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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 6 Documents
 1 
Search results for , issue "Vol. 15(1), 2021" : 6 Documents clear
PENGGUNAAN JUMAN & HOQUE METHOD (JHM) PADA PENENTUAN SOLUSI AWAL MASALAH TRANSPORTASI Andry Nor Indrawan; Pardi Affandi; oni Soesanto
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol. 15(1), 2021
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (576.108 KB) | DOI: 10.20527/epsilon.v15i1.2876

Abstract

Transportation problems are related to the efficient process of distributing goods by a company or industry. The purpose of solving transportation problems is to minimize the costs incurred in the process of distributing goods from several sources (supply) to several destinations (demand). One way to solve transportation problems is to find an initial feasible solution, continued by finding the optimal solution. This research was done by finding an initial feasible solution using the JHM (Juman & Hoque Method) for both the case of solving balanced transportation problems and unbalanced transportation problems. The method has the characteristic in the initial allocation process starting at the cell with the smallest cost in each column as much as the quantity of each demand. In addition, identification of whether the row if occupied or not was done based on the allocation for each row to the quantity of each inventory. This research aimed to explain about solving transportation problems by determining the initial feasible solution using JHM and performing optimality test using potential method. The methods of this research was to identify categories of transportation problems, determine the initial solution using JHM, and test the optimality using potential method. Based on the results of this research, JHM model may be used to solve transportation problems. In the steps of JHM there are explanations of some theorem regarding the selection of the column and row which will be the first to be processed to determine the value of intial solution of transportation problems. The initial solution by using JHM tends to approach the value of optimal solution after test of optimality was done by using the potential method.
MODEL MATEMATIKA PENYEBARAN PENYAKIT DEARE DENGAN ADANYA TREATMENT Vika Astuti; Yuni Yulida; Thresye Thresye
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol. 15(1), 2021
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (389.548 KB) | DOI: 10.20527/epsilon.v15i1.3152

Abstract

Diare (diarrhea) merupakan suatu penyakit lingkungan dengan faktor penyebab yang paling dominan adalah pembuangan tinja dan sarana air bersih. Dua faktor tersebut akan berinteraksi bersamaan dengan perlakuan manusia. Jika lingkungan tercemar virus atau bakteri kemudian ditambah dengan perlakuan manusia yang tidak sehat dengan melalui apa yang mereka makan juga minum, maka akan mendatangkan penyakit diare. Individu yang terinfeksi penyakit diare dapat diberikan perlindungan untuk melawan infeksi melalui pengobatan (treatment). Penyakit diare tersebut dapat dinyatakan melalui model SIR tetapi model tersebut tidak cukup untuk menyelesaikan permasalahan ini maka dilakukan pengembangan model tersebut dengan menambahkan adanya kompartemen Treatment. Tujuan dari penelitian ini yaitu membentuk model kemudian menentukan solusi positif, setela itu menentukan ekuilibrium, menentukan nilai Basic Reproduction Number dan yang terakhir menentukan kestabilan model matematika penyakit diare dengan adanya treatment. Pada penelitian ini nilai Basic Reproduction Number ditentukan menggunakan Next Generation Matrix, sedangkan analisa kestabilan di sekitar ekuilibrium penyakit menggunakan nilai eigen dari Matriks Jacobian. Hasil dari penelitian ini adalah terbentuknya model diare dengan adanya treatment dan diperoleh solusi positifnya. Kemudian ekuilibrium bebas penyakit pada model ini stabil asimtotik lokal jika  dan ekuilibrium endemiknya yaitu stabil asimtotik lokal jika  dan syarat tambahan. Simulasi model diberikan menggunakan paramater-paramter yang bersesuaian dengan syarat pada analisa kestabilan. 
BIPLOT ANALYSIS ON PRINCIPAL COMPONENTS OF HUMAN DEVELOPMENT IN ASEAN COUNTRIES Deva A. Nurul Huda; Pardomuan Robinson Sihombing
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol. 15(1), 2021
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (323.437 KB) | DOI: 10.20527/epsilon.v15i1.3673

