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Prediksi Penyebaran Covid-19 Gelombang Ke-3 Di Kota Ambon Menggunakan Aplikasi Matlab Dengan Model Berbasis SEIR Dan Metode Runge Kutta Fehlberg Ordo 10 Ambon市Covid-19第三次浪潮的预测使用Matlab应用程序，该应用模型为西尔，模式为Fehlberg orders 10
Tensor: Pure and Applied Mathematics Journal Pub Date : 2023-06-19 DOI: 10.30598/tensorvol4iss1pp45-52
Dian Fransisca Paley, Marsela Fransiska Sapury, Fauzan Widiantoto Mussa
{"title":"Prediksi Penyebaran Covid-19 Gelombang Ke-3 Di Kota Ambon Menggunakan Aplikasi Matlab Dengan Model Berbasis SEIR Dan Metode Runge Kutta Fehlberg Ordo 10","authors":"Dian Fransisca Paley, Marsela Fransiska Sapury, Fauzan Widiantoto Mussa","doi":"10.30598/tensorvol4iss1pp45-52","DOIUrl":"https://doi.org/10.30598/tensorvol4iss1pp45-52","url":null,"abstract":"Indonesia resmi memasuki gelombang tiga penyebaran Covid-19 sesuai pernyataan resmi dari Kementerian Kesehatan Republik Indonesia. Pandemik yang menyerang bukan hanya Indonesia tetapi dunia ini masih terus berkembang dalam kurun waktu lebih dari dua tahun. Oleh karena itu, berbagai studi telah dilakukan untuk mengetahui penyebaran virus ini dan memprediksi penyebarannya lewat beberapa model matematika. Penelitian ini bertujuan untuk memprediksi penyebaran Covid-19 di Provinsi Maluku terkhusus untuk gelombang ke tiga dengan pemodelan matematika SEIR. Secara khusus, metode Runge Kutta Fehlberg ordo 10 di aplikasi Matlab akan digunakan untuk memprediksi kenaikan penyebaran. Data yang digunakan yaitu data penyebaran Covid-19 di Maluku periode bulan Juli 2021 – Februari 2022. Diperoleh puncak penyebaran Covid-19 di Maluku berada pada Maret-April 2022. \u0000Kata kunci: Covid-19, Runge-Kutta Fehlberg Ordo 10, Matlab, Pemodelan Matematika SEIR","PeriodicalId":294430,"journal":{"name":"Tensor: Pure and Applied Mathematics Journal","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132270407","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
Penerapan Metode The Distance To The Ideal Alternative (DIA) Untuk Menyelesaikan Pegawai Di PT. Fast Food Indonesia (KFC Indonesia) Kakialy Tanah Tinggi, Ambon
Tensor: Pure and Applied Mathematics Journal Pub Date : 2023-06-19 DOI: 10.30598/tensorvol4iss1pp13-20
Monalisa E. Rijoly, Nona Tjie Sapulette, B. P. Tomasouw, D. Patty
{"title":"Penerapan Metode The Distance To The Ideal Alternative (DIA) Untuk Menyelesaikan Pegawai Di PT. Fast Food Indonesia (KFC Indonesia) Kakialy Tanah Tinggi, Ambon","authors":"Monalisa E. Rijoly, Nona Tjie Sapulette, B. P. Tomasouw, D. Patty","doi":"10.30598/tensorvol4iss1pp13-20","DOIUrl":"https://doi.org/10.30598/tensorvol4iss1pp13-20","url":null,"abstract":"Penelitian ini bertujuan untuk membantu PT. Fast Food Indonesia (KFC Indonesia) untuk menyeleksi karyawan dengan menerapkan metode The Distance To The Ideal Alternative (DIA). Metode DIA merupakan metode pengambilan keputusan dengan banyak kriteria dimanfaatkan untuk menyeleksi karyawan. Berdasarkan data diperoleh hasil perhitungan metode DIA menghasilkan nilai preferensi terendah sebesar 0 yang artinya hasil perangkingan/mengindikasikan terpilih calon karyawan/ pelamar III berhak lolos seleksi penerimaan karyawan di PT. Fast Food Indonesia (KFC Indonesia) Kakialy, Ambon.","PeriodicalId":294430,"journal":{"name":"Tensor: Pure and Applied Mathematics Journal","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133556085","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
Perbandingan Matriks Bobot Invers Jarak dan Bobot Seragam pada Model Gstar (1;1) untuk Data Indeks Harga Konsumen (Studi Kasus: Indeks Harga Konsumen di Kalimantan Barat) Gstar模型Gstar的距离和均匀重量矩阵比较(1;1)的消费者价格指数(案例研究:西加里曼丹消费者价格指数)
Tensor: Pure and Applied Mathematics Journal Pub Date : 2023-06-19 DOI: 10.30598/tensorvol4iss1pp27-36
Nani Fitria Arini, N. M. Huda, Wirda Andani
