Jusmawati Massalesse
Departemen Matematika, Universitas Hasanuddin, Makassar, Indonesia

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Tinjauan Algoritma Genetika Pada Permasalahan Himpunan Hitting Minimal Jusmawati Massalesse; Budi Nurwahyu
Jurnal Matematika, Statistika dan Komputasi Vol. 13 No. 2 (2017): January 2017
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (277.957 KB) | DOI: 10.20956/jmsk.v13i2.3503

Abstract

Beberapa persoalan menarik dapat diformulasikan sebagai permasalahan himpunan hitting, khususnya yang berkaitan dengan penentuan himpunan hitting dengan kardinalitas terkecil. Permasalahan ini dikenal sebagai permasalahan himpunan hitting minimal. Di dalam tulisan ini, penentuan himpunan hitting minimal H dilakukan melalui pencarian dengan menggunakan algoritma genetika, yang merupakan salah satu algoritma evolusioner yang banyak digunakan dalam masalah optimisasi. Tinjauan mengenai permasalahan himpunan hitting minimal yang diuraikan di dalam tulisan ini adalah bagaimana mengkodekan parameter ke bentuk kromosom termasuk prosedur evolusi melalui operator-operator genetika yang digunakan.  
Pemaksimalan Papan Sirkuit Di Pandang Sebagai Masalah Planarisasi Graf 2-Layer Menggunakan Algoritma Genetika Jusmawati Massalesse; Muh. Ali Imran
Jurnal Matematika, Statistika dan Komputasi Vol. 14 No. 1 (2017): July 2017
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (420.945 KB) | DOI: 10.20956/jmsk.v14i1.3534

Abstract

Tulisan ini dimaksudkan untuk menyelesaikan permasalahan pencetakan papan sirkuit 2-layer melalui suatu algoritma pencarian yang dikenal sebagai Algoritma Genetika. Tujuannya adalah mendapatkan jumlah jalur terbanyak yang dapat dicetak pada sebuah papan sirkuit 2 layer. Algoritma Genetika melakukan pencarian melalui proses evolusi tiruan dengan menggunakan suatu fungsi ukuran yang disebut fungsi fitness. Proses evolusi dilakukan melalui simulasi dengan bantuan komputer menggunakan software Mathlab. Representasi permasalahan dinyatakan dalam graf Kn. Di dalam tulisan ini, diambil graf K10 sebagai contoh kasus. Setelah dilakukan iterasi sejumlah 1500 kali diperoleh hasil bahwa nilai fitness tertinggi dicapai mulai pada iterasi ke 1000. Subgraf planar maksimal diperoleh dengan menghilangkan 7 sisi dari graf K10. Hal ini berarti bahwa apabila terdapat 10 konektor yang akan dicetak pada papan sirkuit 2-layer maka jumlah jalur maksimal yang dapat dicetak adalah jumlah sisi K10 dikurangi 7 (45-7=38). 
Penerapan Algoritma Genetika Pada Penentuan Lintasan Terpendek Jalur Bus Rapid Transit Makassar Jusmawati Massalesse
Jurnal Matematika, Statistika dan Komputasi Vol. 16 No. 2 (2020): JMSK, JANUARY, 2020
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (651.872 KB) | DOI: 10.20956/jmsk.v16i2.7016

Abstract

Bus Rapid Transit is a bus system that is fast, convenient, safe and on time from infrastructure, vehicles, and schedules. As a graph problem, BRT representation in a graph is done by assuming the bus stop as a vertex and the distance between bus stops is an edge. The problem examined in this paper is to find out the path that passes through all the bus stops with the smallest total distance, where the trip starts and ends at the same point, and all bus stops are crossed exactly once. The method used is the Genetic Algorithm, which works using objective and fitness functions, and combines selection, crossover and mutation operators to find the best solution. Using the roulette wheel, OX crossover method and a 0.07 of the probability of mutation, the distance of traverse from and to the departure point after passing all bus stops is 19.66 km or 12.22 miles.
Riemann Integral Construction Of A Sequence Of Functions In A Normed Space (l^p,‖∙‖_p ) Aswad Hariri Mangalaeng; Naimah Aris; Jusmawati Massalesse
Jurnal Matematika, Statistika dan Komputasi Vol. 16 No. 3 (2020): JMSK, MAY, 2020
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (561.082 KB) | DOI: 10.20956/jmsk.v16i3.8314

Abstract

We construct Riemann Integral for a sequence in a normed space (l^p,‖∙‖_p ). To do construction, we used some theories of real analysis and functional analysis, include some real sequences theories, some Riemann integral theory for functions in R, and some norm theories in a normed space (l^p,‖∙‖_p ). In this paper, we otained that a sequence of functions f=(f_k ):[a,b]⊂R→l^p qualify that the sequence is Riemann integrable on [a,b]⊂R.
Peningkatan Kreatifitas dan Efektifitas Pembelajaran Daring Matematika Bagi Guru SMP di Kecamatan Pattalassang melalui ISpring dan GeoGebra Naimah Aris; Nur Erawaty; Irma Andriani; Jusmawati Massalesse; Kasbawati Kasbawati; Sri Astuti Thamrin; Okta Nofri; Muhammad Zakir; Sitti Sahriman
JATI EMAS (Jurnal Aplikasi Teknik dan Pengabdian Masyarakat) Vol 5 No 3 (2021): 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.v5i3.511

