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Yuni Yulida
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Mathematics Department, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat University. Jl. A. Yani KM.35.8 Banjarbaru, Kalimantan Selatan
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INDONESIA
Epsilon: Jurnal Matematika Murni dan Terapan
Published by Universitas Lambung Mangkurat
ISSN : 19784422     EISSN : 26567660     DOI : http://dx.doi.org/10.20527
Core Subject : Science, Engineering,
Decision Sciences, Operations Research & Management Transportation
Jurnal Matematika Murni dan Terapan Epsilon is a mathematics journal which is devoted to research articles from all fields of pure and applied mathematics including 1. Mathematical Analysis 2. Applied Mathematics 3. Algebra 4. Statistics 5. Computational Mathematics
Arjuna Subject : Matematika - Matematika Terapan
Articles 240 Documents
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KLASIFIKASI SEBARAN SPASIAL HOTSPOTS DI KALIMANTAN BARAT MENGGUNAKAN METODE SUPPORT VECTOR MACHINE Naomi Nessyana Debataraja; Evi Nopita Sari; Joannes Fregis Philosovio Anugrahnu; Claudia Bella Hardiana
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 19, No 1 (2025)
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/epsilon.v19i1.14682

Abstract

Forest fires are a serious environmental issue that often leads to significant ecological and economic damage. In response, efforts have been made to predict and mitigate the impact of forest degradation by improving classification techniques. This study aims to use Support Vector machine (SVM) method to analyze the spatial distribution of forest fires in West Kalimantan. The model uses historical hotspot data as the dependent variable and considers various independent variables, including slope, topography, distances from rivers, settlements and roads, and land cover types. Due to the non-linear nature of the data, the SVM has been enhanced using the Gaussian Radial Basis Function (RBF) kernel. Optimal performance was achieved with cost (c) parameter values of 2, resulting in a classification accuracy of 75.86%. These findings suggest that, when supported by an appropriate kernel function, SVM is a viable and effective approach for mapping and analyzing forest fire-prone areas. The model provides a valuable decision-making tool for forest fire prevention and land management planning in regions with similar environmental characteristics.
ANALYZING COVID-19 DYNAMICS IN TWO NON-INTERACTING REGIONS THROUGH A STRUCTURED COMPARTMENTAL MODEL Muhammad Afief Balya; Dipo Aldila; Yuni Yulida; Sila Rizqina; Pardi Affandi
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 19, No 1 (2025)
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/epsilon.v19i1.15383

Abstract

COVID-19 is an infectious disease caused by the corona virus. Corona Virus or Severe Acute Respiratory Syndrome Coronavirus 2 (SARS-CoV-2) is a virus that attacks the respiratory system. This paper will discuss the effect of the absence of human mobility on the spread of COVID-19. The proposed model consists of ten compartments, including susceptible, exposed, infected (symptomatic and asymptomatic), and recovered individuals in both regions. The model construction in this paper is quite simple, namely it does not involve human mobility at all. This is important because by understanding the characteristics of COVID-19 in a closed population, the spread of COVID-19 locally can be anticipated. Both analytical and numerical approaches are used. The numerical study involves elasticity analysis to identify key influential parameters and autonomous simulations to observe the long-term behavior of the system.
PEMODELAN SEMIVARIOGRAM DAN PREDIKSI KELEMBABAN TANAH MENGGUNAKAN METODE KRIGING DI KABUPATEN BUTON TENGAH Salim Salim; Halidin Halidin; Arbain Arbain; Ansar Ansar
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 19, No 1 (2025)
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/epsilon.v19i1.14172