{"title":"Perbandingan Matriks Bobot Invers Jarak dan Bobot Seragam pada Model Gstar (1;1) untuk Data Indeks Harga Konsumen (Studi Kasus: Indeks Harga Konsumen di Kalimantan Barat)","authors":"Nani Fitria Arini, N. M. Huda, Wirda Andani","doi":"10.30598/tensorvol4iss1pp27-36","DOIUrl":"https://doi.org/10.30598/tensorvol4iss1pp27-36","url":null,"abstract":"Kejadian yang berhubungan dengan kejadian-kejadian di masa lalu seringkali dijumpai dalam kehidupan sehari-hari. Perkembangan mengenai analisis deret waktu memunculkan gagasan bahwa beberapa data dari suatu kejadian tidak hanya mempunyai keterkaitan dari kejadian-kejadian pada waktu sebelumnya, tetapi juga mempunyai keterkaitan dengan lokasi disekitarnya. Model Generalized Space Time Autoregressive (GSTAR) digunakan untuk memodelkan data deret waktu yang juga mempunyai keterikatan antar waktu dan lokasi (space time). Salah satu keunikan dari model GSTAR adalah keberadaan matriks bobot. Matriks bobot pada model GSTAR menunjukkan hubungan antar lokasi. Pada penelitian ini, matriks bobot yang digunakan adalah bobot seragam dan invers jarak. Studi kasus yang digunakan yaitu data Indeks Harga Konsumen (IHK) tiga lokasi di Kalimantan Barat yang meliputi Kota Pontianak, Kota Singkawang, dan Kabupaten Sintang pada periode Januari 2020 hingga April 2023. Penelitian ini bertujuan untuk membandingkan kedua matriks bobot invers jarak dan seragam. Selanjutnya memilih model GSTAR terbaik berdasarkan nilai dengan orde model GSTAR dibatasi pada orde (1;1) dengan nilai AIC, RMSE, dan MAPE terbaik. Perkembangan indeks harga konsumen antar kota selain memiliki keterkaitan pada waktu sebelumnya juga memiliki keterkaitan antar lokasi. Langkah-langkah yang dilakukan adalah uji stasioner data, identifikasi orde, estimasi parameter, serta uji diagnostik. Hasil penelitian menunjukan model yang didapat berdasarkan bobot invers jarak dan bobot seragam menggambarkan adanya keterikatan waktu dan lokasi yang ada, hal ini ditunjukkan dengan adanya parameter yang signifikan mempengaruhi lokasi satu dan lokasi lainnya. Model terbaik yang dihasilkan adalah model GSTAR(1;1) dengan bobot seragam, karena memiliki nilai rata-rata RMSE terkecil Sehingga akan memberikan nilai peramalan dengan kesalahan yang lebih kecil dibandingkan dengan model dengan bobot invers jarak","PeriodicalId":294430,"journal":{"name":"Tensor: Pure and Applied Mathematics Journal","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133852155","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
Basic Properties of Galois Correspondence 伽罗瓦对应的基本性质
Tensor: Pure and Applied Mathematics Journal Pub Date : 2023-06-19 DOI: 10.30598/tensorvol4iss1pp1-12
N. Dahoklory, H. W. M. Patty
{"title":"Basic Properties of Galois Correspondence","authors":"N. Dahoklory, H. W. M. Patty","doi":"10.30598/tensorvol4iss1pp1-12","DOIUrl":"https://doi.org/10.30598/tensorvol4iss1pp1-12","url":null,"abstract":"<jats:p />","PeriodicalId":294430,"journal":{"name":"Tensor: Pure and Applied Mathematics Journal","volume":"283 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127393455","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
Penerapan Metode SVM Untuk Deteksi Dini Penyakit Stroke (Studi Kasus : RSUD Dr. H. Ishak Umarella Maluku Tengah dan RS Sumber Hidup-GPM) 使用SVM方法及早发现中风(病例研究:h.e.艾萨克·乌马鲁古·马鲁古中医和紧急生命源医院)
Tensor: Pure and Applied Mathematics Journal Pub Date : 2023-06-19 DOI: 10.30598/tensorvol4iss1pp37-44
B. P. Tomasouw, F. Y. Rumlawang
{"title":"Penerapan Metode SVM Untuk Deteksi Dini Penyakit Stroke (Studi Kasus : RSUD Dr. H. Ishak Umarella Maluku Tengah dan RS Sumber Hidup-GPM)","authors":"B. P. Tomasouw, F. Y. Rumlawang","doi":"10.30598/tensorvol4iss1pp37-44","DOIUrl":"https://doi.org/10.30598/tensorvol4iss1pp37-44","url":null,"abstract":"Stroke is a significant health problem in today's modern society. Early detection of stroke usually takes a long time. To prevent the risk of a significant disabling stroke, it is good to pay attention and recognize the symptoms of a stroke early on. In this study, the Support Vector Machine (SVM) method was used to detect stroke based on risk factors for stroke consisting of blood pressure, age, LDL, and blood sugar. Based on the results obtained, the nonlinear SVM method has a better level of accuracy than the linear SVM. This is because of the two data-sharing schemes, the linear SVM only has an accuracy rate of 81.25%, while the nonlinear SVM has an accuracy rate of 84.38%. Especially for the nonlinear SVM, the RBF kernel has a better level of accuracy than the polynomial kernel. This can be seen from the results of testing the two data sharing schemes, the RBF kernel has the best results, namely the highest accuracy rate of 84.38% and 84% respectively","PeriodicalId":294430,"journal":{"name":"Tensor: Pure and Applied Mathematics Journal","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130785422","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
