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JURNAL ILMIAH MATEMATIKA DAN TERAPAN
Published by Universitas Tadulako
ISSN : 18298133     EISSN : 2450766X     DOI : -
Core Subject : Education,
Mathematics
Jurnal Ilmiah Matematika dan Terapan adalah Jurnal yang diterbitkan oleh Program Studi Matematika FMIPA Universitas Tadulako. Jurnal ini menerbitkan artikel hasil penelitian atau telaah pustaka bersifat original meliputi semua konsentrasi bidang ilmu matematika dan terapannya, seperti analisis, aljabar, kombinatorika, matematika diskrit, statistika, dan semua aspek terapannya.
Arjuna Subject : Matematika - Matematika (Lain-Lain)
Articles 13 Documents
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Search results for , issue "Vol. 17 No. 2 (2020)" : 13 Documents clear
Analisis Model Matematika Penyebaran Penyakit Kolera Dengan Mempertimbangkan Masa Inkubasi Nuha, A R; Resmawan
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 17 No. 2 (2020)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22487/2540766X.2020.v17.i2.15200

Abstract

Cholera is a type of diarrheal disease caused by the presence of Vibrio cholerae in the patient's intestine. Bacteria V. cholerae has the ability to survive in water so that it will easily transmit disease to humans. This study discusses the dynamics of the spread of cholera caused by V. cholerae bacteria. The incubation period in the disease transmission system is a factor that considered in a compiled mathematical model. Besides giving the vaccine is considered a powerful way to reduce the rate of transmission. This study aims to modify the mathematical model of the spread of cholera, carry out the analysis of the stability of the modified model, and carry out numerical simulations. The modified model will be determined by its equilibrium and then stability analysis will be carried out at the equilibrium by considering the basic reproduction number (R0). Modification of the model with consideration of the incubation period produces a mathematical model of the spread of cholera type SVEIR-B. The stability of a fixed point is influenced by R0. The condition value R0 < 1 resulting in a disease-free equilibrium that is asymptotically stable, whereas the condition R0 > 1 results in an endemic equilibrium being asymptotically stable. Numerical simulations show an increase in the rate of vaccine delivery can decrease the value while increasing the rate of vaccine shrinkage and the incubation rate of each can increase the value.
Analisis Kontrol Optimal Pada Model Matematika Penyebaran Pengguna Narkoba Dengan Faktor Edukasi Resmawan; Eka, M; Nurwan; Achmad, N
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 17 No. 2 (2020)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22487/2540766X.2020.v17.i2.15201

Abstract

ABSTRACT This paper discusses the mathematical model of drug users with education. Optimal control theory was used on this model with education as a control to achieve the goal of minimizing the number of drug users. The optimal control problem was analyzed using Pontryagin’s minimum principle and performed numerical simulation by using a 4th-order Runge-Kutta method. Based on the numerical simulation, there was a change in the number in each population which caused the population with education to increase, and control with education resulted in the reduced number of drug users. Keywords: Optimal control; mathematical model; drug users; education ABSTRAK Artikel ini membahas tentang model matematika penyebaran pengguna narkoba dengan faktor edukasi. Teori kontrol optimal diterapkan pada model ini dengan pemberian kontrol berupa edukasi dengan tujuan untuk meminimumkan jumlah pengguna narkoba. Kontrol optimal dianalisis menggunakan Prinsip Minimum Pontryagin dan dilakukan simulasi numerik dengan menggunakan metode Runge-Kutta orde 4. Berdasarkan simulasi diperoleh bahwa terjadi perubahan jumlah di tiap populasi dan mengakibatkan jumlah populasi dengan edukasi bertambah, serta pemberian kontrol dengan edukasi mengakibatkan jumlah pengguna narkoba berkurang. Kata kunci : Kontrol optimal; model matematika; pengguna narkoba; edukasi
Penerapan Vector Autoregressive Integrated (VARI) Pada Data Jumlah Peserta KB Aktif Sihombing, P R; Yulianti, I F; Istinah, A N
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 17 No. 2 (2020)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22487/2540766X.2020.v17.i2.15205

