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Perbandingan Metode Perhitungan Jarak Euclidean dengan Perhitungan Jarak Manhattan pada K-Means Clustering Dalam Menentukan Penyebaran Covid di Kota Bekasi 欧几里得的测距方法比较
JMT : Jurnal Matematika dan Terapan Pub Date : 2023-02-28 DOI: 10.21009/jmt.5.1.5
Faisal Nur Cahya, Yudi Mahatma, Siti Rohmah Rohimah
{"title":"Perbandingan Metode Perhitungan Jarak Euclidean dengan Perhitungan Jarak Manhattan pada K-Means Clustering Dalam Menentukan Penyebaran Covid di Kota Bekasi","authors":"Faisal Nur Cahya, Yudi Mahatma, Siti Rohmah Rohimah","doi":"10.21009/jmt.5.1.5","DOIUrl":"https://doi.org/10.21009/jmt.5.1.5","url":null,"abstract":"Clustering merupakan metode pengelompokan dalam suatu database informasi berdasarkan kondisi tertentu. Penelitian ini menerapkan masalah perhitungan k-means clustering dengan pendekatan perhitungan jarak euclidean dengan perhitungan jarak manhattan. Metode yang terbentuk bertujuan untuk membandingkan dalam segi proses pengerjaan antara perhitungan jarak euclidean dengan perhitungan jarak manhattan. Hasil nya berupa perbandingan perhitungan jarak antara perhitungan jarak Euclidean dengan perhitungan jarak Manhattan dalam segi proses pengerjaan untuk dapat menentukan titik-titik pusat penyebaran penyakit covid dari perbandingan perhitungan jarak Euclidean dan perhitungan jarak Manhattan. Hasil perhitungan yang diperoleh yaitu Perhitungan K-Means dengan pendekatan perhitungan jarak Euclidean diperoleh banyaknya percobaan (iterasi) sejumlah 15 kali,sedangkan dengan menggunakan perhitungan jarak Manhattan diperoleh banyaknya percobaaan (iterasi) sejumlah 7 kali. Maka disimpulkan bahwa dalam segi proses pengerjaan Manhattan lebih cepat bila dibandingan dengan Euclidean. Hasil perhitungan yang didapatkan merupakan hasil perhitungan dari Data Covid-19 di Kota Bekasi sampai dengan tanggal 1 September 2021.","PeriodicalId":299241,"journal":{"name":"JMT : Jurnal Matematika dan Terapan","volume":"62 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121705276","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Word Of Mouth, Mathematics Analisis Kestabilan Pemodelan Matematika Penyebaran Word Of Mouth Berbasis Brand Community 口碑，数学分析Kestabilan Pemodelan Matematika Penyebaran口碑基础品牌社区
JMT : Jurnal Matematika dan Terapan Pub Date : 2023-02-28 DOI: 10.21009/jmt.5.1.3
Daniel Alexander, Eti Dwi Wiraningsih, Lukita Ambarwati
{"title":"Word Of Mouth, Mathematics Analisis Kestabilan Pemodelan Matematika Penyebaran Word Of Mouth Berbasis Brand Community","authors":"Daniel Alexander, Eti Dwi Wiraningsih, Lukita Ambarwati","doi":"10.21009/jmt.5.1.3","DOIUrl":"https://doi.org/10.21009/jmt.5.1.3","url":null,"abstract":"Pemasaran word of mouth berbasis brand community membuat perusahaan menargetkan komunitas-komunitas yang sesuai dengan karakteristik produk yang membuat pemasaran word of mouth menjadi lebih efektif. Penelitian ini berfokus pada pemodelan dan analisis pemasaran word of mouth berbasis brand community. Model terdiri dari lima variabel yaitu Susceptible, Infected, Community, Positive, dan Negative. Model dianalisis dengan menentukan titik kesetimbangan yang menghasilkan dua titik kesetimbangan yaitu titik kesetimbangan yang didapatkan saat tidak ada individu terinfeksi dan titik kesetimbangan yang didapatkan saat terdapat individu terinfeksi. Simulasi menggunakan data yang telah diperoleh dari salah satu perusahaan di Indonesia, dengan nilai bilangan reproduksi dasar sebesar 950,1458877.","PeriodicalId":299241,"journal":{"name":"JMT : Jurnal Matematika dan Terapan","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114776523","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Implementasi Kriptografi Secret Sharing Scheme dan Steganografi Audio Least Significant Bit (LSB) 基于隐写音频最低有效位(LSB)的加密密钥共享方案的实现
JMT : Jurnal Matematika dan Terapan Pub Date : 2023-02-28 DOI: 10.21009/jmt.5.1.1
Alvira Firjan Humaira, Rini Marwati, Karti Yulianti