On the Total Irregularity Strength of the Corona Product of a Path with Path 路径与路径的电晕积的总不规则强度
Tensor: Pure and Applied Mathematics Journal Pub Date : 2023-06-19 DOI: 10.30598/tensorvol4iss1pp21-26
M. Tilukay
{"title":"On the Total Irregularity Strength of the Corona Product of a Path with Path","authors":"M. Tilukay","doi":"10.30598/tensorvol4iss1pp21-26","DOIUrl":"https://doi.org/10.30598/tensorvol4iss1pp21-26","url":null,"abstract":"\u0000This paper deals with the totally irregular total labeling of the corona product of a path with path, cycle, and star. The results gave the exact values of the total irregularity strength of pm dot Pn and  for integer 2 leq m leq 3 and ngeq 3 \u0000","PeriodicalId":294430,"journal":{"name":"Tensor: Pure and Applied Mathematics Journal","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128538158","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
Grasshopper Optimizaton Algorithm (GOA) untuk Menyelesaikan Vehicle Routing Problem with Simultaneous Pickup and Delivery (VRPSPD) 求解Menyelesaikan同时取货车辆路径问题的Grasshopper优化算法(GOA)
Tensor: Pure and Applied Mathematics Journal Pub Date : 2022-11-14 DOI: 10.30598/tensorvol3iss2pp73-84
Anatasia Naomi, A. B. Pratiwi, H. Suprajitno
{"title":"Grasshopper Optimizaton Algorithm (GOA) untuk Menyelesaikan Vehicle Routing Problem with Simultaneous Pickup and Delivery (VRPSPD)","authors":"Anatasia Naomi, A. B. Pratiwi, H. Suprajitno","doi":"10.30598/tensorvol3iss2pp73-84","DOIUrl":"https://doi.org/10.30598/tensorvol3iss2pp73-84","url":null,"abstract":"The purpose of this paper is to solve the Vehicle Routing Problem with Simultaneous Pickup and Delivery (VRPSPD) using the Grasshopper Optimization Algorithm (GOA). Vehicle Routing Problem with Simultaneous Pickup and Delivery (VRPSPD) is a problem of forming routes that serve each customer, by delivering and retrieving simultaneously. The purpose of VRPSPD is to minimize the total mileage to serve all customers with the limit that each customer is served exactly once, and the vehicle load does not exceed its maximum capacity. Grasshopper Optimization Algorithm (GOA) is an algorithm inspired by nature by mimicking the living behavior of grasshopper swarms in search of food sources. GOA has several main stages, namely initialization of parameters, determination of target grasshoppers, calculating the coefficient of decline, calculating the distance between grasshoppers, and calculating the new position of the grasshoppers. Implementation of the GOA program to complete VRPSPD using the C++ programming language using 3 types of data, data with 13 customers, 22 customers, and 100 customers. Based on the results of the running program, it can be concluded that the more iterations and the number of populations, the solution obtained tends to be better.","PeriodicalId":294430,"journal":{"name":"Tensor: Pure and Applied Mathematics Journal","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115228663","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 Pendapatan Menggunakan Metode Weighted Least Square (Wls) dengan Fungsi Pembobot Huber 收入分析采用更大的平衡器函数，即weghted Square
Tensor: Pure and Applied Mathematics Journal Pub Date : 2022-11-14 DOI: 10.30598/tensorvol3iss2pp101-110
Jefri Radjabaycolle, A. Z. Wattimena, Indriana Umul Mu'minin, Gabriela Haumahu
