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All Journal Jurnal Ilmu Dasar BERKALA SAINSTEK Jurnal Teknologi Informasi dan Ilmu Komputer Prosiding SI MaNIs (Seminar Nasional Integrasi Matematika dan Nilai-Nilai Islami) BAREKENG: Jurnal Ilmu Matematika dan Terapan JOURNAL OF APPLIED INFORMATICS AND COMPUTING JURNAL REKAYASA SISTEM INDUSTRI ILKOM Jurnal Ilmiah Teorema: Teori dan Riset Matematika Mathvision : Jurnal Matematika Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP) InPrime: Indonesian Journal Of Pure And Applied Mathematics Range : Jurnal Pendidikan Matematika Majalah Ilmiah Matematika dan Statistika (MIMS) Jurnal Ilmiah Matematika Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Operations Research: International Conference Series Tensor: Pure and Applied Mathematics Journal Pattimura Proceeding : Conference of Science and Technology
Agustina Pradjaningsih
Jurusan Matematika FMIPA Universitas Jember
Agriculture, Biological Sciences & Forestry Arts Humanities Astronomy Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Chemistry Civil Engineering, Building, Construction & Architecture Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Energy Engineering Industrial & Manufacturing Engineering Materials Science & Nanotechnology Mathematics Mechanical Engineering Physics Transportation

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Analisis Variasi Parameter terhadap Optimasi Produksi Bakso dengan Pendekatan Metode Interior-Point Pradjaningsih, Agustina; Islamiyah, Syayidah Umrotul; Santoso, Kiswara Agung; Soepardi, Apriani
Teorema: Teori dan Riset Matematika Vol 11, No 1 (2026): Maret
Publisher : Universitas Galuh

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25157/teorema.v11i1.20560

Abstract

UMKM Pentol Bakso Bu Nurus, bergerak di bidang produksi bakso beku dengan berbagai varian. Ketidakstabilan pasokan bahan baku dan tingginya kompetisi pasar mendorong perlunya penerapan optimasi guna memaksimalkan pemanfaatan sumber daya yang terbatas demi mencapai keuntungan tertinggi. Penelitian ini mengimplementasikan dua algoritma dari metode titik interior yaitu algoritma Affine Scaling dan Karmarkar dengan mempertimbangkan data seperti jenis produk, biaya produksi, takaran bahan, dan profit per unit. Analisis sensitivitas kemudian dilakukan untuk mengidentifikasi sejauh mana jumlah daging dapat berubah tanpa mempengaruhi solusi optimal. Hasil optimasi menunjukkan kedua algoritma memberikan peningkatan keuntungan sebesar 20,9%. Sedangkan dari analisis sensitivitas, diperoleh interval stabilitas untuk penggunaan daging, yakni 206.550 gram < b₂ ≤ 250.000 gram, di mana solusi optimal tidak berubah selama pasokan daging berada dalam rentang itu.
Performance Analysis of Grey Wolf Optimizer for Solving Nonlinear Systems with Complex Roots Merysa Puspita Sari; Dewi Ika Ainurrofiqoh; Agustina Pradjaningsih; Sailah Ar Rizka; Nadia Kholifia
Tensor: Pure and Applied Mathematics Journal Vol 7 No 1 (2026): Tensor: Pure and Applied Mathematics Journal
Publisher : Department of Mathematics, Faculty of Mathematics and Natural Sciences, Pattimura University, Ambon, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/tensorvol7iss1pp1-8

Abstract

Nonlinear systems of equations consist of multiple equations that must be solved simultaneously, and analytical solutions are often difficult to obtain, particularly for complex cases. For this reason, numerical and metaheuristic approaches are frequently employed as practical alternatives. This study investigates the performance of the Grey Wolf Optimizer (GWO) in solving nonlinear systems involving both real and complex roots. The problem is reformulated as an optimization task by minimizing a modulus based objective function derived from the given system. The implementation is carried out in MATLAB using several test cases, and a parameter sensitivity analysis is conducted with respect to the number of search agents, search boundaries, and maximum iterations. To evaluate its performance, the results obtained using GWO are compared with those of the Particle Swarm Optimization (PSO) algorithm reported in previous studies. The findings indicate that GWO is able to produce stable solutions with objective function values close to zero across different cases. However, PSO tends to achieve higher accuracy and faster convergence in certain scenarios. Despite this, GWO demonstrates strong exploration capability, which contributes to its robustness and makes it a viable alternative for solving complex nonlinear systems.
Co-Authors Abduh Riski Abduh Riski, Abduh Ahmad Kamsyakawuni Akhsan, Mokhamad Andora, Ela Anggraeni, Dyan Mei Ani Rimadani Anisa Wahyu Illahi Apriani Soepardi Ardelia Nani Vidatiyasa B., Rika N. Delenia, Erick Dewi Ika Ainurrofiqoh Dewi, Theresia Trias Candra Dini Nur Wasilah Durratul Sayyidah Adilah Munawaroh Dwidayanti, Frisca Puji Fadri, Firda Firdaus Ubaidillah, Firdaus Fitriya, Fitriya I Made Tirta Islamiyah, Syayidah Umrotul Kholifia, Nadia Khurnia Palupi Kiswara Agung Santoso M. Isnaini Merysa Puspita Sari Moh. Hasan Mutiarasari, Yusna Nilamsari, Fania Tasya Nuranggraini, Laras Vegi Putriana, Novia Ayu Rianingsih, Wahyu Rizka, Sailah Ar Rohmatul Aulia, Indriyani Rusli Hidayat Sukma Lailatul Fadillah Taufiqi Fadhilah Amieni Umama, Nadya Wasilah, Dini Nur Yuliani Setia Dewi Yusnita, Ade Ratna