Abstract

Daring mathematics study leaves pupils with troubles and anxiety after more than a year of daring learning. Furthermore, students often struggle to understand instructional materials that need graphic interpretation when learning mathematics. This activity aims to improve the competence of mathematics teachers with skills using the iSpring and GeoGebra so that they can create creative and effective learning media so that their virtual mathematics learning becomes more interesting and understandable for students. This activity is conducted daring via Zoom and live on YouTube, as well as offline meetings that are carried out with due observance of health protocols. Lectures, demonstrations on the use of iSpring and GeoGebra, as well as monitoring and evaluation are methods used in daring and offline activities. The target audience for this community service is Middle School Mathematics teachers in Pattalassang District. The results of the training showed an increase in the understanding and skills of mathematics teachers in utilizing iSpring and GeoGebra multimedia. This improvement in IT skills can contribute to increasing creativity and effectiveness in learning mathematics in the classroom.
Strengthening Junior High School Members in Maros Regency in Supporting Adiwiyata Schools Naimah Aris; Jusmawati Massalesse; Nur Erawaty; Nurdin Nurdin; Kasbawati Kasbawati; Edy Saputra; Anisa Anisa; Anna Islamiyati; Sri Astuti Thamrin; Sitti Sahriman; Ainun Mawaddah Abdal; Najhah Aris; Muralia Hustim; Afifah Afifah
JATI EMAS (Jurnal Aplikasi Teknik dan Pengabdian Masyarakat) Vol 7 No 1 (2023): 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.v7i1.711

Abstract

Maros Regency as an area that often receives Adipura award certificates should have schools that are also capable of achieving the Adiwiyata school title, a program that collaborates education with the environment. However, according to partners, out of 76 junior high schools in Maros Regency, only 5 have received this award. Starting from this, a team of lecturers from the Mathematics, Statistics, and Environmental Engineering study programs in collaboration with the Center for Development and Control of the Sulawesi and Maluku Ecoregions held training and mentoring activities for junior high schools in Maros Regency so that they were able to get the adiwiyata school title. Several aspects of the adiwiyata school assessment include curriculum development and environment-based learning, in this case specifically for mathematics. Organize the management of land, facilities and infrastructure in the environment around the school, in order to create an atmosphere that contributes to the formation of the character of students who are environmentally sound, build an extra-curricular climate that can contribute to environmental conservation, provide creativity and innovation for school residents in environmental protection and management efforts. The target audience for this service are students, teachers, and the junior high school environment in Maros Regency. The training activities was take place at SMP Negeri 16 Mandai, Maros Regency. The methods used include lectures, FGDs accompanied by demonstrations/practices, as well as monitoring and evaluation in class.
Forecasting Inflation In Indonesia Using The Modified Fuzzy Time Series Cheng Indi Ria Al Kadry; Jusmawati Massalesse; Muh. Nur
Jurnal Matematika, Statistika dan Komputasi Vol. 19 No. 1 (2022): SEPTEMBER, 2022
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/j.v19i1.21868

Abstract

Inflation is one of the most important indicators to analyze a country’s economy. Therefore, it is necessary to forecast the inflation rate. Forecasting can be done by various methods, one of which is Fuzzy Time Series Cheng. In this study, several modifications were made to the method used. The purpose of this study is to forecast using the Modified Fuzzy Time Series (FTS) Cheng method and determine the accuracy of the forecasting results obtained. The results of this study indicate that the Modified FTS Cheng method can be used in forecasting, either by determining the interval average-based or using the Sturges equation. Based on the results of the calculation of forecasting accuracy using Mean Absolute Percentage Error (MAPE), the accuracy for Modified FTS Cheng by determining the average-based interval for forecasting based on the current state and next state is 11.58% and 5.78%, respectively. Furthermore, the Modified FTS Cheng by determining the interval using the Sturges equation resulted in a MAPE value of 9.61% and a FTS Cheng of 7.54%. The MAPE value of each method is less than 10%, which means that the method has a very good performance, except for Modified FTS Cheng by determining the average-based interval for forecasting based on current state has good performance with MAPE values ​​between 10 % and 20%.  
Estimasi Model Regresi Spline Kubik Tersegmen dengan Metode Penalized Least Square Anna Islamiyati; Anisa Anisa; Raupong Raupong; Jusmawati Massalesse; Nasrah Sirajang; Sitti Sahriman; Alfiana Wahyuni
Al-Khwarizmi : Jurnal Pendidikan Matematika dan Ilmu Pengetahuan Alam Vol 10, No 2 (2022): Al-Khwarizmi : Jurnal Pendidikan Matematika dan Ilmu Pengetahuan Alam had Accre
Publisher : Prodi Pendidikan Matematika FTIK IAIN Palopo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24256/jpmipa.v10i2.3197

