Implementasi Metode Goal Programming Untuk Optimasi Produksi Cokelat Pada UMKM

Agustina Pradjaningsih, Ela Andora, Kiswara Agung Santoso

Abstract


Chocolate is a food made from cocoa beans, namely Theobroma Cacao. Cocoa beans harvested are then processed to prevent rotting, which can reduce their quality. Currently, many chocolate manufacturers produce various variants of chocolate products. Each production company tries to achieve maximum profits with minimal costs. Production optimization problems can be addressed using objective programming, which is a method used to develop mathematical models of optimization problems involving multiple objectives or constraints. In goal programming, each goal is expressed as a goal constraint. Objective programming methods involve determining decision variables, objective constraints, and objective functions. Optimization problems are solved using the objective programming method with the help of Lingo software. Optimization calculations using Lingo software show that the production of each chocolate product has reached optimality. Production after optimization reached Rp. 10,380,000 per month, whereas production costs were only Rp. 10,500,000 per month before optimization. The availability of raw materials needed after optimization reached 85 recipes per month, whereas it was 90 recipes per month before optimization. The profit obtained is also optimal, namely Rp. 4,267,000 in one month.

Keywords


Optimization; Chocolate; Production; Goal Programming; Lingo

Full Text:

PDF

References


F. S. Hillier and G. J. Lieberman. Introduction to Operation Research, 10 Edition. Mc Graw-Hill Education, 2015

H. A. Taha, Operation Research An Introduction, 10 Edition. London: Pearson, 2017.

Siswanto, Operation Research, Jilid 1. Jakarta: Penerbit Erlangga, 2017.

C. D. McAllister, T.W. Simpson, and M. Yukish “Goal Programming Application in Multidisciplinary Design Optimization,” 2012. [Online]. Available: https://arc.aiaa.org/doi/10.2514/6.2000-4717. [Accessed: 24-July-2024].

A. Pradjaningsih, A. H. Iin, and Kusbudiono. “Analisis Sensitivitas Optimasi Produksi Roti Menggunakan Metode Goal Programming,“ in Prosiding Seminar Nasional Pendidikan Matematika, UNIPA Surabaya, 2023, pp. 208-217.

D. M.N. Faisal, H. Bagus, and S. Sunarya, “Perhitungan Metode Goal Programming Untuk Optimasi Perencanaan Produksi Keripik Singkong Pada PT. Cassava Chips,“ Bulletin of Applied Industrial Engineering Theory, vol. 2, no. 1, 2021.

F. T. Nilamsari, K. A. Santoso, and A. Pradjaningsih, “Optimasi Produksi Suwar-Suwir Menggunakan Metode Goal Programming (Studi Kasus: Pabrik Sari Rasa, Kabupaten Jember),” Jurnal Ilmiah Matematika dan Pendidikan Matematika, vol. 15, no. 1, pp. 41-54, 2023, DOI: 10.20884/1.jmp.2023.15.1.7243

M. Anis, S. Nandiroh, and A.D. Utami, “Optimasi Perencanaan Produksi Dengan Metode Goal Programming,” Jurnal Ilmiah Teknik Industri, vol. 5, no. 3, pp. 133-143, 2007, DOI: 10.23917/jiti.v5i3.1601

M. Hakimah, D. H. Sulaksono, and H. Sasmita, “Penerapan Metode Goal Programming Untuk Penyelesaian Masalah Optimasi Biaya Produksi dan Target Penjualan,” KERNEL: Jurnal Riset Inovasi Bidang Informatika dan Pendidikan Informatika, vol. 1, no. 2, pp. 82-93, 2020, DOI: 10.31284/j.kernel.2020.v1i2.958.

N. S. Pratama, S.S. Dahda, and E. Ismiyah, “Pengaplikasikan Metode Goal Programming Pada Perencanaan Produksi Stainless Steel (Studi Kasus: PT. Jindal Stainless Indonesia),“ JUSTI: Jurnal Sistem dan Teknik Industri, vol. 1, no 1, pp. 111-117, 2020, doi: 10.30587/justicb.v1i1.2046

N. Umama, A. Pradjaningsih, and A. Riski, “Snack Production Planning Strategy using Goal Programming Method,” BERKALA SAINSTEK, vol. 12, no. 1, pp. 1-5, 2024, DOI:

19184/bst.v12i1.45345.