{"title":"Implementasi Kriptografi Secret Sharing Scheme dan Steganografi Audio Least Significant Bit (LSB)","authors":"Alvira Firjan Humaira, Rini Marwati, Karti Yulianti","doi":"10.21009/jmt.5.1.1","DOIUrl":"https://doi.org/10.21009/jmt.5.1.1","url":null,"abstract":"Selama komunikasi teknologi terus berkembang, keamanan informasi menjadi sangat penting karena kejahatan di dunia maya semakin marak terjadi. Untuk meningkatkan keamanan informasi, pada penelitian ini dikonstruksi penggabungan kriptografi secret sharing scheme (t, w) dengan steganografi audio least significant bit (LSB). Kriptografi secret sharing scheme merupakan kriptografi modern yang mampu mencegah terjadinya situasi informasi terpusat karena tidak memerlukan kunci untuk enkripsi. Selain itu, metode ini juga menyulitkan peretas dalam merekonstruksi pesan karena sulitnya mengumpulkan minimal share.  Implementasi dari penggabungan tersebut, dihasilkan suatu prototype program menggunakan bahasa pemrograman Python 3.10 dengan skema (3,4). Media cover steganografi yang digunakan adalah audio, dan pesan yang dapat diolah program adalah PIN angka enam digit dengan digit pertama tidak nol. Hasil yang diperoleh dari program enkripsi dan embedding adalah 4 buah audio-share yang terdengar sama dengan audio yang asli, sehingga keberadaan informasi di dalam audio sulit diketahui. Hasil pada program dekripsi dan extracting adalah PIN yang dapat dikonstruksi kembali.","PeriodicalId":299241,"journal":{"name":"JMT : Jurnal Matematika dan Terapan","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115073095","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Model Matematika Co-infection Tuberkulosis dan COVID-19 dengan Intervensi Obat Anti Tuberkulosis (OAT) 结核病联合感染和抗药性干预的数学模型
JMT : Jurnal Matematika dan Terapan Pub Date : 2023-02-28 DOI: 10.21009/jmt.5.1.4
Safira Putri Islamiati, Eti Dwi Wiraningsih, Devi Eka Wardani Meganingtyas
{"title":"Model Matematika Co-infection Tuberkulosis dan COVID-19 dengan Intervensi Obat Anti Tuberkulosis (OAT)","authors":"Safira Putri Islamiati, Eti Dwi Wiraningsih, Devi Eka Wardani Meganingtyas","doi":"10.21009/jmt.5.1.4","DOIUrl":"https://doi.org/10.21009/jmt.5.1.4","url":null,"abstract":"COVID-19 dan tuberkulosis merupakan penyakit menular mematikan dengan gejala yang hampir sama. Apabila kedua infeksi ini menyerang suatu inang, risiko kematian yang diberikan akan sangat tinggi. Penelitian ini membentuk dan menganalisis model penyebaran co-infection tuberkulosis dan COVID-19 dengan intervensi obat OAT. Model ini menghasilkan titik ekuilibrium bebas penyakit model co-infection tuberkulosis dan COVID-19 yang memenuhi keadaan stabil ketika bilangan reproduksi dasar atau jumlah penularan sekunder kurang dari 1. Simulasi numerik dilakukan dengan nilai parameter yang diperoleh dari data kondisi tuberkulosis dan COVID-19 di Indonesia per Maret 2020 hingga Maret 2021, beserta dengan hasilnya dalam bentuk grafik. Berdasarkan nilai parameter model, diperoleh bilangan reproduksi dasar sebesar 0.1819422898. Artinya tidak terdapat penularan co-infection TB dan COVID-19 di dalam populasi.","PeriodicalId":299241,"journal":{"name":"JMT : Jurnal Matematika dan Terapan","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125278721","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Metode Bayesian untuk Estimasi Parameter Distribusi Eksponensial pada Data Tersensor Bayesian的方法是对审查数据的指数分布参数的估计
JMT : Jurnal Matematika dan Terapan Pub Date : 2022-08-30 DOI: 10.21009/jmt.4.2.3
Reza Anjab Ramadhan, Widyanti Rahayu, Ibnu Hadi
{"title":"Metode Bayesian untuk Estimasi Parameter Distribusi Eksponensial pada Data Tersensor","authors":"Reza Anjab Ramadhan, Widyanti Rahayu, Ibnu Hadi","doi":"10.21009/jmt.4.2.3","DOIUrl":"https://doi.org/10.21009/jmt.4.2.3","url":null,"abstract":"Parameter is a value that describe the characteristics of a population. But the parameterof a real data, the value is unknown. To estimate the value of the parameter,there are several methods, which are maximum likelihood estimation method (MLE)and Bayesian parameter estimation method. In Bayesian method, the prior informationis applied to update the current data. The prior is determined based on the informationin the data. This mini thesis is using censored data with exponential distribution, andusing the conjugate prior. Followed by squared error loss function (SELF), the estimatedvalue function ot the λ parameter is ˆλ =α+Σ_{i=1}^{n}δ_{i}β+Σ_{i=1}^{n}t_{i}with α and β are