Abstract

Abstract:Nonparametric regression is used for data whose data pattern is non-parametric. One of the estimators that can be developed is a segmented cubic spline which is able to show several segmentation changes in the data. This article examines the estimation of segmented cubic spline nonparametric regression models using the Penalized Least Square estimation criteria. The method involves knot points and smoothing parameters simultaneously. In addition, the model is used to analyze data on BPJS claims based on patient age. The results show that the optimal model is at two-knot points, namely 26 and 52 with a smoothing parameter of 0.89. There are three segmentation changes from the cubic data, which consist of young people up to 26 years old, 26-52 years old, and 52 years and over. Abstrak:Regresi nonparametrik digunakan untuk data yang pola datanya bentuk non parametrik. Salah satu estimator yang dapat dikembangkan adalah spline kubik tersegmen yang mampu menunjukkan beberapa segmentasi perubahan pada data. Artikel ini mengkaji estimasi model regresi nonparametrik spline kubik tersegmen melalui kriteria estimasi menggunakan Penalized Least Square. Metode tersebut melibatkan titik knot dan parameter penghalus secara bersamaan. Selain itu, model digunakan untuk menganalisis data klaim BPJS berdasarkan usia pasien. Hasil menunjukkan bahwa model optimal pada dua titik knot yaitu 26 dan 52 dengan parameter penghalus sebesar 0,89. Terdapat tiga segmentasi perubahan data secara kubik, yaitu usia muda hingga 26 tahun, usia 26-52 tahun, dan usia 52 tahun ke atas. 
r-Chromatic Number On r-Dynamic Vertex Coloring of Comb Graph Heryati Nur Fatimah Sari; Budi Nurwahyu; Jusmawati Massalesse
Jurnal Matematika, Statistika dan Komputasi Vol. 20 No. 2 (2024): JANUARY 2024
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/j.v20i2.32143

Abstract

Let  be a graph with vertex set  and edge set . An r-dynamic vertex coloring of a graph  is a assigning colors to the vertices of  such that for every vertex  receives at least  colors in its neighbors. The minimum color used in r-dynamic vertex coloring of graph  is called the r-dynamic chromatic number denoted as . In this research we well determine the coloring pattern and the r-dynamic chromatic number of the comb graph , central graph of comb graph , middle graph of comb graph , line graph of comb graph , sub-division graf of comb graph , and para-line graph of comb graph Let  be a graph with vertex set  and edge set . An r-dynamic vertex coloring of a graph  is a assigning colors to the vertices of  such that for every vertex  receives at least  colors in its neighbors. The minimum color used in r-dynamic vertex coloring of graph  is called the r-dynamic chromatic number denoted as . In this research we well determine the coloring pattern and the r-dynamic chromatic number of the comb graph , central graph of comb graph , middle graph of comb graph , line graph of comb graph , sub-division graf of comb graph , and para-line graph of comb graph 
Estimasi Model Regresi Spline Kubik Tersegmen dengan Metode Penalized Least Square Islamiyati, Anna; Anisa, Anisa; Raupong, Raupong; Massalesse, Jusmawati; Sirajang, Nasrah; Sahriman, Sitti; Wahyuni, Alfiana
Al-Khwarizmi : Jurnal Pendidikan Matematika dan Ilmu Pengetahuan Alam Vol. 10 No. 2 (2022): Al-Khwarizmi : Jurnal Pendidikan Matematika dan Ilmu Pengetahuan Alam had Accr
Publisher : Prodi Pendidikan Matematika FTIK IAIN Palopo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24256/jpmipa.v10i2.3197

Abstract

Abstract:Nonparametric regression is used for data whose data pattern is non-parametric. One of the estimators that can be developed is a segmented cubic spline which is able to show several segmentation changes in the data. This article examines the estimation of segmented cubic spline nonparametric regression models using the Penalized Least Square estimation criteria. The method involves knot points and smoothing parameters simultaneously. In addition, the model is used to analyze data on BPJS claims based on patient age. The results show that the optimal model is at two-knot points, namely 26 and 52 with a smoothing parameter of 0.89. There are three segmentation changes from the cubic data, which consist of young people up to 26 years old, 26-52 years old, and 52 years and over. Abstrak:Regresi nonparametrik digunakan untuk data yang pola datanya bentuk non parametrik. Salah satu estimator yang dapat dikembangkan adalah spline kubik tersegmen yang mampu menunjukkan beberapa segmentasi perubahan pada data. Artikel ini mengkaji estimasi model regresi nonparametrik spline kubik tersegmen melalui kriteria estimasi menggunakan Penalized Least Square. Metode tersebut melibatkan titik knot dan parameter penghalus secara bersamaan. Selain itu, model digunakan untuk menganalisis data klaim BPJS berdasarkan usia pasien. Hasil menunjukkan bahwa model optimal pada dua titik knot yaitu 26 dan 52 dengan parameter penghalus sebesar 0,89. Terdapat tiga segmentasi perubahan data secara kubik, yaitu usia muda hingga 26 tahun, usia 26-52 tahun, dan usia 52 tahun ke atas.Â