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All Journal Edumatsains Jurnal Saintek Lahan Kering JATI EMAS (Jurnal Aplikasi Teknik dan Pengabdian Masyarakat) Jurnal Statistika dan Matematika (Statmat) Journal of Mathematics Theory and Applications
Faustianus Luan
Universitas Timor
Agriculture, Biological Sciences & Forestry Humanities Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Chemistry Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Engineering Health Professions Immunology & microbiology Mathematics Physics Public Health Other

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PENYELESAIAN MASALAH INFILTRASI DARI SALURAN DATAR PERIODIK MENGGUNAKAN DUAL RECIPROCITY BOUNDARY ELEMENT METHOD DENGAN FUNGSI BASIS RADIAL Faustianus Luan; Elinora Naikteas Bano
Saintek Lahan Kering Vol 4 No 1 (2021): JSLK JUNI 2021
Publisher : Fakultas Pertanian, Universitas Timor

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32938/slk.v4i1.1375

Abstract

This research discusses the numerical solution of the infiltration problem of the periodic flat channel and is solved using the Dual Reciprocity Boundary Element Method (DRBEM) numerical method with polynomial radial basis functions. DRBEM is a development of the Boundary Element Method, used for PDP solutions in the fields of mathematical physics and engineering. DRBEM has an important role in obtaining a solution to the Helmholtz equation by describing the reciprocal relation between the fundamental solution of the Laplace equation and the solution to be sought. Furthermore, the term containing the double integral in the calculation is approximated by the radial basis function, in order to obtain an equation containing only the boundary integral. The objective of the obtained numerical solution is then compared with the analytical solution obtained by Batu, in order to obtain an accurate solution of the polynomial radial base function for solving the infiltration problem. The mathematical models used in the infiltration problem are the Richards equations, Kirchoff transformation and the dimensionless variables for obtaining the modified Helmholtz equation. The results of the calculation of the numerical solution have shown that the DRBEM with the radial polynomial base function for the number of boundary elements resulting from the discretization and the number of interior collocation points at (N = 200, L = 400) and (N = 225, L = 400) obtained the approximate value ( error) from the six points in the region, indicating that the greater the value of N, the smaller the error. So that for FBR, and the one with the smallest error is , it means that it is close to the FBR used by Batu, is .. Thus, it is concluded that the more discrete line segments result in the region boundary, the numerical solution will approximate the analytical solution. Keywords: Infiltration, modified Helmholtz equation, FBR, DRBEM.
Pengembangan Program Linear Multi-Objektif Fuzzy Stokastik Model Simetris dan Penyelesaiannya dengan Menggunakan Teknik Chance Constrained Ernestina Lalian; Grandianus Seda Mada; Faustianus Luan; Eva Binsasi
Saintek Lahan Kering Vol 4 No 2 (2021): JSLK DESEMBER 2021
Publisher : Fakultas Pertanian, Universitas Timor

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32938/slk.v4i2.1535

Abstract

Linear programming is one method oto determine the optimum value of a problem. Problems of the linear program faced by the decision makers have various variations from time to time. A variety of problems that can be seen as a multi-objective fuzzy linear programming, muli-objective stochastic linear programming, or a combination of both. This study focus on Multi-Objective Fuzzy Stochastic Linear Programming (MOFSLP) with each objective function has a same level of importance for decision makers or name as symmetrical model. The objective function of the MOFSLP contains the fuzzy parameters and normally distributed random variables while the function of constraints contains the fuzzy parameters. The purpose of this research is to formulate MOFSLP and develop algorithms to transform MOFSLP be Single-Objective Deterministic Linear Programming (SODLP) which can be solve using the simplex method. In transforming MOFSLP to SODLP, symmetrical model and also the chance constrained technique are used. In the end of this research, a numerical example is provided to illustrate the algorithm that has been developed. The models and algorithms that have been formed are expected to help decision makers in solving a problem.
APLIKASI ARITMATIKA MODULAR DALAM PENGKLASIFIKASIAN KELAS KONJUGASI GRUP DIHEDRAL ????????� Nugraha Kristiano Floresda Dethan; Faustianus Luan
STATMAT : JURNAL STATISTIKA DAN MATEMATIKA Vol 4, No 1 (2022)
Publisher : Math Program, Math and Science faculty, Pamulang University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32493/sm.v4i1.20408

