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Journal of Mathematics, Computation and Statistics (JMATHCOS)
Published by Universitas Negeri Makassar
ISSN : 24769487     EISSN : 27210863     DOI : https://doi.org/10.35580/jmathcos
Core Subject : Education,
Mathematics
Fokus yang didasarkan tidak hanya untuk penelitian dan juga teori-teori pengetahuan yang tidak menerbitkan plagiarism. Ruang lingkup jurnal ini adalah teori matematika, matematika terapan, program perhitungan, perhitungan matematika, statistik, dan statistik matematika.
Arjuna Subject : Matematika - Matematika Terapan
Articles 194 Documents
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Analisis Matematika Pada Pembuatan Rumah Panggung Toraja Syafruddin Side; Sukarna; Jusriadi
Journal of Mathematics, Computations and Statistics Vol. 3 No. 1 (2020): Volume 03 Nomor 01 (April 2020)
Publisher : Jurusan Matematika FMIPA UNM

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Abstract

Geometry is branch of science that learning about the relationship between points, lines, sides , plane figure and solid figure. The application of geometry mathematics is very helpful in daily life. For example, the determination of tower height by using sunlight where in its determination can use the comparison system. Then, determine the distance or width of the river without measuring it manually, that is by using the help points and lines that are congruent. The aim of this research is finding out how the results of the application of mathematics in building Toraja Traditional house. The analysis process is done by observation, interview and documentation to see the process of building Toraja Traditional house. Based on the results of data analysis that is obtained, it was find the sequences pattern on the poles or beams in each type of house. Then the method of using parallel lines, lines extension and similarity on the roof of the house. Mathematics application can be applied in Toraja Traditional house by using parabolic equations and parabolic functions in determining the curvature of house roof.
Fuzzy Linear Programming Dalam Optimalisasi Pelayanan Air Bersih Perusahaan Daerah Air Minum (PDAM) Kab. Jeneponto Menggunakan Metode Sabiha Wahidah Sanusi; Sukarna; Irham Aryandi Basir
Journal of Mathematics, Computations and Statistics Vol. 3 No. 1 (2020): Volume 03 Nomor 01 (April 2020)
Publisher : Jurusan Matematika FMIPA UNM

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Abstract

Linear fuzzy programing is advance model for linear programing to determin the optimal result that contains fuzzy numbers. Linear Fuzzy programing can be solved using Sabiha’s method. Which is based on real linear fuzzy numbers in triplet numbers form. This paper used linear fuzzy programming model and Sabiha’s method, to determin the optimal solution on PDAM Kab. Jeneponto’s operation plan. Each indicator constructed to optimized objective function and constraint function. Results of this research have optimal solution for each objective variable was obtained with an optimal value for total costumer are 9075,999999999990 from 8896,999999999990 the type of household customer, 96,0000000000112 the type of special social customer, and 82,9999999999982 the type of public social costumer. With an optimal total revenue Rp. 4,753,125,000 and total water demand 1,082,303 m3.
Kendali Optimal pada Penyebaran Penyakit Covid-19 berdasarkan model SIVRS Widayati, Ratna; Ahmad, Mizan; Sofiyati, Noor
Journal of Mathematics, Computations and Statistics Vol. 6 No. 2 (2023): Volume 06 Nomor 02 (Oktober 2023)
Publisher : Jurusan Matematika FMIPA UNM

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Abstract

This study discusses about optimal control for spread of Covid-19 disease with the assumptionthat there is a subpopulation of individuals infected with the new variant of Covid-19. Transmission canoccur between individuals in susceptible subpopulations and individuals in subpopulations infected withCovid-19. SIVRS model is used by assumes that there is control variable in the form of the vaccinationstrategy given to susceptible individuals. This study aims to minimize the number of individuals in thesubpopulation infected and infected with the new variant. An analysis of the optimal control solution wascarried out using the Hamiltonian function and then solving it using the Sweep Forward and Back methodin Matlab. The results show that the vaccination strategy implemented can minimize the number ofindividuals in the subpopulation infected and infected with the new variant.
Estimasi Parameter Regresi Linier Sederhana Menggunakan Prosedur Cochrane-Orcutt, Hildreth-Lu dan First Differences Pada Metode Durbin Watson Purba, Switamy Angnitha; Chrisinta, Debora; Simarmata, Justin Eduardo
Journal of Mathematics, Computations and Statistics Vol. 6 No. 2 (2023): Volume 06 Nomor 02 (Oktober 2023)
Publisher : Jurusan Matematika FMIPA UNM

