A Study of Mathematical Problems as Control Agents in the Industrial Sector
DOI:
https://doi.org/10.31851/sainmatika.v21i2.16282Keywords:
linear programming, plastic buckles, MATLAB linprogAbstract
PD Utama Jaya Plasindo, a company specializing in plastic pellet processing, faces several production challenges, such as fluctuating demand, raw material shortages, machinery downtime, and labor management. To address these issues and improve production planning, the company uses MATLAB's linprog tool, which is designed for Linear Programming (LP) and aims to maximize profits. The company's profit is calculated using the formula: Profit = 37A + 46B + 38C + 46D. This calculation takes into account seven constraints related to raw materials, machinery usage, labor hours, and product demand. With this method, PD Utama Jaya Plasindo earns a daily profit of Rp. 837,600 from its plastic buckle products, totaling Rp. 16,752,000 over 20 working days in a month. These profit figures, based on clear objectives and constraints, help ensure that production goals are met and facilitate the monitoring and optimization of production capacity. By leveraging MATLAB's linprog, the company can better manage demand fluctuations and optimize the use of raw materials, machinery, and labor.
References
Alfarisa, S., Abu Bakar, S., Mohamed, A., Hashim, N., Kamari, A., Md Isa, I., Mamat, M. H., Rahman Mohamed, A., & Rusop Mahmood, M. (2015). Carbon nanostructures production from waste materials: a review. Advanced Materials Research, 1109, 50–54.
Burhanuddin, B., Basuki, B., & Darmanijati, M. R. S. (2018). Pemanfaatan Limbah Plastik Bekas Untuk Bahan Utama Pembuatan Paving Block. Jurnal Rekayasa Lingkungan, 18(1).
Fafurida, F., Setiawan, A. B., & Irmawati, S. (2016). A strategy to increase the competitiveness of leading industries in Central Java province to face ASEAN economics community 2015. International Journal of Economics and Financial Issues, 6(6), 60–66.
Funny, R. A. (2017). Using Matlab To Help Students Understanding Gauss-Jordan Methods. Angkasa: Jurnal Ilmiah Bidang Teknologi, 9(2), 75. https://doi.org/10.28989/angkasa.v9i2.176
Indah, D. R., & Sari, P. (2020). Penerapan model linear programming untuk mengoptimalkan jumlah produksi dalam memperoleh keuntungan maksimal (studi kasus pada usaha angga perabot). Jurnal Manajemen Inovasi, 10(2).
Jain, N. (2017). MATLAB Code for Structural Analysis of 2-D Structures Subjected to Static and Self-Weight Loading Conditions.
Jambeck, J. R., Geyer, R., Wilcox, C., Siegler, T. R., Perryman, M., Andrady, A., Narayan, R., & Law, K. L. (2015). Plastic waste inputs from land into the ocean. Science, 347(6223), 768–771.
Puspita, M. P., Nurcahyo, R. N., Gabriel, D. S. G., & others. (2024). Determinants of Consumer Purchase Intentions in Cleaning Product Refill Facilities as an Alternative to Reducing Single-use Plastic Packaging Waste. Jurnal Teknik Industri, 14(3), 140–147.
Putra, V. G. V., Wijayono, A., Mohamad, J. N., Irwan, I., & Rosyidan, C. (2020). Penerapan Fisika Komputasi dengan MATLAB/Simulink pada Pemodelan Infeksi Wabah COVID-19 di Indonesia melalui Modifikasi Persamaan Differensial Bernoulli. Jurnal Teori Dan Aplikasi Fisika, 8(2), 233–244. https://doi.org/10.23960/jtaf.v8i2.2513
Rahma, A. N., Rahmawati, R., & Wahyuni, W. (2017). Pengantar Matlab Untuk Sistem Persamaan Linear. Jurnal Sains Matematika Dan Statistika, 6(1), 30.
Riatinda, R. (2022). Meningkatkan Aktivitas Dan Hasil Belajar Matematika Materi Determinan Dan Invers Matriks Melalui Model Creative Problem Solving (Cps) Di Kelas Xi Ips 1 / Smtr 1 Sma Negeri 4 Bandung Tahun Ajaran 2017 – 2018. Jurnal Multidisiplin Indonesia, 1(2), 458–476. https://doi.org/10.58344/jmi.v1i2.48
Setiarini, S. D., Fitriani, S., & Hayati, H. (2023). Strategi Maximum Profit Algoritma Greedy dalam Kecerdasan Buatan Penentu Aktivitas Fisik pada Mobile Exergame. Journal of Computer System and Informatics (JoSYC), 4(3), 486–491.
Singh, V., Raj, N., & Rao, R. K. (2019). Analysis of Multi-Storey Structures using MATLAB. DJ Journal of Advances in Electronics and Communication Engineering, 5(1).
Sriwidadi, T., & Agustina, E. (2013). Analisis optimalisasi produksi dengan linear programming melalui metode simpleks. Binus Business Review, 4(2), 725–741.
Sugiono, S., Noerdjanah, N., & Wahyu, A. (2020). Uji validitas dan reliabilitas alat ukur SG posture evaluation. Jurnal Keterapian Fisik, 5(1), 55–61.
Utomo, A., & Hermanto, H. (2013). Analisis Optimalisasi Produksi dengan Linear Programming Melalui Metode Simpleks. Binus Business Review, 4(2), 725–741. https://doi.org/10.21512/bbr.v4i2.1386
Zaini, Z. (2017). Model Penyelesaian Determinan Matriks dengan Metode Eliminasi Gauss Melalui Matrix Laboratory (MATLAB). JST (Jurnal Sains Terapan), 3(1). https://doi.org/10.32487/jst.v3i1.225
Downloads
Published
Issue
Section
License
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.