Abstract

Misalkan ????????2 (ℝ) = {???? = [ ????11 ????12 ????21 ????22 ]: ???????????? ∈ ℝ, ????????????(????) ≠ 0}. Maka jelas bahwa ???? = [ ????????????(2????/????) ????????????(2????/????) −????????????(2????/????) ????????????(2????/????) ] dan ???? = [ 1 0 0 −1 ] merupakan dua elemen dari ????????2 (ℝ). Grup dihedral merupakan grup simetri dari poligon beraturan dengan ???? sisi yang dibangkitkan oleh ???? dan ????. Telah dilakukan suatu kajian terhadap klasifikasi kelas konjugasi dari grup dihedral ????2???? dengan menggunakan arimatika modular. Tulisan ini membahas dan membuktikan beberapa sifat dasar arimatika modular, grup dihedral, kelas konjugasi, dan kemudian kelas konjugasi untuk grup dihedral secara khusus. Hasil yang diperoleh dari kajian ini adalah terdapat tiga jenis kelas konjugasi pada grup dihedral ????2???? untuk ???? ganjil dan empat jenis kelas konjugasi pada grup dihedral ????2???? untuk ???? genap.
Pelatihan Pembuatan Aplikasi E-raport dengan Menggunakan Microsoft Office Excel Bagi Guru-guru SD di Wilayah Insana Fafinesu Grandianus Seda Mada; Faustianus Luan; Oktovianus R. Sikas; Nugraha K. F. Dethan
JATI EMAS (Jurnal Aplikasi Teknik dan Pengabdian Masyarakat) Vol 6 No 3 (2022): Jati Emas (Jurnal Aplikasi Teknik dan Pengabdian Masyarakat)
Publisher : Dewan Pimpinan Daerah (DPD) Perkumpulan Dosen Indonesia Semesta (DIS) Jawa Timur

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.36339/je.v6i3.631

Abstract

The activity of filling in school data, student data, and student final grades in report card at elementary schools in the Insana Fafinesu District, Timor Tengah Utara Regency has been carried out in handwriting (conventional), which have some constraints such as taking a long time to processing grades, has a tendency to miscalculation if the student report card is lost or damaged, it does not have documentation/ back-up documents. For teachers who have sloppy handwriting, it will be difficult for a parent to read. One software that can be used in making student report cards is Microsoft Office Excel. This software is easy to understand and can overcome problems in making student report cards such as the length of time for processing grades, the tendency of grade processing error, difficulties in reading teacher writing by parents, and overcoming problems with documentation/backup documents. This service activity aims to provide training in making e-report card applications using Microsoft Excel for elementary school teachers in the Insana Fafinesu area, Timor Tengah Utara Regency. The methods used in this activity are workshops and ongoing mentoring. As a result, teachers better understand the functions in Microsoft Excel that are useful in the process of filling out student report cards, each teacher succeeds in making their own e-reports, and they agree that e-reports with Microsoft Excel are more efficient and effective than filling out report cards manually (conventional) and will use e-reports in their respective schools. The next plan for this service activity will be an application for Teacher Performance Assessment (TPA) and Employee Work Targets (EWT).
Analisis Sistem Pembayaran Kredit di KSP Kopdit Swasti Sari Cabang Atambua Menggunakan Persamaan Beda Linear Orde Satu Agustinus Mario Bere; Faustianus Luan; Leonardus Frengky Obe
Saintek Lahan Kering Vol 6 No 1 (2023): JSLK JUNI 2023
Publisher : Fakultas Pertanian, Universitas Timor

