Claim Missing Document
Check
Articles

Found 12 Documents
Search

Analisis Optimasi Produksi Jus Buah untuk Memperoleh Keuntungan Maksimum Menggunakan Metode Simpleks pada POM-QM for Windows Windi suryani Wiwi; Gracia Lovian Girsang; Klara Manila laoli; Nerli Khairani
Didaktik : Jurnal Ilmiah PGSD STKIP Subang Vol. 12 No. 02 (2026): Volume 12 Nomor 02, Juni 2026 Published
Publisher : STKIP Subang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.36989/didaktik.v12i02.15288

Abstract

Penelitian ini bertujuan untuk menganalisis optimasi produksi jus buah dalam memperoleh keuntungan maksimum menggunakan metode simpleks dengan bantuan POM-QM for Windows. Penelitian ini menggunakan metode kuantitatif dengan pendekatan Linear Programming. Data penelitian diperoleh melalui observasi dan wawancara langsung dengan pemilik usaha jus buah. Data yang dikumpulkan meliputi jumlah bahan baku, jumlah produksi, waktu produksi, dan keuntungan dari setiap jenis jus buah. Analisis data dilakukan dengan menyusun fungsi tujuan dan fungsi kendala ke dalam model linear programming, kemudian diselesaikan menggunakan metode simpleks melalui software POM-QM for Windows. Hasil penelitian menunjukkan bahwa metode simpleks mampu menentukan kombinasi produksi jus buah yang optimal sehingga keuntungan maksimum dapat diperoleh dengan penggunaan bahan baku yang lebih efisien. Selain itu, penggunaan POM-QM for Windows membantu proses perhitungan menjadi lebih cepat, akurat, dan sistematis dibandingkan perhitungan manual.
ANALISIS PERBANDINGAN METODE FUZZY SIMPLEKS DAN KUMAR DALAM OPTIMASI PRODUKSI FULLY FUZZY LINEAR PROGRAMMING NERLI KHAIRANI; RIZAL MUHAIMIN; NAFASA ZAHRI; NAYSLA AURA SIFFA
E-Jurnal Matematika Vol. 15 No. 3 (2026)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2026.v15.i03.p519

Abstract

This study discusses a comparative analysis between the fuzzy simplex method and Kumar’s method in solving production optimization problems based on Fully Fuzzy Linear Programming (FFLP). Production optimization problems in real conditions often involve uncertainty in production costs, resource availability, and market demand fluctuations. Therefore, the FFLP approach is applied because all model parameters, including objective functions, constraints, and decision variables, are represented using trapezoidal fuzzy numbers to better describe uncertainty. This research employed a quantitative comparative approach using simulation data with two decision variables. The optimization model was solved using the fuzzy simplex method and Kumar’s method with the Liou–Wang ranking function. The results showed that both methods produced identical optimal solutions, including the same optimal decision variable values, fuzzy profit values, and number of iterations required to reach optimality. However, Kumar’s method provided a simpler pivot selection process through the use of ranking functions, while the fuzzy simplex method was more effective in maintaining the integrity of fuzzy data throughout the iteration process. Based on the comparative analysis, both methods were proven effective for solving FFLP problems, although they differ in computational complexity and operational procedures.