solution for each objective variable was obtained with an optimal value for total costumer are 9075,0 from 8896,0 the type of household customer, 96,112 the type of special social customer, and 82,82 the type of public social costumer. With an optimal total revenue Rp. 4,753,125,000 and total water demand 1,082,303 m3.Keywords: Linear Programing, Linear Fuzzy Programing, Linear Fuzzy Number, Sabiha’s Method, Optimalization.