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32938/slk.v6i1.2154

Abstract

ABSTRACT Giving credit is a business activity that contains a high risk and affects the sustainability of businesses such as cooperatives and banking. The aims of this research are to: (a) knowing the credit decision making system implemented in KSP Kopdit Swasti Sari, (b) knowing the calculation of the remaining credit payments using the first-order linear difference equation. In this study, the method used to calculate the remaining debt for credit payments is a first-order linear difference equation, namely the remaining debt after the first payment is the same as the remaining debt after payment to t plus interest minus annuity. The results of this study indicate that the credit decision-making process is considered worthy of receiving a credit loan if it meets the requirements that have been set at the KSP Kopdit Swasti Sari. The step to calculate the remaining credit payments using a mathematical model is to find the amount of fixed installments from an ordinary annuity with a different loan size, namely Rp 5.000.000, Rp 10.000.000 and Rp 15.000.000. After getting the results from the ordinary annuity, a mathematical model of the remaining credit payments is formed using equation (2.13). The results of the calculation of the remaining credit payments using a mathematical model are as follows: For the first order linear difference equation with a loan size of Rp 5.000.000 after paying the first installment () the remaining debt is Rp 4.900.081 and the remaining debt () of Rp. 8. For a large loan of Rp. 10.000.000 after paying the first installment () the remaining debt is Rp. 9.800.162 and on payment of () the remaining debt is Rp. 16. For a large loan of Rp 15.000.000 after paying the first installment () the remaining debt is Rp 14.700.243 and on payment of () the remaining debt is Rp 24.
PROJECTION GROWTH TWO-WHEELED VEHICLES AT PT. ETERNAL DESIRE OF REPRESENTATIVES YOUR FAME WITH USE EQUALITY DIFFERENTIAL GROWTH MODEL POPULATION CONTINUOUS (EXPONENTIAL MODEL AND LOGISTIC MODEL) Faustianus Luan; Oktovianus R. Sikas; Leonardus Frengky Obe; Natalius Nahak
EduMatSains : Jurnal Pendidikan, Matematika dan Sains Vol 8 No 2 (2024): Januari
Publisher : Fakultas Keguruan dan Ilmu Pendidikan, Universitas Kristen Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33541/edumatsains.v8i2.5412

Abstract

This research explains how to determine the growth model for two-wheeled vehicles entered and sold at PT. Hasjrat Abadi, representative of Kefamenanu. The author uses data obtained from PT. Hasjrat Abadi representing Kefamenanu from 2019 – 2022. This research aims to apply the Differential Equation model Continuous Exponential Model and Logistic Model which are used to predict the growth rate of two-wheelers entered and sold at PT. Eternal Passion of the Ministry of Famennanu Representative . The results of this research show that the exponential III model is the most accurate for predicting the number of vehicles in 2025 in the form of a vehicle equation with a relative growth rate of 21% for incoming vehicles while vehicles with a relative growth rate of 21% per year. In the logistic model, the logistic model I is the most accurate for predicting the number of vehicles coming in and sold in 2025 which will be as many vehicles coming in as the number of vehicles being sold while the number of vehicles being sold . Based on the calculation results of the two models, which has the smallest error (the best model) in predicting the number of two-wheeled vehicles entered and sold at PT. The Kefamenanu Representative's eternal desire in 2025 is a logistics model.
Model Regresi Dummy Indeks Prestasi Akademik Mahasiswa Program Studi Matematika Faperta Unimor Grandianus Seda Mada; Nugraha K. F. Dethan; Faustianus Luan
Journal of Mathematics Theory and Applications Vol. 1 No. 2 (2023): Edisi April 2023
Publisher : Program Studi Matematika, Universitas Timor

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32938/j-math.v1i2.3759

Abstract

One indicator that can be used as a determinant in the quality of higher education is the academic achievement of students. Grade Point Average (GPA) is a measure of the academic performance. GPA gained students can not be separated from the quality of the incoming student input at the college. This study discusses some of the indicators that can be used as a measure of the quality of student input from the academic side, such as the National Examination (NE), the origin of school (public / private), gender and type of college entrance exam (SNMPTN test, SBMPTN test and independent institution test). Because some of these indicators are qualitative so the data analysis used regression analysis with dummy variables. Research conducted on students of Mathematics Study Program, Faculty of Agriculture, Timor University, class of 2017 to class of 2021. From the data processing, obtained regression model: . From the data analysis, concluded that the female students of Mathematics Study Program, Faculty of Agriculture, Timor University, coming from public schools and type of college entrance exam is SNMPTN have the greatest tendency to obtain high GPA compared with other students. In addition, for the regression equation obtained above was 38.2% means that the independent variable in the model can explain the diversity of the GPA of 38.2%.
Optimasi Penugasan Pekerja Menggunakan Metode Hungarian Modifikasi pada Proyek Pembangunan Jembatan X di Kabupaten Timor Tengah Utara Prima Mersi Angela Klaran; Yoseph P. K. Kelen; Fried Markus Allung Blegur; Faustianus Luan
Journal of Mathematics Theory and Applications Vol. 1 No. 1 (2022): Edisi Oktober 2022
Publisher : Program Studi Matematika, Universitas Timor