Abstract

Soil moisture is an important element for the agricultural or plantation hydrological cycle. Soil moisture has different variations for each location or observation area. This variation can show a certain pattern or spatial dependence between observations. The tool for measuring this spatial dependence is a semivariogram. The semivariogram is needed to build a model that can interpolate or predict variables at locations around unknown observations. The method of interpolating or predicting variables at this location is called the kriging method. Several kriging methods that are often used based on the average assumption are: Simple Kriging, Ordinary Kriging and Universal Kriging. Simple Kriging assumes that the mean is constant and known, Ordinary Kriging assumes that the mean is constant and unknown, while Universal Kriging assumes that the mean is not constant and changes according to location. In this case, semivariogram modeling and the kriging method will be applied to predict soil moisture in Central Buton Regency. that is the Exponential Semivariogram model good enough to describe the spatial configuration of potential earthquake strength in the Banda Sea using the Ordinary Kriging method. The research results show that matching the semivariogram model for the three models, including the Spherical, Exponential and Gaussian models, shows different accuracy in describing spatial patterns of soil moisture in Central Buton Regency. The three models have the same sill of 0.6783, indicating the maximum level of variation between observation locations is reached after a certain distance.
PENERAPAN METODE ANALYTICAL HIERARCHY PROCESS (AHP) DALAM ANALISIS PREFERENSI TRANSPORTASI ONLINE MAHASISWA KOTA MEDAN Katrin Jenny Sirait; Desmon Gunadi Siagian
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 19, No 1 (2025)
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/epsilon.v19i1.15180

Abstract

The development of technology continues to grow so that it has brought significant changes in various aspects of life including in the field of transportation. The use of online transportation services is increasing among students as a fast, efficient, and economical mobility solution. Each online transportation service offers different features, services, and prices so that it requires more attention in choosing the right platform. This study aims to analyze the factors that influence the selection of online transportation services, especially Grab, Gojek, Maxim, and InDriver, which are used by students in Medan City using the Analytical Hierarchy Process Method (AHP to help complex decision making by breaking down problems into several hierarchical levels and comparing elements in pairs. In the context of online transportation preferences, AHP is applied to analyze and determine which transportation service best suits students' needs based on several main criteria. The criteria used are price, comfort, safety, and time. While the alternatives used are Grab, Gojek, Maxim, and InDriver. The data collection technique used is by distributing questionnaires to students in Medan City. The results of the AHP analysis reveal that based on the price criterion, InDriver ranks highest with a score of 0.33. For the comfort criterion, Grab ranks first with a score of 0.36. Regarding the safety criterion, Gojek is ranked first with a score of 0.36, and for the time criterion, Gojek again ranks highest with a score of 0.31. Therefore, this research is expected to provide useful recommendations for students and stakeholders in selecting the most appropriate online transportation service in Medan
PERAMALAN KUALITAS UDARA KOTA BANDUNG DENGAN METODE FUZZY MAMDANI DAN ALGORITMA GENETIKA-FUZZY TIME SERIES Fidela Neysa Kaulika; Kartika Yulianti; Entit Puspita; Rini Marwati
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 19, No 1 (2025)
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/epsilon.v19i1.14891

Abstract

Air quality is an important element that has a significant impact on human health and comfort as well as environmental sustainability. Bandung City, as one of the major cities in Indonesia, has experienced a significant increase in the volume of motorized vehicles and the number of industrial plants, which has led to a decrease in air quality. This research aims to forecast air quality in Bandung City using the fuzzy time series method optimized by a genetic algorithm. The parameters that determine air quality used include PM2.5 concentration, PM10 concentration, and NO2 concentration. In this research, fuzzy logic is applied to process the historical data of these parameters into output data in the form of air quality estimation by forming a Fuzzy Inference System (FIS) using fuzzy Mamdani. The results showed that the combined genetic algorithm and fuzzy time series method produced more accurate air quality forecasting than the fuzzy time series method alone, with a Mean Absolute Percentage Error (MAPE) accuracy rate of 8,52%, which is included in the excellent and successful forecasting category
PENERAPAN MODIFIKASI ALGORITMA WARNSDORFF DALAM IDENTIFIKASI LINTASAN DAN SIRKUIT HAMILTON PADA GRAF SEDERHANA Fadilatul Amalia; Nilamsari Kusumastuti; Yudhi Yudhi
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 19, No 1 (2025)
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/epsilon.v19i1.14263

