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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 10 Documents
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Search results for , issue "Vol 17, No 1 (2023)" : 10 Documents clear
ANALISIS PENGARUH PROMOSI, HARGA DAN INOVASI TERHADAP KEPUTUSAN PEMBELIAN PRODUK SASIRANGAN MENGGUNAKAN REGRESI LOGISTIK ORDINAL Dhika Nugraha; Dewi Anggraini; Fuad Muhajirin
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 17, No 1 (2023)
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.v17i1.8733

Abstract

Purchasing decision is a very important thing to create an optimal marketing plan. Promotion, price and innovation are factors that influence the decision to buy a product. Home industry craftsmen must be able to determine the right strategy to increase consumer purchasing decisions for a product. This is a problem that requires a solution by identifying the factors that influence purchasing decisions for sasirangan fabric in one of the home industries in Kalimantan Province using the ordinal logistic regression analysis method. Ordinal logistic regression analysis is a regression analysis in which the response variable is in the form of categories. The results of this study obtained one significant predictor variable, namely the price variable with the OR value obtained 1322 times. Assessment of the decision making process of buyer interest for the price of Sasirangan products is mostly in the high category, 1322 times compared to the low category
PENERAPAN METODE SAVING MATRIX DALAM PENENTUAN RUTE TERPENDEK PENGANGKUTAN SAMPAH DI KABUPATEN KUBU RAYA Ikbal Muhaimin; Yundari Yundari; Meliana Pasaribu
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 17, No 1 (2023)
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.v17i1.8031

Abstract

The process of transporting waste from the Waste Disposal Site (TPS) to the Final Disposal Site (TPA) is one of the problems in Kubu Raya district that needs attention. This is because the volume of waste in each TPS in Kubu Raya varies, and the number and capacity of transport vehicles provided by the PUPR Office of Kubu Raya is limited. Of course, these problems affect the distance traveled by the transport vehicle, travel time and costs incurred. Therefore, it is necessary to choose the optimal transportation route. The route is said to be optimal when each TPS is transported one way and does not exceed the capacity of the conveyance, so that the total distance obtained is the minimum total distance. The existing problems are then modeled in mathematical form and solved using the Saving Matrix method. This method combines destination points that can be traversed one way by paying attention to the volume of demand for each destination so as not to exceed the vehicle capacity. Based on the research results obtained four optimal vehicle routes with a total distance of 141.6 km. with details for the distance of vehicle route one which is 41.5 km, vehicle route two is 35.95 km, vehicle route three is 35.9 km, and vehicle route four is 28.25 km. This shows that the application of the Saving Matrix method provides more efficient results compared to the previous route of 162 km
ANALISIS KESTABILAN DAN SOLUSI NUMERIK PADA MODEL SEIR UNTUK PENYAKIT TUBERKULOSIS Azkia Khairal Jamil; Yuni Yulida; Muhammad Ahsar Karim
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 17, No 1 (2023)
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.v17i1.6403

Abstract

One of the infectious diseases that can be modelled into the SEIR model is Tuberculosis (TB), this is because TB has a bacterial incubation period, so it is at this time that a person enters the exposed subpopulation. TB is divided into two types, namely latent TB and active TB. This study aims to explain the formation of the SEIR Model for the Spread of Tuberculosis, determine the equilibrium point and Basic Reproductive Numbers on the SEIR Model for the Spread of Tuberculosis, analyze the stability of the SEIR Model for the spread of Tuberculosis at the equilibrium point, and make numerical simulations. The result of this research is the formation of a mathematical model on the spread of Tuberculosis, and from the model obtained two equilibrium points, namely the disease-free equilibrium point and the endemic equilibrium point. Then the basic reproduction number ( ) was found through the Next Generation Matrix. Furthermore, the stability analysis was carried out at the disease-free equilibrium point and it was found that the local asymptotic stable model with , while at the endemic equilibrium point it was found that the local asymptotic stable model with . Numerical simulations are presented to show numerical solutions and strengthen the explanation of the stability analysis of the model using the fourth-order Runge-Kutta method with parameters that meet the stability requirements.
PROOF OF ALGEBRAIC STRUCTURES (RINGS AND FIELDS) WITH JAVA PROGRAMMING Ngarap Imanuel Manik; Deshinta Puspa Ayu Dwi Argaswari
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 17, No 1 (2023)
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.v17i1.8580

