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Jurnal Matematika
Published by Universitas Udayana
ISSN : 16931394     EISSN : 26550016     DOI : https://doi.org/10.24843/JMAT
Core Subject : Education,
Mathematics
Jurnal Matematika (p-ISSN: 1693-1394 |e-ISSN: 2655-0016| DOI: 10.24843/JMAT ) is an open access journal which publishes the scientific works for researchers. The articles of this journal are published every six months, that is on June and December.
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Articles 187 Documents
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Analisis Regresi Multivariate Berdasarkan Latar Belakang Santri Mohammad Syaiful Pradana; Nur Nensi; Novita Eka Chandra
Jurnal Matematika Vol 12 No 1 (2022)
Publisher : Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2022.v12.i01.p149

Abstract

The students of the Matholiul Anwar Islamic boarding school come from various different regions so that they have quite diverse social and economic backgrounds. Likewise with learning motivation, achievement motivation and student learning achievement are also diverse. This study aims to determine the effect of the social and economic background of students on achievement motivation, learning motivation and learning achievement. The research sample used was 49 students in the F dormitory of the Matholiul Anwar Sukodadi Lamongan Islamic boarding school. This study uses the Multivariate Regression Analysis model. From the results of the partial study, the effect of social status on the dependent variable was concluded that there was an effect of social status on achievement motivation, learning motivation and learning achievement. Meanwhile, for the variable of economic status on the dependent variable, it can be concluded that there is no effect of economic status on achievement motivation, learning motivation, and learning achievement. Simultaneously, it was obtained that the background of the students affected the achievement motivation, learning motivation, and learning achievement in the F dormitory of the Matholiul Anwar Islamic boarding school.
The Calculation of Life Insurance Premiums with A Multiple-State Model on Critical Illness Insuranceance Millennia Taraly; Neva Satyahadewi; Hendra Perdana
Jurnal Matematika Vol 12 No 2 (2022)
Publisher : Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2022.v12.i02.p150

Abstract

Based on data from the Basic Health Research (Riskesdas) in 2018, the risk of critical illness is increasing and is the highest cause of death for Indonesian population. Currently, the cost of treating disease is not cheap, so maintaining health and preparing for the possibility of being diagnosed with a critical illness in the future is an important step. Critical Illness insurance premiums calculation includes cancer, stroke, heart, and diabetes mellitus. The benefits provided are in the form of death compensation, treatment costs when diagnosed with a critical illness, and there are also costs for Angioplasty surgery. Angioplasty surgery is performing when the individual has a serious critical heart condition and must be performed immediately 24 hours after a heart attack. The data information is in the form of the 2019 Indonesian Mortality Table, and the prevalence of critically ill patients with angioplasty surgical conditions. The premium calculation is carriying out for the insured male aged 40 years in good health, interest rate is 3.75%, the premium payment period and the insurance coverage period is 10 years. The annual net premium value obtained is IDR 5,859,788, of which the sum insured is IDR 500,000,000. There are 3 benefits obtained by the insured: (1) The cost of compensation received for Angioplasty surgery is 25% of the sum insured; (2) The cost of treatment compensation that will be given annually until the insurance coverage period ends when the insured is diagnosed with a critical illness, which is 100% of the sum insured minus the cost of compensation in the event of Angioplasty surgery; and (3) The value of compensation for death due to any cause, which is 100% of the sum insured minus the critical illness benefit for Angioplasty surgery
Optimalisasi Keuntungan Menggunakan Metode Branch And Bound Pada Produksi Spring Bed Daryana Dali; Yopi Andry Lesnussa; Venn Yan Ishak Ilwaru
Jurnal Matematika Vol 12 No 2 (2022)
Publisher : Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2022.v12.i02.p151

Abstract

PT Satelit Maluku is a company that produces spring beds with three types, namely 2in1, ordinary spring beds and single beds. Every company established aims to get big profits as well as PT Satelit Maluku. To obtain large profits, companies need to make strategies so that each available material can be allocated optimally and appropriately. The purpose of this research is PT Satelit Maluku can optimize the profit of spring bed production by using the Branch and Bound and QM for Windows V5 methods. From the results of calculations using the Branch and Bound method and QM for windows V5, the optimal profit is Rp. 19,775,000 with a lot of production of spring bed type 2in1 is 0 (not producing), ordinary spring bed is 26 pieces and single bed is 3 pieces.
Analisis Positioning Merk Laptop dengan Menggunakan Metode MDS Nonmetrik dan CA Maria Romaana Ona Sain; Yudi Setyawan; Rokhana Dwi Bekti
Jurnal Matematika Vol 12 No 2 (2022)
Publisher : Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2022.v12.i02.p152