Abstract

Graph Hamilton is one of the concepts in graph theory related to a path that visits each vertex exactly once before returning to the starting vertex in the case of a Hamiltonian circuit. This research focuses on determining whether a graph has a Hamiltonian path or circuit using the Warnsdorff algorithm. The Warnsdorff algorithm was originally developed to solve the Knight’s Tour problem on a chessboard by selecting the vertex with the smallest degree to reduce the likelihood of getting stuck without any further moves. However, this algorithm has a weakness as it does not always succeed in finding a Hamiltonian path in various types of graphs. Therefore, this study modifies the Warnsdorff algorithm by implementing a strategy of selecting the starting vertex based on the smallest degree and applying a re-search mechanism if a Hamiltonian path is not found. If the path is still not found, the starting vertex is replaced with the next smallest-degree vertex until a path is found or all possibilities have been tested. This modification is expected to increase the algorithm’s chances of finding a Hamiltonian path compared to the unmodified Warnsdorff algorithm. The research methodology includes applying the modified Warnsdorff algorithm to various simple graphs and analyzing its performance in finding Hamiltonian paths. The results show that the modified Warnsdorff algorithm can identify Hamiltonian paths in certain graph structures. This modification not only improves the success rate of finding Hamiltonian paths but also reduces the number of steps in some cases, with potential applications in route optimization and network design. The conclusion of this study confirms that although modifying the Warnsdorff algorithm improves its success in finding Hamiltonian paths, further development is still necessary to make it more reliable in handling graphs with more complex structures.
MODEL SEIDR DALAM STUDI PENYEBARAN TUBERKULOSIS: ANALISIS INTERVENSI DIAGNOSIS DAN DAMPAKNYA TERHADAP DINAMIKA INFEKSI Sila Rizqina; Muhammad Afief Balya; Yuni Yulida; Muhammad Ahsar Karim; Hermei Lissa
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 19, No 1 (2025)
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/epsilon.v19i1.15641

Abstract

Pulmonary Tuberculosis (TB) is a contagious infectious disease caused by Mycobacterium tuberculosis. A person with tuberculosis serves as a source of transmission to the surrounding population. One way to minimize the transmission is through the implementation of effective diagnostic intervention. One approach to understanding the dynamics of TB spread is through the SEIDR epidemiological mathematical model, which includes susceptible, exposed, infectious, diagnosed, and recovered individuals. This study begins by explaining the construction of the SEIDR model, followed by determining the disease-free equilibrium point, the basic reproduction number, local stability analysis of the disease-free equilibrium, and sensitivity analysis. The final step involves conducting numerical simulations and interpreting the results obtained. There are two equilibrium points derived from the model: the disease-free equilibrium and the endemic equilibrium. The disease-free equilibrium point is asymptotically stable if the basic reproduction number is less than one, while the endemic equilibrium point is determined through simulation. Based on the simulation, it is found that the system experiences an outbreak when the basic reproduction number is greater than one. Sensitivity analysis shows that the birth rate has the highest positive influence on the basic reproduction number, while the natural death rate has the highest negative influence on the basic reproduction number. Numerical simulation results show that when transmission is high, the number of diagnosed individuals increases sharply, while the susceptible and exposed populations decrease drastically; conversely, if transmission is suppressed, active cases decline until they are completely eliminated. Therefore, effective interventions are crucial to reduce transmission and to strengthen diagnostic systems in order to achieve TB elimination at the population level
OPTIMASI MULTI OBJEKTIF DAN ANALISIS PEMBENTUKAN PORTOFOLIO SAHAM JAKARTA ISLAMIC INDEX (JII) MENGGUNAKAN METODE NADIR COMPROMISE PROGRAMMING (NCP) Khairina Auliannisa; Evy Sulistianingsih; Neva Satyahadewi
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 19, No 1 (2025)
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/epsilon.v19i1.14198