Abstract

Many branches of algebraic structures, such as rings and fields, are difficult to comprehend and undesirable due to their abstract character. The testing of algebraic structures can be aided by a computer software application, which makes it simpler and more fun to learn algebraic structures. This program is expected to make algebraic structural proofing easier, faster, and more accurate than manual proof. Users and the software in the application are connected through the Cayley table. The Java programming is just used to demonstrate the algebraic structures of rings and fields. The application program's proof results for the subject showed correct results with a quick processing time when compared to manual processing.     
MODIFIKASI HILL CIPHER DENGAN MENGGUNAKAN MATRIKS KUNCI ORTHOGONAL DAN TRANSPOSITION SUBSTITUTION LEFT RIGHT SHIFT (TSLRS) Yuniardi Wahyu Nugraha; Thresye Thresye; Oni Soesanto
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 17, No 1 (2023)
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.v17i1.9232

Abstract

Matrix is a collection of components arranged in rows and columns, concept of a matrix can be used in solving a problem related to cryptography. A mathematician named Lester Hill created a polyalphabetic cryptographic system called the Hill Cipher. Hill cipher is an algorithm that in its process uses a matrix with size (a × a) as the key matrix. The classic Hill Cipher has the disadvantage that the operation used is not complicated. In this study, the classic Hill Cipher will be modified by using an orthogonal matrix as the key matrix, as well as adding several other operations such as transposition, substitution, and bit shift. This study compares the performance of the traditional Hill Cipher and the modified Hill Cipher in terms of cryptographic techniques on data(text). This research was conducted by encrypting and decrypting the classic Hill Cipher and modified Hill Cipher using similar data (text). Furthermore, a simulation will be carried out using Matlab so that it can use data (text) with a larger size. The results obtained are Hill Cipher which has been modified using an asymmetric cryptographic system, that is in left-right shift process so that the matrix keys will be different when use for encryption and decryption. Because it uses a different key in the encryption and decryption process, thus increasing the level of difficulty in decoding the message.
BILANGAN KROMATIK EQUITABLE PADA GRAF BINTANG, GRAF LOLIPOP, DAN GRAF PERSAHABATAN Yuda Praja; Fransiskus Fran; Nilamsari Kusumastuti
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 17, No 1 (2023)
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.v17i1.8869

Abstract

Let G be a connected and undirected graph. Vertex coloring in a graph G is a mapping from the set of vertices in G to the set of colors such that every two adjacent vertices have different colors. There are many types of vertex coloring, such as complete coloring, k-differential coloring, and equitable coloring. Equitable coloring of G is a vertex coloring of G that satisfies the condition that for each induced color class it has an equitable cardinality with difference 0 or 1. The minimum number of colors used for such coloring of G is called the equitable chromatic number of G, denoted by χe(G). In this study, we only concern with graphs that have a central vertex, which means a vertex that is adjacent to every other vertex, in particular on the star graph (Sn), lollipop graph (Ln), and friendship graph (fn). This research aims to formulate the equitable chromatic number of the star graph (Sn), lollipop graph (Ln), and friendship graph (fn). The first step taken in this research is to apply vertex coloring to Sn, Ln, and fn. After that, the color classes of the vertex set are obtained and its cardinality is determined. Next, analyze that the applied vertex coloring meets the definition of equitable coloring. Then, prove that the number of colors used is minimum. Thus, the chromatic number for each graph is obtained and proved. Based on this research, the equitable chromatic number of Sn is ⌈n/2⌉ + 1, the equitable chromatic number of Ln is n, and the equitable chromatic number of fn is 3, for n = 1 and n + 1, for n ≥ 2.
ANALISIS VALUE AT RISK PORTOFOLIO SAHAM LQ45 DENGAN METODE SIMULASI MONTE CARLO CONTROL VARIATES Westi Widiyatari; Evy Sulistianingsih; Wirda Andani
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 17, No 1 (2023)
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.v17i1.9536