Abstract

The Human Development Index (HDI) has been the key indicator for assessing the development of a country throughout the years. It is conducted from four indicators that represent the health dimension, the education dimension, and the standard of living dimension. In ASEAN countries, the HDI tends to rise from year to year, with some countries can achieve the very high and high level of human development, while the others are still in the medium level. The aim of this study is to find the information about relative positions, characteristic similarities between ASEAN countries and the diversity of the components that construct the human development index. The Principal Component Analysis Biplot used divides the ten countries into four groups. Group 1 are the countries with the high scores especially in GNI per capita, group 2 are the ones with high scores especially in the mean years of schooling, group 3 have low scores especially in GNI per capita, and group 4 have low scores especially in the mean years of schooling
STRUKTUR HEMIRING Noviliani Noviliani; Saman Abdurrahman; Na'imah Hijriati
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol. 15(1), 2021
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (362.816 KB) | DOI: 10.20527/epsilon.v15i1.2855

Abstract

Hemiring is a non-empty set  which is equipped with the addition operation " " and the multiplication operation " " and satisfied four conditions, namely:  is a commutative monoid with an identity element of ,  is semigroup, satisfied distributive properties the multiplication over addition on both sides, and satisfied    for each . There are several types of hemiring such as idempotent hemiring, zerosumfree hemiring, simple hemiring and others. In this paper, it discusses the sufficient and necessary conditions of a hemiring that is said to be commutative and said to be simple, prove the characteristics of the operation in zerosumfree hemiring, idempotent hemiring, and simple hemiring.
PEMODELAN PENYAKIT DIFTERI DI SUMATERA BARAT MENGGUNAKAN REGRESI ZERO INFLATED DAN REGRESI HURDLE Fitri Mudia Sari; Pardomuan Robinson Sihombing
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol. 15(1), 2021
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (532.751 KB) | DOI: 10.20527/epsilon.v15i1.3676

Abstract

Data that states the number of events in a certain period of time is called count data. Poisson regression is one of the regression models included in the application of GLM that can be used to model the count data. In Poisson regression, there are assumptions that must be met, namely the mean and variance of the response variables must be the same (equidispersion). Several models that are able to overcome overdispersion due to excess zero are the Zero Inflated model and the Hurdle model. This study examines the characteristics of parameter estimation in the modeling of quantified data that is overdispersed due to excess zero using the Zero Inflated Poisson (ZIP), Zero Inflated Negative Binomial (ZINB), Hurdle Poisson (HP) model and the Hurdle Negative Binomial (HNB) model in cases of diphtheria. in West Sumatra in 2018. Based on individual parameter testing and AIC values, the HP model provides better performance than the ZIP, ZINB, and HNB models. So the Hurdle Poisson model is better used in this case than other models
BILANGAN RAINBOW CONNECTION PADA GRAF-H Ayu Nanie Maretha; Muhammad Mahfuzh Shiddiq; Na'imah Hijriati
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol. 15(1), 2021
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (501.079 KB) | DOI: 10.20527/epsilon.v15i1.3174

Abstract

Pada teori graf terdapat konsep pewarnaan yaitu pewarnaan sisi dan pewarnaan titik. Apabila ada dua titik yang terhubung oleh lintasan rainbow maka pewarnaan sisi graf disebut rainbow connected. Bilangan rainbow connection yang dinotasikan dengan rc(G) adalah bilangan terkecil dari warna yang dibutuhkan agar terbentuk graf bersifat rainbow connected. Pewarnaan titik pada graf disebut rainbow connected jika sebarang dua titik pada graf berwarna titik dihubungkan oleh lintasan rainbow vertex. Bilangan rainbow vertex connection yang dinotasikan dengan rvc(G) adalah bilangan terkecil dari warna yang dibutuhkan agar terbentuk graf bersifat rainbow vertex connected. Graf- merupakan graf yang berbentuk seperti huruf . Operasi korona merupakan cara untuk menghasilkan dua buah graf menjadi suatu graf baru. Tujuan dari penelitian ini adalah menentukan bilangan rainbow connection dan bilangan rainbow vertex connection pada graf-H. Hasil penelitian yang diperoleh yaitu bilangan rainbow connection pada graf-H yaitu 2n-1 , bilangan rainbow vertex connection pada graf-H yaitu 2n-4 dan bilangan rainbow vertex connection pada graf  H korona mK_1 adalah 2n.

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