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Computational Laboratory, Mathematics Department, Faculty of Mathematics and Natural Science, Udayana University UKM Building, UKM room no 8, Kampus Bukit Jimbaran Street, Badung-Bali.
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Jurnal Matematika
Published by Universitas Udayana
ISSN : 16931394     EISSN : 26550016     DOI : https://doi.org/10.24843/JMAT
Core Subject : Education,
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 7 Documents
Search results for , issue "Vol 11 No 1 (2021)" : 7 Documents clear
Diagram Kendali MAD pada Harga Cabai Rawit di Jawa Tengah Yolanda Norasia
Jurnal Matematika Vol 11 No 1 (2021)
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.2021.v11.i01.p134

Abstract

Food price policies affect the stabilization of food prices in Indonesia. The control chart is one of the tools used to measure the stabilization of food prices. The control chart was first introduced by W.A. Shewhart. The Shewhart control chart is divided into two, namely attribute and variable control charts. Shewhart's control chart uses normal distribution assumptions. In the fact, the real data not always follow the normal distribution. Deviations that occur due to large data variability. The MAD control chart is used to observe process variability. The MAD control chart has three horizontal lines, namely the Center Line (CL), Upper Center Line (UCL), and Lower Center Line (LCL). Median Absolute Deviation (MAD) control charts using the median and MAD subgroups. By using the MAD control chart, the increase in chili prices shows that it is not statistically controlled.
Penerapan Kombinasi Genetic Algorithm dan Iterated Local Search Pada Multi-Depot Capacitated Vehicle Routing Problem Inggrid Dwi Safira
Jurnal Matematika Vol 11 No 1 (2021)
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.2021.v11.i01.p135

Abstract

The distribution is a system for distributing goods or products from the company to customers. Multi-depot capacitated vehicle routing problem (MDCVRP) is a variation of the vehicle routing problem (VRP) which is based on distribution problems and MDCVRP is a topic of optimization problems in applied mathematics. In this study, the authors apply a combination of two metaheuristic algorithms, namely the Genetic Algorithm (GA) and Iterated Local Search (ILS), hereinafter referred to as the GA&ILS algorithm. This study aims to analyze the effectiveness and efficiency of the application of the GA&ILS algorithm to solve MDCVRP on 20 simulation data grouped into four sizes (25, 50, 75, and 100 customer points). Based on the results of the research, it was found that the GA&ILS algorithm is quite effective for small-scale data, but less effective for large-scale data. From the results of the analysis carried out, the GA&ILS algorithm still has drawbacks, it is less able to avoid being trapped by the local optimum. In addition, the GA&ILS algorithm requires a long computational time, making it less efficient.
Peramalan Cuaca Menggunakan Metode Rantai Markov (Studi Kasus : Cuaca Harian Di Kota Ambon) Set Sasake; Yopi Andry Lesnussa; Abraham Zakaria Wattimena
Jurnal Matematika Vol 11 No 1 (2021)
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.2021.v11.i01.p131

Abstract

Weather is a state of the air at certain times in certain areas that are relatively narrow and in a short period of time. Weather forecasting is an activity carried out to produce a collection of information about upcoming weather conditions. One method used to predict these conditions is by using the Markov chain method. The Markov chain is a random process in which all information about the future is contained in the present state. The purpose of this study is to model and predict daily weather that will occur over the next week with the Markov Chain model. The data used in this study are Ambon City daily weather data from December 1, 2019, to January 31, 2020, by the Meteorology, Climatology, and Geophysics Agency (BMKG), Ambon City Meteorological Station. Daily weather forecasting results that occur are quite varied but the most dominant weather occurs during the next week that is Cloudy and Light Rain.
Kajian Morfisme Untuk Variasi Kurva Dense Fibonacci Word Anggi Enggar Sari; Kosala Dwidja Purnomo; Firdaus Ubaidillah
Jurnal Matematika Vol 11 No 1 (2021)
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.2021.v11.i01.p136