Abstract

Value at Risk (VaR) with the Monte Carlo (MC) simulation is an estimate of the maximum loss over a given period of time and with a specific degree of confidence. MC VaR uses the Control Variates (CV) technique which is one of the reduction techniques in the MC method to improve the efficiency of VaR estimation. This study also aims to analyze the risk of the LQ45 indexed stock portofolio with Monte Carlo Control Variates (MCCV) VaR. In addition, this study compares MCCV VaR with standar MC VaR. The closing prices of the shares of PT Bank Negara Indonesia Tbk (BBNI) and PT Bank Central Asia Tbk (BBCA) were the source of the data for this study. The 95% confidence level is used for this study to estimate one-day MCCV VaR. The results obtained show that MCCV is able to reduce the variance of the estimate more quickly than the standar MC VaR. Thus, MCCV VaR is more efficient than the standard MC VaR.
SIFAT SUBGRUP NORMAL DARI ANTI SUBGRUP NORMAL FUZZY Cendikia Hira; Saman Abdurrahman; Thresye Thresye
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 17, No 1 (2023)
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.v17i1.9135

Abstract

A fuzzy set is a concept theory that provide a solution of problem that cannot be explained by crisp set. Along with time, research of a fuzzy set are combined with algebra that produce fuzzy algebra. One of the research is a fuzzy subgroup and fuzzy level subset. The other research is an anti fuzzy subgroup that is inspired by a fuzzy subgroup. The purpose of this research is to write further study of anti fuzzy subgroup properties by induction of properties of fuzzy algebra such as fuzzy set, fuzzy subgroup, and anti fuzzy subgroup. The research procedure is to study the basic concept of fuzzy set, fuzzy subgroup, and anti fuzzy subgroup. Using that concept to proof the properties of the anti fuzzy subgroup. The conclusions are in the anti fuzzy subgroup, set  with  anti fuzzy subgroup is a subgroup of a group  that can be applied to complement of  and normal anti fuzzy subgroup closely related to anti fuzzy left coset, right coset, and middle coset.     
PERAMALAN JUMLAH PRODUKSI BATUBARAMENGGUNAKAN METODE ARIMA (STUDI KASUS: PT ARUTMIN INDONESIA SITE ASAM-ASAM) Gadys Nauli Simanjuntak; Nur Salam; Maisarah Maisarah
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 17, No 1 (2023)
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.v17i1.9288

Abstract

In the world of industry and investment, the mining sector has an important role in producing natural resources in Indonesia. South Kalimantan Province is one of the regions which is very famous for being rich in natural resources, especially in the mining sector, especially energy minerals in the form of coal. In recent years, coal production at PT. Arutmin Asam Asam experienced an unstable amount of production. This study aims to obtain the best model and predict the amount of coal production at PT Arutmin Indonesia Site Asam-Asam, South Kalimantan Province using the ARIMA (Autoregressive Integrated Moving Average) method. The best Autoregressive Integrated Moving Average (ARIMA) method for predicting coal production at PT Arutmin Indonesia Site Asam-Asam is the ARIMA model (2,1,3) with a smaller Root Mean Square Error (RMSE) compared to other models, namely 92029.74. Forecasting results of coal production at PT Arutmin Arutmin Site Asam-Asam from January to August 2023 tend not to indicate stability or there will be increases and decreases in the forecasting results obtained.
UKURAN RISIKO ATAS PERTANGGUNGAN DENGAN BESAR KLAIM YANG TERMODIFIKASI Aprida Siska Lestia
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 17, No 1 (2023)
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.v17i1.9051

Abstract

Coverage modifications results in the amount of payment or reimbursement of claims not being the same as that proposed by the policyholder. Determination of the deductible causes claims below that value to be borne by the policyholder. Meanwhile, setting a policy limit results in a maximum value for claims borne by the insurance company (maximum covered loss). The size of risk as an important value in risk management, which in its determination depends on the distribution of losses in the form of claims, will also be affected by coverage modifications. In this study, risk measure was determined based on the standard deviation and value at risk that using quantile values. In addition, a risk measure is also determined in the form of a conditional tail expectation which is the average value of the loss over a certain quantile and the risk measure is based on a proportional hazard transformation. The size of the risk is determined by the coverage modified by the deductible and policy limit. Apart from that, it is also taken into account that there may be inflation, which of course will also have an impact on the distribution of claims. The observed claim size is known to have a Weibull distribution with certain parameter values, which heavy tailed. The results obtained indicate that modifications in the form of setting deductibles and policy limits have an impact on the magnitude of all risk measures obtained.

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