Abstract

Abstract: This study aims to determine the positioning of laptop brands on attributes based on the perceptions and preferences of IST AKPRIND students. The method used is nonmetric multidimensional scaling and correspondence analysis. The results showed that: multidimensional scaling of perception data, quadrant I was occupied by HP and Dell, quadrant II was occupied by Toshiba, quadrant III was occupied by Acer, Lenovo, Asus, and quadrant IV was occupied by Apple. Then multidimensional scaling preference data, it is known that quadrant I is occupied by storage and price attributes, quadrant II is occupied by Apple with attributes of laptop resistance to damage, feature set, RAM, processor, quadrant III is occupied by brand image and warranty attributes, and quadrant IV is occupied by HP, Dell, Toshiba, Acer, Lenovo, Asus, and there are no attributes in quadrant IV. Using correspondence analysis, it is known that quadrant I is occupied by Apple with price attributes, quadrant II is occupied by Toshiba with attributes of brand image, processor, RAM, feature set, quadrant III is occupied by HP, Dell, Lenovo, Acer, Asus with attributes of laptop resistance to damage, quadrant IV is occupied storage and warranty attributes. There is no laptop in quadrant IV.
Optimasi Sistem Antrian Pada Loket Apotek RSUD Kabupaten Sumbawa Koko Hermanto; Muhammad Zikri Kautsar; Iksan Adiasa; Silvia Firda Utami
Jurnal Matematika Vol 12 No 2 (2022)
Publisher : Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2022.v12.i02.p154

Abstract

Loket pengambilan obat atau apotek menjadi fasilitas yang wajib ada setiap Rumah Sakit. Namun masih banyak terjadi antrian yang cukup ramai pada loket pengambilan obat terutama pada hari sibuk, persoalan tersebut terjadi juga di Rumah Sakit Umum Daerah (RSUD) Kabupaten Sumbawa. Persoalan antrian yang terjadi harus diselesaikan secara optimal agar para penebus merasa puas terhadap pelayanan yang diberikan. Oleh karena itu penelitian ini bertujuan untuk mengevaluasi sistem antrian pada loket pengambilan obat menggunakan metode teori antrian. Berdasarkan hasil analisis, bahwa sistem antrian eksisting yaitu penggunaan satu loket layanan atau single channel single phase masih belum optimal dalam mengatasi jumlah antrian pada loket pengambilan obat di setiap hari kerja karena masih terdapat steady state (?) lebih besar dari satu yang berarti masih terdapat jumlah penebus obat masih mengantri lama di sistem. Oleh karena itu diusulkan untuk menambah satu pelayanan menjadi dua loket pelayanan pada setiap hari kerja sehingga memenuhi kondisi steady state (?) dan diperoleh jumlah penebus obat dalam antrian (Lq) adalah 1 penebus sampai 2 penebus, sedangkan waktu tunggu penebus obat dalam antrian (Wq) adalah 1,464 menit hingga 2,58 menit.
Analisis Sensitivitas Pada Model Matematika Penyebaran Penyakit Demam Dengue dengan Laju Insidensi NonLinier I Putu Winada Gautama; Ni Kadek Nova Anggarani; I Made Eka Dwipayana; Putu Veri Swastika
Jurnal Matematika Vol 12 No 2 (2022)
Publisher : Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2022.v12.i02.p155

Abstract

Abstract: Dengue fever is a disease that can be fatal if not treated seriously. This disease is transmitted to humans through the Aedes Aegypti mosquito. Mathematical modeling is a tool used to understand the dynamics of dengue fever. Incomplete data creates uncertainty in the parameter values of the mathematical model. Uncertainty analysis to determine these parameters using sensitivity analysis. This study found that the bite rate of susceptible and infected mosquitoes and the mosquito death rate have a large influence on changes in the value of . Human recovery rate (r), mosquito mortality rate , and human mortality rate have a major influence on infected human individuals . The bite rate of susceptible and infected mosquitoes has the most positive influence on the number of infected mosquitoes . The mortality rate of mosquitoes had the most negative relationship with the number of mosquitoes infected with . Numerical simulations are carried out to determine the dynamics that occur when parameter values are increased or decreased. Keywords: Sensitivity Analysis, Dengue Fever, Mathematical Modeling
Forecasting Monthly Inflation Rate in Denpasar Using Long Short-Term Memory Sumarjaya, I Wayan; Susilawati, Made
Jurnal Matematika Vol 13 No 1 (2023)
Publisher : Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2023.v13.i01.p157