Abstract

Multi-objective problems involve multiple objective functions to solve complex problems, and the Nadir Compromise Programming (NCP) method is one way to solve these problems. These problems. Compared to other multi-objective methods, the NCP method has several advantages. Firstly, the weighting in the NCP method can utilize specific parameters to produce an effective optimal portfolio. Additionally, the optimum value of the risk coefficient can be achieved, thereby minimizing large losses. Achieved so as not to cause significant losses. When investing, several essential things need to be considered to achieve an optimal portfolio. These objectives include reducing risk, increasing potential returns, and reducing the amount of capital invested. This study aims to examine the application of the NCP method in solving multi-objective optimization problems for stock portfolios, utilizing monthly stock closing prices from May 2019 to May 2023. In this analysis, the monthly closing prices of 30 stocks that are members of the JII index are analyzed. Six stocks with positive expected returns and the highest stock ratio were selected to form the optimal portfolio. The stocks are BRIS and SIDO. The solution to this multi-objective problem indicates the proportion of funds allocated to the two stocks: BRIS, with a proportion of 0.341147, and SIDO, with a proportion of 0.658853. The analysis also shows that the optimal risk coefficient is 1, the maximum expected return is 0.014569, and the minimum investment capital is Rp.1067.
SOLUSI NUMERIK PERSAMAAN DIFERENSIAL FRAKSIONAL CAPUTO MENGGUNAKAN POLINOMIAL INTERPOLASI KUADRATIK Zulkarnain Zulkarnain; Imran M; Khozin Mu’tamar; Supriadi Putra
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 19, No 1 (2025)
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/epsilon.v19i1.15269

Abstract

This study investigates the numerical solution of fractional differential equations using the Caputo fractional derivative of order . The proposed method is based on the analytical properties of fractional differential equations, which can be reformulated as nonlinear Volterra integral equations of the second kind. A quadratic polynomial interpolation is employed to approximate the solution of the integral equation. Numerical simulations are conducted to evaluate the accuracy and efficiency of the proposed method and to compare its performance with several existing numerical methods. The numerical simulations indicate that the proposed method performs better than the two benchmark methods over short time intervals, especially when using larger step sizes. This makes it more efficient by reducing the overall computational cost.
PENERAPAN TEORI GRAF DALAM PERMASALAHAN KONEKTIVITAS HABITAT SATWA LIAR DI KAWASAN KONSERVASI KALIMANTAN BARAT Widya Pebrianti; Nilamsari Kusumastuti; Evi Noviani
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 19, No 1 (2025)
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/epsilon.v19i1.14513

Abstract

Kegiatan pembangunan seperti alih fungsi lahan dan pembangunan infrastruktur menyebabkan luas habitat alami satwa liar semakin berkurang, sehingga habitat yang tersisa semakin mengecil dan terpisah satu sama lain. Proses ini disebut fragmentasi, sehingga konektivitas antara habitat dengan kawasan konservasi menjadi penting untuk diperhatikan. Penelitian ini bertujuan untuk merepresentasikan jaringan konservasi dalam bentuk graf untuk mengkaji penerapan teori graf dalam konektivitas habitat satwa liar dan menemukan jaringan kawasan konservasi yang mencakup seluruh spesies yang dilindungi di Kalimantan Barat yang disebut koridor. Metode heuristik digunakan untuk menemukan subgraf terhubung yang mencakup seluruh satwa liar khas Kalimantan Barat yang dilindungi, dimana subgraf terhubung ini merepresentasikan koridor. Langkah pertama yang dilakukan adalah melakukan eksplorasi subgraf dengan cara menambahkan simpul-simpul pada subgraf tersebut, dimulai dari simpul awal hingga seluruh simpul tetangga dengan jarak tertentu hingga kumpulan spesies gabungan yang terdapat pada simpul-simpul subgraf yang ditemukan mencakup seluruh spesies yang dilindungi di Kalimantan Barat. Dilanjutkan dengan membentuk subgraf terinduksi dari subgraf yang diperoleh dari eksplorasi, kemudian melakukan pemangkasan untuk membuang simpul-simpul yang tidak berkontribusi. Hasil penelitian ini menunjukkan bahwa melalui representasi graf dan metode heuristik, dengan menjadikan setiap simpul sebagai simpul awal eksplorasi, diperoleh 11 subgraf terhubung yang mencakup seluruh spesies yang dilindungi di Kalimantan Barat.

Page 24 of 24 | Total Record : 240

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