Abstract

Program KKBPK merupakan salah satu upaya yang telah dilakukan oleh pemerintah melalui Badan Kependudukan dan Keluarga Berencana Nasional (BKKBN) dalam menangani masalah kependudukan terutama dalam aspek kuantitas, yaitu dengan mengendalikan jumlah penduduk melalui penurunan fertilitas. Kab. Garut dan Kab. Bandung menjadi prioritas dalam rangka pengendalian fertilitas dipantau melalui perkembangan peserta KB aktif karena dianggap dapat memberikan sumbangan yang besar dalam menurunkan TFR dan meningkatkan Contraceptive Prevelance Rate (CPR) di Provinsi Jawa Barat. Penelitian ini menerapkan VARI dalam pemodelan peserta KB aktif pada Kab. Bandung dan Kab. Garut. Dua persamaan diatas menunjukkan bahwa variabel yang diamati, yaitu jumlah peserta KB aktif di Kab. Garut dan Kab. Bandung, saling mempengaruhi satu sama lain. Jumlah peserta KB aktif di Kab. Garut dipengaruhi oleh jumlah peserta KB aktif di Kab. Garut pada satu periode sebelumnya dan oleh jumlah peserta KB aktif di Kab. Bandung satu periode sebelumnya. Dengan demikian, Jumlah peserta KB aktif di Kab. Bandung dipengaruhi oleh jumlah peserta KB aktif di Kab. Bandung pada satu periode sebelumnya dan oleh jumlah peserta KB aktif di Kab. Garut satu periode sebelumnya.
Optimasi Hasil Produksi Olahan Daging Sapi Dengan Menggunakan Linear Programming (Studi Kasus : UD. Angkasa Timor Kupang) Adoe, V S
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 17 No. 2 (2020)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22487/2540766X.2020.v17.i2.15247

Abstract

ABSTRACTUD. Angkasa Timor is one of the business units engaged in beef processing with 3 forms of products produced, se'i, beef jerky and shredded beef. The obstacle faced is that entrepreneurs have not used the available resources optimally so the benefits have not been maximized. Therefore, this study aims to combine existing production resources so that entrepreneurs can obtain optimal production results and can obtain maximum profits. By using linear programming methods in the POM-QM For Windows V4 application, the analysis results are obtained X1 = 0.8571 kg, X2 = 1.8033 kg, and X3 = 0.2459 kg, with an Z value or an optimal profit of Rp. 7,197,893, Keywords : Linear Programming, Optimization
Pemodelan Zero Inflated Negative Binomial (ZINB) Pada Kasus Jumlah Bepergian Penduduk Provinsi Sulawesi Tengah I T Utami
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 17 No. 2 (2020)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22487/2540766X.2020.v17.i2.15302

Abstract

Traveling is something that has been done by every resident, especially the people of Central Sulawesi province. The people of Central Sulawesi province who travel have a certain purpose either because of their own desires or following others. The number of people traveling from Central Sulawesi Province can be analyzed using the zero inflated negative binomial regression method (ZINB). ZINB regression is a method used to model calculated or discrete data with many zero values ​​on the response variable (zero inflation) and overdispersion occurs. The result shows that the factors affecting the number of people traveling population from the Central Sulawesi Province are age (X1), the people who have jobs in mining and quarrying (X32), the people who have jobs in electricity and gas (X34). The zero inflated negative binomial (ZINB) regression model is better at modeling cases of the number of people traveling in Central Sulawesi Province in 2016 compared to the Poisson regression model because it has the smallest AIC value.
Analisis Kelainan Jantung Menggunakan Dimensi Fraktal Dan Transformasi Wavelet Oktaviani, D R; Habiburrohman, M
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 17 No. 2 (2020)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22487/2540766X.2020.v17.i2.15315

Abstract

ABSTRACT The disease that causes the largest number of deaths in Indonesia to date is acute coronary syndrome or called the silence killer. Deaths due to coronary heart disease (CHD) reached 26.4%. Therefore, to prevent the high death rate from CHD, early detection of CHD can be done. One way that can be done is checking the ECG (electrocardiogram / electrocardiograph) record. Then by using the HRV (Heart Rate Variability) method, which is to analyze the ECG signal which can take measurements, physiological interpretation, and clinical use of the ECG signal so that it can find out an arrhythmia (a condition in which the heart beats erratically) a person's heart and take medical steps right. In this article using wavelet transform analysis to identify heart disease. The results are then compared with the fractal dimensions of the heart rate signal. FD identifies heart disease with more than 90% confidence Keywords : Fractal, Heart, Wavelet.
Aplikasi Metode Simpleks Pada Optimalisasi Biaya Bahan Baku (Studi Kasus: Ukm Najmah Klappertart): Aplikasi Metode Simpleks Pada Optimalisasi Biaya Bahan Baku (Studi Kasus: Ukm Najmah Klappertart) Damayanti, D; Jaya, A I; Resnawati
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 17 No. 2 (2020)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22487/2540766X.2020.v17.i2.15334

