Penerapan Program Linear Fuzzy dalam Optimalisasi Jumlah Produksi dan Keuntungan di K-Bakery

  • Nelita Anggraini Sitanggang Program Studi Matematika Institut Teknologi Sumatera, Lampung Selatan, 35365, Indonesia
  • Mira Mustika Program Studi Matematika Institut Teknologi Sumatera, Lampung Selatan, 35365, Indonesia

Abstract

K-Bakery is a bakery located in Bandar Lampung City, Lampung. K-Bakery produces various types of bread, namely brown bread, nuts, greentea, mocha, and tiramisu bread which involve various raw material resources. Unstable market demand creates obstacles for K-Bakery in formulating the number of each type of bread to be produced so as to produce maximum profit. However, in determining the amount of production must pay attention to the limited supply of raw materials. In this case, there is a need for production planning so that all available resources can be used optimally and produce a combination of production that provides maximum profit. One way to solve this problem is to optimize production using a fuzzy linear program with a tolerance of 10% as the capability of K-Bakery. The use of the fuzzy linear program generates greater profits than the usual linear program, the profit obtained is Rp. 11.247.972,1708by producing 320 chocolate breads, 449,75 peanut breads, 365,667 greentea breads, 250 moka breads fruit, 449,925 srikaya bread, and 499,975 tiramisu breads. In addition, the value of l = 0,5 is obtained, or in other words, the maximum addition of each raw material is 50% of the available safety stock.

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References

[1] E. Noprianto, “Optimalisasi Penggunaan Bahan Baku Produksi Roti (Studi Kasus di PT. Mandiri Bakery, Petukangan Utara Jakarta Selatan),” 2007.
[2] A. Sahari and A. I. Jaya, “BRANCH AND BOUND ( Studi Kasus Pada Pabrik Roti Syariah Bakery , Jl . Maleo , Lrg . VIII No . 68 Palu ),” vol. 13, no. 2, pp. 98–107, 2016.
[3] S. Diandra, “Aplikasi Metode Fuzzy Linear Programming dan Cutting Plane dalam Mengoptimalkan Jumlah Produksi di Pabrib MM Roti,” Universitas Negeri Medan, 2019.
[4] A. Yulianto, H. Suyitno, and M. Mashuri, “Aplikasi Fuzzy Linear Programming Dalam Optimalisasi Produksi,” Unnes J. Math., vol. 1, no. 1, 2012, doi: 10.15294/ujm.v1i1.602.
[5] H. Suantio, “Aplikasi Fuzzy Linear Programming untuk Perencanaan Produksi Bola Lampu pada PT. Sinar Sanata,” Universitas Negeri Medan, 2012.
[6] Abdullah, L., dan N.F. Abidin, A Fuzzy Linear Programming in Optimizing Meat Production, International Journal of Engineering and Technology (IJET) vol. 6. no. 1, 2014.
[7] M. Sakawa, H. Yano, dan I. Nishizaki, Linear and Multiobjective Programming with Fuzzy Stochastic Extensions, vol. 203. New York: Springer, 2013.
[8] Siswanto, Riset Operasi. Jakarta: Erlangga, 2007.
[9] Wamiliana, Program Linear Teori dan Aplikasinya. Lampung: CV. Anugrah Utama Raharja, 2013.
[10] R. Purba, “Penerapan Logika Fuzzy pada Program Linear,” 2012.
Published
2021-05-10
How to Cite
SITANGGANG, Nelita Anggraini; MUSTIKA, Mira. Penerapan Program Linear Fuzzy dalam Optimalisasi Jumlah Produksi dan Keuntungan di K-Bakery. Indonesian Journal of Applied Mathematics, [S.l.], v. 1, n. 2, p. 36-43, may 2021. ISSN 2774-2016. Available at: <https://journal.itera.ac.id/index.php/indojam/article/view/348>. Date accessed: 16 june 2021. doi: https://doi.org/10.35472/indojam.v1i2.348.