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Abstract

This study aims to examine the problem of autocorrelation, simple regression analysis with errorsfollowing the form of first-order autoregressive, Durbin Watson method using the Cochrane-Orcutt,Hildreth-Lu procedures and first differences in overcoming autocorrelation. The occurrence ofautocorrelation causes the alleged regression parameter with ordinary least square (OLS) not to producethe actual value. Therefore, to obtain the actual parameters applied Durbin watson method with all threeprocedures. Based on the data used in this thesis quoted from the book Applied Linear Statistical ModelsFifth Edition, the best procedure is given by Hildreth-Lu because it produces the smallest mean squareerror (MSE) value namely 0,204. This is because, the process of estimating the autocorrelation coefficientis based on iterations until a minimum sum square error (SSE) value is found.
Implementasi Partitioning Around Medoids Pada Visualisasi Penyebaran Penyakit DBD di Sumatera Utara Fadillah, Wahyu Nur; Rangkuti, Yulita Molliq; Karo, Ichwanul Muslim
Journal of Mathematics, Computations and Statistics Vol. 6 No. 2 (2023): Volume 06 Nomor 02 (Oktober 2023)
Publisher : Jurusan Matematika FMIPA UNM

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Abstract

This research aims to develop a Geographic Information System (GIS) using the PartitioningAround Medoids (PAM) method in mapping dengue hemorrhagic fever (DHF) cases in North SumatraProvince. DHF has symptoms of high fever, bleeding, and a high mortality rate if not treated quickly.Therefore, mapping DHF cases is very important in efforts to tackle and prevent this disease. The PAMmethod was used in this study to cluster the DHF case data based on similar characteristics. The firstcluster consists of 18 districts/municipalities is a low cluster, the second cluster consists of 3districts/municipalities is a high cluster, and the third cluster consists of 3 districts/municipalities is amedium cluster. The implementation of PAM is done by using the Minkwoski distance calculation methodwhere the application of the distance will be tested with the Silhouette Index on several numbers of clusters.The best number of clusters for PAM implementation is 3 clusters with a Silhouette Index value of 0.5275.
Penerapan LASSO Least Trimmed Squares untuk Mengidentifikasi Peubah yang Berpengaruh Penyebaran Penyakit di Sulawesi 138 Selatan Randa, Trigarcia Maleachi; Tinungki, Georgina Maria; Sunusi, Nurtiti
Journal of Mathematics, Computations and Statistics Vol. 6 No. 2 (2023): Volume 06 Nomor 02 (Oktober 2023)
Publisher : Jurusan Matematika FMIPA UNM

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Abstract

Tuberculosis is a chronic infectious disease which is still a public health problem in the world.Indonesia is a country with the third highest tuberculosis burden after India and China. South Sulawesi isone of the provinces that contributes to the high number of tuberculosis cases in Indonesia in 2020. Linearregression analysis can be applied to tuberculosis data to determine the variables that affect the numberof tuberculosis cases in South Sulawesi. Problems that often arise in regression analysis aremulticollinearity problems and outliers in the data. One method that can be used to solve multicollinearityand outlier problems is the LASSO LTS regression. The LASSO LTS regression is a modification of theLASSO regression method based on the LTS estimator of joint regression. The variables in the tuberculosisdata in South Sulawesi have multicollinearity problems and there are outliers, so in this study an approachwith the LASSO LTS method was used to overcome them. The results showed that the LASSO LTS methodcould overcome multicollinearity and outlier problems in estimating regression parameters as evidencedby the highest coefficient of determination of 89.41%.
Penyelesaian Model Epidemiologi SIR Menggunakan Metode Runge-Kutta Orde Tiga Dan Metode Adams-Bashforth Orde Tiga Hadisusanto, Jeannie; Mungkasi, Sudi
Journal of Mathematics, Computations and Statistics Vol. 6 No. 2 (2023): Volume 06 Nomor 02 (Oktober 2023)
Publisher : Jurusan Matematika FMIPA UNM