hyperparameters,Σ_{i=1}^{n}δ_{i} is the number of objects that experienced the event and Σ_{i=1}^{n}t_{i} is the numberof the survival time. When the function was applied on Stanford heart transplant data,the value of ˆλ = 0.00089, which means the patient’s failure (death) probability is lowand the patient’s probability to survive is high.","PeriodicalId":299241,"journal":{"name":"JMT : Jurnal Matematika dan Terapan","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130032190","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Masalah Vehicle Routing Problem Pada Pengiriman Barang di kota Bandung utara dengan menggunakan Kluster KMeans dan Algoritma Nearest Neighbor
JMT : Jurnal Matematika dan Terapan Pub Date : 2022-08-30 DOI: 10.21009/jmt.4.2.1
Debby Agustine, Ibnu Hadi, Devi Eka Wardani Meganingtyas
{"title":"Masalah Vehicle Routing Problem Pada Pengiriman Barang di kota Bandung utara dengan menggunakan Kluster KMeans dan Algoritma Nearest Neighbor","authors":"Debby Agustine, Ibnu Hadi, Devi Eka Wardani Meganingtyas","doi":"10.21009/jmt.4.2.1","DOIUrl":"https://doi.org/10.21009/jmt.4.2.1","url":null,"abstract":"The Vehiscle Routing Problem is an optimization problem in determining the route of packet distribution with limited vehicle capacity. Routing in the distribution of packets is important so that the shortest route will be sought so that the package arrives on time. One of the algorithms that discusses the search for vehicle routes with VRP problems is the Nearest Neighbor Algorithm, as for the stages in finding the best route by enumerating all possible sequences of existing routes and selecting the best set of routes in order to find the shortest route from one node to all other nodes. so it becomes a connected route.","PeriodicalId":299241,"journal":{"name":"JMT : Jurnal Matematika dan Terapan","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129472442","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
ANALISIS KESTABILAN MODEL SVIQR PADA PENYEBARAN PENYAKIT TUBERKULOSIS
JMT : Jurnal Matematika dan Terapan Pub Date : 2022-08-30 DOI: 10.21009/jmt.4.2.4
Else As Syavira, Embay Rohaeti, Ani Andriyati
{"title":"ANALISIS KESTABILAN MODEL SVIQR PADA PENYEBARAN PENYAKIT TUBERKULOSIS","authors":"Else As Syavira, Embay Rohaeti, Ani Andriyati","doi":"10.21009/jmt.4.2.4","DOIUrl":"https://doi.org/10.21009/jmt.4.2.4","url":null,"abstract":"Tuberkulosis merupakan penyakit menular yang disebabkan oleh bakteri Mycobacterium tuberculosis. Permasalahan tuberkulosis masih menjadi masalah yang membutuhkan perhatian dari pemerintah. Model SVIQR (Suspectible, Vaccinated, Infected, Quarantined, Recovered) merupakan model yang menggambarkan penyebaran penyakit tuberkulosis dengan kondisi adanya vaksinasi yang dilakukan pada individu rentan dan adanya karantina berupa rawat inap pada individu yang telah dinyatakan terinfeksi. Pada penulisan ini akan dibahas kestabilan titik tetap yang terdapat dalam model SVIQR, analisis kestabilan dilakukan dengan mencari titik tetap yang menghasilkan dua titik tetap selanjutnya titik tetap tersebut dianalisis kestabilannya dengan kriteria Routh-Hurwitz. Berdasarkan analisis kestabilan titik tetap dengan kriteria Routh-Hurwitz dihasilkan bahwa titik tetap pertama stabil pada saat penyakit tuberkulosis tidak mewabah dan tititk tetap kedua stabil pada saat penyakit tuberkulosis mewabah. \u0000 ","PeriodicalId":299241,"journal":{"name":"JMT : Jurnal Matematika dan Terapan","volume":"162 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131887974","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Peramalan Jumlah Penderita DBD di Provinsi Jawa Barat dengan Metode Hybrid Sarimax-Ann 西爪哇省的登革热患者人数与Sarimax-Ann的混合方法相匹配
JMT : Jurnal Matematika dan Terapan Pub Date : 2022-08-30 DOI: 10.21009/jmt.4.2.2
Indriany Rahayu, Rini Marwati, Dewi Rachmatin