{"title":"Analisis Pendapatan Menggunakan Metode Weighted Least Square (Wls) dengan Fungsi Pembobot Huber","authors":"Jefri Radjabaycolle, A. Z. Wattimena, Indriana Umul Mu'minin, Gabriela Haumahu","doi":"10.30598/tensorvol3iss2pp101-110","DOIUrl":"https://doi.org/10.30598/tensorvol3iss2pp101-110","url":null,"abstract":"The Weighted Least Square (WLS) method is a development of the OLS method which will provide a more accurate solution than the OLS method when outliers are identified in the data. It is possible that the model generated by the OLS method still contains outliers, while the WLS method minimizes outliers in the data. The income result determined using the OLS method is less than the income result using the WLS method, which means that if a fixed value is given (according to the standard) for each result of the factors that affect the income result in the OLS method, the average fisherman income is IDR 2,225 .220. While the average income of fishermen using the WLS method is Rp. 1,015,840. There were two outliers identified using the OLS method and after using the WLS method there were no outliers.","PeriodicalId":294430,"journal":{"name":"Tensor: Pure and Applied Mathematics Journal","volume":"48 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114128577","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
Extension Field Which Are Galois Extensions 伽罗瓦扩展的扩展域
Tensor: Pure and Applied Mathematics Journal Pub Date : 2022-11-14 DOI: 10.30598/tensorvol3iss2pp85-92
N. Dahoklory, H. W. M. Patty
{"title":"Extension Field Which Are Galois Extensions","authors":"N. Dahoklory, H. W. M. Patty","doi":"10.30598/tensorvol3iss2pp85-92","DOIUrl":"https://doi.org/10.30598/tensorvol3iss2pp85-92","url":null,"abstract":"<jats:p />","PeriodicalId":294430,"journal":{"name":"Tensor: Pure and Applied Mathematics Journal","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126852798","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
Solusi Numerik Model Sir Dengan Menggunakan Metode Runge-Kutta Orde Empat Dalam Prediksi Penyebaran Virus Covid-19 Di Provinsi Maluku 爵士的数字模型解决方案使用四阶Runge-Kutta方法预测Covid-19病毒在马鲁库省的传播
Tensor: Pure and Applied Mathematics Journal Pub Date : 2022-11-14 DOI: 10.30598/tensorvol3iss2pp93-100
Monalisa E. Rijoly, Rizki F. Muin, F. Y. Rumlawang, B. P. Tomasouw
{"title":"Solusi Numerik Model Sir Dengan Menggunakan Metode Runge-Kutta Orde Empat Dalam Prediksi Penyebaran Virus Covid-19 Di Provinsi Maluku","authors":"Monalisa E. Rijoly, Rizki F. Muin, F. Y. Rumlawang, B. P. Tomasouw","doi":"10.30598/tensorvol3iss2pp93-100","DOIUrl":"https://doi.org/10.30598/tensorvol3iss2pp93-100","url":null,"abstract":"Penelitian ini bertujuan untuk memprediksi penyebaran virus Covid-19 di Provinsi Maluku menggunakan metode Runge-Kutta orde empat. Model matematika penyebaran virus Covid-19 berbentuk sistem persamaan diferensial yang mencakup variabel Susceptible (S) yaitu populasi manusia yang rentan terinveksi virus Covid-19, Infectious (I) yaitu populasi manusia yang telah terinveksi virus Covid-19 dan Recovered (R) yaitu populasi manusia yang sudah sembuh atau yang sudah kebal terhadap virus Covid-19, yang digunakan sebagai nilai awal. Nilai  sebagai nilai parameter yang diselesaikan secara numerik menggunakan metode Runge-Kutta orde empat yang dilakukan sebanyak 20 iterasi dengan waktu interval  bulan menggunakan data dari Dinas Kesehatan Provinsi Maluku dan Polda Maluku tahun 2020 sampai 2021. Berdasarkan data yang diperoleh maka nilai rata-rata dari data tersebut yang digunakan sebagai nilai awal dimana , , . Nilai awal dan nilai parameter disubstitusikan kedalam solusi numerik dan disimulasikan menggunakan dan Matlab sebagai alat bantu. Nilai laju setiap kelas untuk 20 bulan kedepan yaitu untuk laju kelas individu rentan (S) sebesar 69.270 jiwa, untuk laju kelas individu terinfeksi (I) sebesar 19.167 jiwa dan untuk laju kelas individu sembuh (R) sebesar 851 jiwa. Ini berarti bahwa untuk populasi (S) dan (I) akan mengalami penurunan untuk 20 bulan kedepan sedangkan untuk populasi (R) akan mengalami kenaikan pada 20 bulan kedepan.","PeriodicalId":294430,"journal":{"name":"Tensor: Pure and Applied Mathematics Journal","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131389775","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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