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Abstract

Mathematical modeling can be used to solve problems in everyday life, one of which is beingable to predict situations that occur in the spread of infectious diseases. The model used is the SIRepidemiological model with constant vaccination. In this paper, the model was solved numerically usingthe third order Runge-Kutta method and the third order Adams-Bashforth method. The solutions of the twomethods were obtained with the help of the MATLAB program in the first to tenth iterations. The solutionsshown by the two methods have almost the same behavior in the number of populations that are susceptibleto disease, the number of populations infected with the disease, and the number of populations that haverecovered from the disease. Over time, the number of populations that are susceptible to disease willcontinue to decrease, while the number of people recovering from disease will continue to increase.Meanwhile, the number of population infected with the disease will gradually increase at first and thenwill continue to decrease.
Penerapan K-Fold Cross Validation untuk Menganalisis Kinerja Algoritma K-Nearest Neighbor pada Data Kasus Covid-19 di Indonesia Hafid, Hardianti
Journal of Mathematics, Computations and Statistics Vol. 6 No. 2 (2023): Volume 06 Nomor 02 (Oktober 2023)
Publisher : Jurusan Matematika FMIPA UNM

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Abstract

The Covid-19 pandemic has been a global challenge in recent years. This virus has impactedmost aspects of human life, including health, the economy, and society. Indonesia is one of the affectedcountries that has now entered an endemic phase. This research aims to apply the K-Fold Cross Validationmethod to analyze the performance of the K-Nearest Neighbor (K-NN) algorithm on Covid-19 cases datain Indonesia, in order to measure how accurately the K-NN model can predict Covid-19 cases. The resultsobtained using 30-Fold cross-validation with a value of k=5 show an accuracy rate of 68.65% and a kappavalue of 0.5123. These results indicate that the K-NN model is capable of providing adequate predictionswith a higher level of agreement. This research provides a deeper understanding of the performance of theK-NN algorithm in the context of Covid-19 cases data in Indonesia, which can be used as a foundation forfurther improvements in modeling and understanding Covid-19 case data.
Penerapan Analisis Faktor Eksplanatori pada Pengambilan Keputusan Mahasiswa Membeli Produk Online di Kota Makassar Ihsan, Hisyam; Wahyuni, Maya Sari; Kurnadipare, Aleytha Ilahnugrah
Journal of Mathematics, Computations and Statistics Vol. 6 No. 2 (2023): Volume 06 Nomor 02 (Oktober 2023)
Publisher : Jurusan Matematika FMIPA UNM

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Abstract

Abstract. This research is applied research using exploratory factor analysis in the decision making of students buying online products in Makassar City. The data collection method used was a survey through a questionnaire. There are 8 explanatory variables or factors that are the focus of the research, each consisting of 4 indicators with a total of 240 respondents. Tests were performed using KMO, Bartlett and MSA tests, as well as confirmation of eigenvalues greater than 1 and based on emerging loading factors, 8 factors influence student decision making to buy online products, namely customer review factors, process factors and free shipping costs, influencer marketing factors, price factors, distribution factors, promotion factors, product factors, and shopping terms factors.
Penggunaan Analisis Biplot dalam Pengelompokan Kabupaten/Kota di Provinsi Sulawesi Selatan Berdasarkan Indikator Kesejahteraan Masyarakat Irwan; Sanusi, Wahidah; Nurani, Kahvi
Journal of Mathematics, Computations and Statistics Vol. 6 No. 2 (2023): Volume 06 Nomor 02 (Oktober 2023)
Publisher : Jurusan Matematika FMIPA UNM

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Abstract

This study aims to group districts / cities in South Sulawesi Province in 2021 that havesimilarities in community welfare variables using biplot analysis. Biplot analysis is an effort to makeimages in many-dimensional space into images in two-dimensional space, some important informationthat can be obtained are: proximity between observed objects, variable diversity, correlation betweenvariables and variable values of an object. This research uses the SVD (Singular Value Decomposition)method, with a research object of 24 districts / cities in South Sulawesi Province and consists of 13indicator variables. Based on the results of the study, the districts/cities that have similar indicators ofcommunity welfare are divided into 4 groups, group 1 is Makassar City, Pinrang and Luwu Regencies,group 2 is Pangkajene and Islands, Wajo, Takalar, Bulukumba, Soppeng, Bone, Jeneponto, Gowa,Maros, Sirenreng Rappang and Barru, group 3 namely Sinjai, North Luwu, Selayar Islands and Bantaengand group 4 namely Parepare City, Palopo City, Tana Toraja, North Toraja, East Luwu and Enrekang.With the greatest diversity of community welfare indicators are expected years of schooling (X4) andaverage years of schooling (X5). The variables that influence each other and are positively correlated.Namely, expectation of years of schooling (X4) and using a cellular phone (HP) (X12).

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