Abstract

One of indicators of economic stability of a country is controlled inflation. In general, inflation provides information about the rise of goods and services in a region within certain period which has strongly related with people’s ability to purchase. The Covid-19 pandemic has affected almost any sectors especially the consumer price in-dex. Bali, as a major tourist destination in Indonesia, has severely affected by the pandemic. Information about future inflation rate plays important role in determining the correct decision regarding economic policy. The aim of this research is to fore-cast inflation rate in Denpasar using deep learning method for time series. Deep learning, a part of machine learning, consists of layers of neurons that are designed to learn complex patterns and is able to make forecasting. In this research we de-ployed a special type of recurrent neural networks called long-short term memory (LSTM) that is suitable for use in time series analysis. We stacked the networks into two, three, and four layers to add capacity and to build deep networks for inflation rate series. A grid search for each layer is conducted to obtain optimal hyperparame-ters setting. We conclude that the optimum architecture for setting for this deep net-work is stacked two LSTM layers. The monthly inflation rate forecasts suggest the in-flation for 2022 fluctuates, but below one percent.
Analisis Sistem Antrean Pelayanan Administrasi Pasien di Klinik dr. Asih Krustiyani, Probolinggo, Jawa Timur Kharis, Selly Anastassia Amellia
Jurnal Matematika Vol 13 No 1 (2023)
Publisher : Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2023.v13.i01.p156

Abstract

The discussion taken in this research is "How is the queue system for patient administration services at the Dr. Asih Krustiyani clinic in Probolinggo City". The purpose of this research is to determine the patient queue administration service system at dr. Asih Krustiyani Probolinggo. From the results of the calculation of the performance analysis of the queuing system using the Single Change Single Phase (M/M/1) method. On Mondays, the most patients who come, the highest average is at 19.00 - 20.00 WIB, where the average time required for patients to wait the longest in the queue is 0.09 minutes and the shortest time is 20.00 - 21.00 WIB for 0, 04 minutes. The longest time required by the patient on the system is 0.14 minutes, namely at 19.00 – 20.00 WIB and the shortest time is 0.1 minutes, which is at 18.00 – 19.00 WIB. And 0.061 minutes per patient for the longest waiting time in line with a single server.fluctuated with greater amplitude.
Analisis Klaster Kependudukan di Kota Blitar Menggunakan Metode Fuzzy C-Means Clustering Yumna Salsabila Firdaus; Rachmadania Akbarita; Rizka Rizqi Robby
Jurnal Matematika Vol 12 No 2 (2022)
Publisher : Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2022.v12.i02.p153

Abstract

Blitar City is one of 9 cities in East Java province with an area of 32.58 km2, and has an unequal population distribution in every urban village. There is a difference of 11,719 people between urban villages that have a dense population and a small population. The purpose of this study is to analyze clusters or categorize the population of 21 urban villages in Blitar City by population migration factors, births and mortality. In this study using secondary data obtained from the Blitar City Statistics Centre, namely demographic data in 2019. The methodology used in this study is Fuzzy C-Means (FCM) cluster analysis. FCM is a cluster method in which the existence of each data in a cluster is determined by the degree of membership based on fuzzy logic theory. This method was chosen because it makes it possible to group data that is scattered irregularly. Create a convergent cluster centre using the objective function. The test results were then validated using Partition Entropy, Partition Coefficient and Pseudo F. There were many clusters = 2, 22 iterations, with an objective function of 98252.44. There are 14 urban villages in Group Cluster 1 and 7 urban villages in Cluster 2.
Pengaruh Kontrol Optimal Pada Model Penyebaran Penyakit Menggunakan Runge-Kutta Orde 4 Qomarudin, M. Nur Haqqul; Robby, RR; Akbarita, R
Jurnal Matematika Vol 13 No 1 (2023)
Publisher : Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2023.v13.i01.p158

Abstract

In the area of mathematics, optimal control is a method for making complex and dynamic decisions. In the applications, this theory has been used to many dynamic issues to develop a system's control strategy. For instance, numerous researchers employ optimum control to determine the best circumstances to control a disease and stop the spread of various diseases. As a result, observations will be made in this study about the comparison of an infectious disease spread dynamic system with and without controls. As of this study, observations are produced by providing control construction on the given model and a number of examples of dynamic system problems (with and without control) . As of this writing, observations are made by first giving control to the model that has been created after delivering a number of examples of dynamic system problems. After that, both models received numerical simulations. Based on the observations collected, it is possible to draw the conclusion that a disease's best control, whether achieved by treatment controls or preventive controls like immunizations, depends on the disease's mode of transmission. The spread of infectious diseases can be effectively controlled utilizing treatment processes and preventative processes, such as immunizations, administered widely within the first three months. By accelerating the healing process for infected people and using immunizations in combination, this control can be accomplished. Keywords: Optimal control, numerical simulation, Dynamical system

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