Abstract

ABSTRACT The purpose of this research is to obtain an the optimal production costs of Klappertart based on the basic ingredients comparing the production cost of Klappertart in Najmah Klappertart with production costs using the simplex method. The result showed that the optimal costs is ,-. This result is equal to the total cost of klappertart by SMEs Najmah Klappertart, so it can be concluded that the cost of production klappertart based on the basic ingredients on SMEs Najmah Klappertart were optimal. Keywords : Optimal Cost, Basic Ingredients, Production Costs. (A-Z), Simplex Method
Penerapan Sistem Antrian Sebagai Upaya Mengoptimalkan Pelayanan Rekonsiliasi Barang Milik Negara (BMN) Di Kantor Pelayanan Kekayaan Negara Dan Lelang Palu Delfianti, D; Jaya, A I; Resnawati
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 17 No. 2 (2020)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22487/2540766X.2020.v17.i2.15335

Abstract

ABSTRACT The queue is an activity that arises because of the number of services the facility is less than the number who need the service. Kantor Pelayanan Kekayaan Negara dan lelang(KPKNL) Palu is one of the government agencies that implement a queuing system on reconciliation of State Owned Property (BMN) that it held every semester, where they just served the 337 of work units comparethe 700 of work unit within two weeks. This study aimed is to obtain the characteristics of the queue and the optimum number of servers in the service of reconciliation in KPKNL Palu using queues. The results showed the busiest time is on July 21, 2016. The addition of a server from 4 to 8 servers showed a decrease in the queue. It is perceptibly from a queue characteristics decrease in levels of activity server (ρ) from 75% to 20,8%, the number of work units waiting in the queue (Lq) of 1,53 2work units/ hour to 0 work unit/hour, the number of work units waiting in the system (Ls) of 4,53 5 work units/hour into 1,667 2 work units/hour, time waiting in queues (Wq) of 6,11 minutes to 0 minutes, the waiting time in the system ( Ws) of 18,11 minutes to 6,667 minutes and the number of work units that is served in 2 weeks are 700 work units. Keywords : Characteristics, Queue, Reconciliation of State Owned Property (BMN).
Sistem Pendukung Keputusan Untuk Mendeteksi Penyakit Diabetes Melitus Tipe 2 Menggunakan Metode Learning Vector Quantization (LVQ) Aliyanti, N; Ratianingsih, R; Puspita, J W
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 17 No. 2 (2020)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22487/2540766X.2020.v17.i2.15336

Abstract

ABSTRACT Diabetes is a chronic disease that occurs when the pancreas does not produce enough insulin, or when the body can not effectively use the insulin that is produced. Diabetes mellitus can be divided into two types: Type 1 diabetes mellitus and diabetes mellitus type 2. This study aims to detect diabetes mellitus and may predict the development status (Metabolic Syndrome) using Learning Vector Quantization. The data needed to detect type 2 diabetes are blood sugar levels, genetics, age, physical activity, diet, smoking habits, body mass index, gender and abdominal circumference. In addition, the data also used HbA1C and cholesterol levels to detect the status of the development of type 2 diabetes mellitus (Metabolic Syndrome). The classification process is divided into two stages: stage 1 to determine the type 2 diabetes or Non diabetes mellitus, and phase 2 to predict the prognosis of type 2 diabetes into Metabolic Syndrome or Non Metabolic Syndrome (the patient is still in the category of type 2 diabetes) performed on 200 data respectively divided into 80 training data and 120 testing data. Best detection results at stage 1 that is equal to 96.67% can be obtained using learning rate (α) of 0.7, and the rate of decrement (decα) of 0.75.While the best detection results at stage 2 average accuracy rate of 92.5% using a variety of learning rate (α) and the rate of decrement (decα). Error detection in stage 2 occurs only in the Metabolic Syndrome data detected as Type 2 diabetes mellitus. Keywords : Accuracy, Diabetes Mellitus, Learning Vector Quantization
Optimalisasi Biaya Transportasi Pendistribusian Pupuk Bersubsidi Menggunakan Model Transportasi Metode Modified Distribusition (MODI) Pertiwi, N; Jaya, A I; Hajar
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 17 No. 2 (2020)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22487/2540766X.2020.v17.i2.15337

Abstract

ABSTRACT This study was conducted to obtain the optimal transport costs in the distribution of subsidized fertilizer in PT. GCS and PT.PPI. This research was done in two steps is to create a transport model of the data obtained and determine its solution initially with Least Cost method, and determine the optimal solution with ModifiedDistribution (MODI) method. Based on research that obtained the initial solution is Rp. 65.040.000 and optimal solution is Rp. 64.950.000. While the cost of transportation from the company is RP. 70.500.000. This shows that both distributors can optimize the total cost of transport for the distribution of subsidized fertilizer in January 2017 with the distribution cost savings of Rp. 5.550.000. Keywords : Least Cost Method, Modified Method of Distribution, Optimization, Transportation

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