{"title":"Peramalan Jumlah Penderita DBD di Provinsi Jawa Barat dengan Metode Hybrid Sarimax-Ann","authors":"Indriany Rahayu, Rini Marwati, Dewi Rachmatin","doi":"10.21009/jmt.4.2.2","DOIUrl":"https://doi.org/10.21009/jmt.4.2.2","url":null,"abstract":"Indonesia is one of the tropical countries in the world, therefore Indonesia has two seasons, namely the dry season and the rainy season. Because it has two seasons, it can cause tropical diseases that is growing very fast is Dengue Hemorrhagic Fever (DHF). DHF is time series data tha can be collected annually and has a seasonal cycle. Because it is time series data, it can be forecasted using SARIMAX method, but SARIMAX is only able to solve linear problems and to overcone non-linear prolblems it can be solved using the ANN Backpropagation method. Therefore, in this study using the Hybrid SARIMAX-ANN method. The data in this study contained the dependent variable and the independent variable. The dependent variable is DHF data, while the independent variable is air humidity, air temperature, and rainfall data. The result obtained in this study, namely the factor that greatly affects DHF is air humidity. Forecasting result form Januari 2021 to June 2021 are 1.081, 960, 1.132, 1.103, 2.467, and 1.605. the it produces a MAPE value of 16,33% which means a good level of accuracy.","PeriodicalId":299241,"journal":{"name":"JMT : Jurnal Matematika dan Terapan","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134090245","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Optimal Control Solution for Rabies Disease Transmission within Free-ranging Dog 狂犬病在散养犬体内传播的最优控制方案
JMT : Jurnal Matematika dan Terapan Pub Date : 2022-08-30 DOI: 10.21009/jmt.4.2.5
Eti Dwi Wiraningsih, Z. Jamaludin, A. P. Ramadhan, M. M. Jamaludin
{"title":"Optimal Control Solution for Rabies Disease Transmission within Free-ranging Dog","authors":"Eti Dwi Wiraningsih, Z. Jamaludin, A. P. Ramadhan, M. M. Jamaludin","doi":"10.21009/jmt.4.2.5","DOIUrl":"https://doi.org/10.21009/jmt.4.2.5","url":null,"abstract":"This paper considers deterministic model for transmission dynamics of rabies virus in the free-ranging dog population. The stability of system near by Disease Free Equilibrium point is analized using Next Generation Matrix. The effect of vaccination in susceptible dog population is considered on the model. We then present the effective reproduction number in the present of the vaccination. Further we developed the formula to obtain the optimal vaccination to eliminate the endemic equilibrium, via the Pontryagin Maximum Principle. Numerical example are presented  to show the properties of the optimal control solution.","PeriodicalId":299241,"journal":{"name":"JMT : Jurnal Matematika dan Terapan","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128375519","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Analisis Sensitivitas terhadap Metode WP dan VIKOR dalam Pengambilan Keputusan Penentuan Penerima Beasiswa di UNJ 分析WP和VIKOR对UNJ奖学金获得者决策的方法的敏感性
JMT : Jurnal Matematika dan Terapan Pub Date : 2022-02-28 DOI: 10.21009/jmt.4.1.1
Ghefira Nur Kahfi, Sudarwanto, Siti Rohmah Rohimah
{"title":"Analisis Sensitivitas terhadap Metode WP dan VIKOR dalam Pengambilan Keputusan Penentuan Penerima Beasiswa di UNJ","authors":"Ghefira Nur Kahfi, Sudarwanto, Siti Rohmah Rohimah","doi":"10.21009/jmt.4.1.1","DOIUrl":"https://doi.org/10.21009/jmt.4.1.1","url":null,"abstract":"Kartu Jakarta Mahasiswa Unggul (KJMU) is one of the scholarship programs available atUNJ and is funded by the DKI Jakarta Regional Budget. The recipients increase every yearbut the costs incurred remain so that a proper Sistem Penerimaan Keputusan (SPK) is needed.One of the SPK methods is the Weighted Product Model (WPM) and Viˇse Kriterijumska Optimazajica I Kompromiso Resenje method (VIKOR). The WP method begins by calculating theweight of each criterion and then ranking it. Meanwhile, the VIKOR ranking method is seenbased on compromise solutions. Next, a sensitivity test was conducted to see how sensitive thetwo methods were to changes that occurred. This research was conducted 3 times and obtainedan average percentage change in ranking results of 16,776 % for the WP method and 18,156% for the VIKOR method, so that the VIKOR method is more appropriate to be applied in theKJMU scholarship acceptance decision system at UNJ.","PeriodicalId":299241,"journal":{"name":"JMT : Jurnal Matematika dan Terapan","volume":"46 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125557095","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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