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Analisis Sensitivitas Model Goal Programming Pada Optimasi Produksi Roti Menggunakan Metode Branch and Bound Ahmad, Rindawati; Katili, Muhammad Rifai; Mahmud, Sri Lestari; Wungguli, Djihad; Nashar, La Ode
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 11 Issue 2 December 2023
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v11i2.22299

Abstract

Sya'qila Bakery is a manufacturing industry that produces bread in five flavor variants. The planning carried out by Sya'qila Bakery in the bread production process is considered suboptimal due to the limitation in the quantity of production for each flavor variant, resulting in occasional shortages of raw materials. Additionally, the order production process requires a long total completion time (makespan), resulting in delays in production completion (meaning tardiness). This research aims to optimize the total completion time, the average lateness, the use of raw materials, and production revenue. In this research, the Goal Programming model is utilized with the Branch and Bound method. The analysis results with the Goal Programming model using the Branch and Bound method obtain an optimal solution, which includes an excess of 36 minutes in total completion time (makespan), an excess of 6 minutes in average lateness (mean tardiness), no excess in the availability of raw materials, and zero sales revenue shortfall. Sensitivity analysis results indicate that bread production at Sya'qila Bakery will remain optimal if changes occur in the production completion time, production delay time, and raw material availability, as long as these changes remain within their tolerance limits.
Implementasi Regresi Logistik Biner Stratifikasi Pada Pemodelan Stunting Untuk Anak Balita Di Kabupaten Gorontalo Ningsih, Setia; Madonsa, Muhammad Rifai; Mahmud, Sri Lestari; Djakaria, Ismail; Nasib, Salmun K
Jambura Journal of Probability and Statistics Vol 5, No 1 (2024): Jambura Journal Of Probability and Statistics
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jjps.v5i1.19793

Abstract

Stunting is a condition where toddlers fail to grow due to chronic malnutrition in the first 1000 days of life (HPK). Therefore, stunting cases in Gorontalo Province, especially in Gorontalo Regency, are among the cases that need to be addressed as soon as possible. The data used is secondary data from each Puskesmas in Gorontalo Regency, to see the factors that have a significant effect on the incidence of stunting in Gorontalo Regency in urban and rural areas using the stratified binary logistic regression method. In this study, the independent variables used were Gender, Birth Weight, Birth Height, Toddler Age and Nutritional Status. The test results using the stratified binary logistic regression method show that for urban strata there are 3 significant variables, namely Birth Weight, Age of Toddlers and Nutritional Status, then for rural strata there are 2 significant variables, namely Age of Toddlers and Nutritional Status. Wald test results show that there are differences between urban and rural areas.
Dynamics of a predator-prey model incorporating infectious disease and quarantine on prey Lahay, Anatasya; Payu, Muhammad Rezky Friesta; Mahmud, Sri Lestari; Panigoro, Hasan S; Zakaria, Perry
Jambura Journal of Biomathematics (JJBM) Volume 3, Issue 2: December 2022
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/jjbm.v3i2.17162

Abstract

In this article, the dynamics of a predator-prey model incorporating infectious disease and quarantine on prey population is discussed. We first analyze the existence conditions of all positive equilibrium points. Next, we investigate the local stability properties of the proposed model using the linearization method. We also determine the basic reproduction number using the next generation matrix. Finally, some numerical simulations are performed to validate the stability of each equilibrium point.