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32938/j-math.v1i1.3763

Abstract

Assignment problems that are often encountered in local life are problems related to the optimal allocation of various productive resources or personnel that have different levels of efficiency for different jobs. The Hungarian method can be used to solve balanced assignment problems, namely the number of workers is equal to the number of jobs and unbalanced assignments, and namely the number of workers is not the same as the number of jobs. The assignment problem in this study is an unbalanced assignment problem where the number of workers is 90 (ninety) people divided into 4 (four) work teams while the number of work items is as much as 7 (seven) work items. This assignment can be completed by applying a modified Hungarian method with the aim of minimizing work completion time, worker wages and minimizing completion time and worker wages together. From the research results, after using the modified Hungarian method, the optimal total time is 25 days with the optimal total cost of IDR 57,080,000 and the combined completion time and total wages calculated jointly is 87.3.
Analisis Sistem Antrian dalam Optimalisasi Layanan pada Jabalmart Kefamenanu Deoniza Antonia Aprilita Lopez; Oktovianus R. Sikas; Faustianus Luan; Leonardus Frengky Obe
Journal of Mathematics Theory and Applications Vol. 1 No. 2 (2023): Edisi April 2023
Publisher : Program Studi Matematika, Universitas Timor

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32938/j-math.v1i2.3764

Abstract

The number of visitors who come to Jabalmart Kefamenanu causes a long queue in front of the cashier. Queuing discipline applied at Jabalmart Kefamenanu is First In First Out, that is customers who come first will be served first. The form of the queuing model in this study at Jabalmart Kefamenanu is a single-phase multi-chanel, namely two or more service facilities and flows through a sibgle line. The purpose of this research is to optimize service at the cashier at Jabalmart Kefamenanu. As for the results of this study, the average service time at each cashier is quite effective because each cashier has a level of service intensity (. That is cashier I level of service intensity () is 0,63, cashier II level of service intensity () is 0,6 and cashier III level of service intensity () is 0,231, it can be concluded that the optimal level of service at the Jabalmart Kefamenanu cashier is quite effective and has been said to be optimal.
Optimasi Produksi Meubel Menggunakan Metode Simpleks Oktovianus R. Sikas; Arliyanti Irenen Tae; Faustianus Luan
Journal of Mathematics Theory and Applications Vol. 1 No. 2 (2023): Edisi April 2023
Publisher : Program Studi Matematika, Universitas Timor

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32938/j-math.v1i2.4108

Abstract

Currently there are many emerging independent businesses, such as home industries. Olbetsi Furniture is ahome industry that produces household furniture made of wooden planks such as cabinets, chairs and tables.The purpose of this research is to determine the optimal production using the simplex method and to maximizethe cost advantage in the production of Olbetsi furniture using the simplex method. The method used in thisresearch is descriptive method (case study), namely to find out how to solve problems and calculate theproblems that exist in the Olbetsi furniture business. Data collection techniques used in this study wereinterviews and documentation. The results of this study obtained the maximum profit from the production ofcabinets as much as 6.6667≈7 units, while for the production of chairs and tables it was 0 meaning that it didnot need to be produced, to achieve an optimal profit of IDR 4,100,000.-.
Co-Authors Agustinus Mario Bere Arliyanti Irenen Tae Bano, Elinora Naikteas Charles Christian Lake Deoniza Antonia Aprilita Lopez Ernestina Lalian Eva Binsasi Gemagalgani Seran Kristina Sri Ayu Bere Mada, Grandianus Seda Maria Trisilda Kapitan Maria Viany Naikofi Natalius Nahak Nugraha K. F. Dethan Nugraha K. F. Dethan Obe, Leonardus Frengky Oktovianus R. Sikas Prima Mersi Angela Klaran Yoseph Pius Kurniawan Kelen