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Implementasi Model Cox Stratifikasi Interaksi dan Tanpa Interaksi untuk Mengidentifikasi Faktor-Faktor Laju Kesembuhan Pasien TB Paru Fakhira Modeong; Dewi Rahmawaty Isa; Ismail Djakaria; Muhammad Rezky Friesta Payu; Sri Lestari Mahmud
Research in the Mathematical and Natural Sciences Vol. 2 No. 2 (2023): May-October 2023
Publisher : Scimadly Publishing

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55657/rmns.v2i2.130

Abstract

This study aims to determine the factors that most influence the rate of recovery of pulmonary tuberculosis patients using the Cox Proportional Hazard model. In the case of the cure rate of pulmonary tuberculosis patients, not all independent variables meet the proportional hazard assumption, so the stratified cox regression model is used. The stratified cox regression model used is the stratified cox model with interaction and without interaction involving pulmonary tuberculosis patients in one of the Gorontalo Hospitals. The results showed that the variables of shortness of breath, previous pulmonary tuberculosis patients, and smoking habits were the most significant factors affecting the recovery rate of pulmonary tuberculosis patients.
Analisis Sensitivitas Model Goal Programming Pada Optimasi Produksi Roti Menggunakan Metode Branch and Bound Rindawati Ahmad; Muhammad Rifai Katili; Sri Lestari Mahmud; Djihad Wungguli; La Ode Nashar
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.
ANALISIS DINAMIK MODEL PENDANGKALAN DANAU LIMBOTO DENGAN PEMBERSIHAN ECENG GONDOK DAN PENGERUKAN ENDAPAN Sri Lestari Mahmud; Novianita Achmad
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 14 No 4 (2020): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (994.569 KB) | DOI: 10.30598/barekengvol14iss4pp597-608

Abstract

This article discusses about mathematical model of Limboto lake silting with water hyacinth cleaning solution. Modelling begins with constructing a model based on the factors that affect silting which is then formed into a system of first order differential equations. Furthermore, the model is analyzed by looking for equilibrium and stability. To see the condition of lake silting based on the stability condition, a numerical simulation was performed. The simulation results show that with water hyacinth cleaning, the lake will maintain its existence, which is indicated by an increase the Limboto lake volume, although there is still a decrease in volume due to the presence of sediment and nutrients from the river.