Abstract

The Fibonacci word is one example of a fractal object. The fractal Fibonacci word has the property of being similar to curves with curves. The curve Fibonacci word generated based on the Fibonacci word sequence. The Fibonacci word sequence can be defined by morphism so that a new sequence with the three-digit rule {0,1,2} is called Dense Fibonacci Word. In this research, the variation of the curve Dense Fibonacci Word generated by using the method L-Systems which applies several morphisms. This research method is divided into five stages, the first is the interpretation of the Dense Fibonacci Word and variations of morphism based on the Fibonacci word sequence. Second, the interpretation of fractals Dense Fibonacci Word using the method L-Systems mathematically. Third, the interpretation of fractals Dense Fibonacci Word using the method L-Systems graphically. Fourth, program making and fifth, analysis of results. The results obtained in this study are the visualization of the curve Dense Fibonacci Word with the method L-Systems, the shape of the curve Dense Fibonacci Word varies by applying several morphisms. The variation of the curve Dense Fibonacci Word is compared to each morphism which results in a different shape of the curve Dense Fibonacci Word in the small generation, but the larger the generation the fractal pattern is the same.
Penerapan Pewarnaan Graf pada Penjadwalan Mengajar Dosen Pendidikan Matematika Universitas Nurul Jadid Olief Ilmandira Ratu Farisi; Siti Maysyaroh; Eka Fitriana Dewi
Jurnal Matematika Vol 11 No 1 (2021)
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.2021.v11.i01.p132

Abstract

Learning schedules arrangement of lecturers in Mathematics Education Nurul Jadid University is still done manually by inserting lecturers' schedules one by one. Consequently, there are overlapping schedules that led to ineffective lecture preparation and cause confusion among lecturers and students. Besides, our Study Program only has two rooms which cause limited scheduling. One of the schedule arrangement techniques is graph coloring. In this technique, each vertex represents the course while the edge represents the course taught by the same lecturers or chosen by the same classes. By graph coloring, there will be an optimal schedule arrangement. In addition, the schedule is easily changed and reassembled in accordance with the group of colors.
Perbandingan Gcv Dan Ubr Dalam Regresi Nonparametrik Multivariabel Luh Putu Safitri Pratiwi; Ni Putu Meina Ayuningsih; Ni Made Dwijayani
Jurnal Matematika Vol 11 No 1 (2021)
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.2021.v11.i01.p137

Abstract

Analisis regresi merupakan alat dalam statistika dan sering dipakai untuk mengintepretasikan sebab akibat antara satu/beberapa variabel prediktor terhadap satu variabel respon. Spline truncated merupakan pendekatan model regresi nonparametrik yang popular dan sering digunakan. Penelitian ini bertujuan sebagai penentu titik knot optimal yang dimana digunakan metode GCV dan UBR. Dalam hal memilih kriteria model terbaik pada penelitian ini dengan menggunakan nilai MSE. Hasil GCV minimum diperoleh sebesar 0,077 serta nilai MSE sebesar 0,036 yang terletak pada model Spline linier tiga knot.
Analisis Regresi Cox Proportional Hazard Untuk Menentukan Faktor-Faktor yang Memengaruhi Lama Studi Mahasiswa Inti Arpen; Yopi Andry Lesnu; A. Z. Wattimena; M. Yahya Matdoan
Jurnal Matematika Vol 11 No 1 (2021)
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.2021.v11.i01.p133

Abstract

Higher education has an important role for students, so that students can pursue their studies and can complete their studies on time. Length of study is the time it takes a student to complete his studies. For undergraduate level (S1) is 4 years and no later than 7 years. There are several factors that influence the length of study of students, namely internal factors and student external factors. The survival analysis method is a statistical method that studies the duration of an event or event that occurs. The Cox regression model is a well-known model in survival analysis for explaining the relationship between individual failure at a time and explanatory variables in the presence of censorship. The results of this study indicate that the factors that influence the length of study of students are the factor of GPA> 3, factors majoring in mathematics, majoring in biology and factors majoring in physics.

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