R. Ahmad, M. R. Katili, S. L. Mahmud, D. Wungguli, and L. O. Nashar, “Analisis Sensitivitas Model Goal Programming Pada Optimasi Produksi Roti Menggunakan Metode Branch and Bound,” EULER: Jurnal Ilmiah Matematika, Sains dan Teknologi, vol. 11, no. 2, pp. 216-227, 2023, DOI: 10.37905/euler.v11i2.22299

S. N. Hasanah, A. R. Andini, and Ardiansyah, “Optimasi Produksi Pada UKM Pembuatan Peyek Dengan Menggunakan Metode Goal Programming,” Bulletin of Applied Industrial Engineering Theory, vol. 2, no. 1, 2021.

V. Devani, M. I. H. Umam, Y. Aiza, and Sarbaini, “Optimasi Perencanaan Produksi Ban Menggunakan Metode Goal Programming dan Analisis Sensitivitas” International Journal of Computing Science and Applies Mathematics, vol. 8, no. 2, pp. 36-40, 2022, DOI: 10.12962/j24775401.v8i2.7364.

W. Sugianto, “Optimasi Kapasitas Produksi UKM Dengan Goal Programming,” Jurnal Rekayasa Sistem Industri, vol. 5, no. 2, pp. 146-154, 2020, DOI: 10.33884/jrsi.v5i2.1911

A. Pradjaningsih, I. R. Aulia, and A. Riski, “Penerapan Goal Programming Untuk Optimalisasi Penjadwalan Jam Kerja Satuan Pengamanan, “Journal of Applied Informatics and Computing (JAIC), vol. 7, no. 1, pp. 28-33, 2023, DOI: 10.30871/jaic.v7i1.5322.

E. Lesmana and M. Herdyati, “Penjadwalan Perawat IGD Rumah Sakit Umum Daerah Kota Bandung Menggunakan Metode Goal Programming,” TEOREMA:Teori dan Riset Matematika, vol. 4, no. 2, pp. 99-110, 2019, DOI: 10.25257/teorema.v4i2.2468.

Priharyanti, L. S. Pratignyo, and A. I. Sofiyat, “Penjadwalan Pegawai PT XYZ Jakarta Menggunakan Metode Goal Programming,” Jurnal Matematika Sains, vol. 1, no. 1, pp 27-33, 2023, DOI: 10.34005/ms.v1i1

M. K. Zuhanda, S. Suwilo, and O. S. Sitompul, “Goal Programming Method in Optimizing Course Student Admission, Operational Costs and Profits,” JITE (Journal of Informatics and Telecommunication Engineering), vol. 5, no. 2, pp. 286-294, 2022, DOI: 10.31289/jite.v5i2.6072

S. Sofiyanto, T. Yulianto, and F. Faisol, “Penerapan Metode Goal Programming Dalam Mengoptimalkan Pendistribusian Gas LPG di SPPBE Tlanakan,” Zeta-Math Journal, vol. 6, no. 2, pp. 48-53, 2021, DOI: 10.31102/zeta.2021.6.2.48-53

T. Nur and D. Primadian, Modul Praktikum Komputasi dan Optimasi. Makassar : Universitas Hasanudin.




DOI: https://doi.org/10.37905/euler.v12i2.26904

Refbacks

  • There are currently no refbacks.


Copyright (c) 2024 Agustina Pradjaningsih, Ela Andora, Kiswara Agung Santoso

Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.


Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi has been indexed by:


                         EDITORIAL OFFICE OF EULER : JURNAL ILMIAH MATEMATIKA, SAINS, DAN TEKNOLOGI

 Department of Mathematics, Faculty of Mathematics and Natural Science, Universitas Negeri Gorontalo
Jl. Prof. Dr. Ing. B. J. Habibie, Tilongkabila, Kabupaten Bone Bolango 96554, Gorontalo, Indonesia
 Email: euler@ung.ac.id
 +6287743200854 (WhatsApp Only)
 Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi (p-ISSN: 2087-9393 | e-ISSN:2776-3706) by Department of Mathematics Universitas Negeri Gorontalo is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.  Powered by Public Knowledge Project OJS.

slot gacor slot gacor hari ini slot gacor 2025 demo slot pg slot gacor slot gacor