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Penentuan Cadangan Premi Asuransi Jiwa Bersama Dwiguna dengan Metode Canadian 在加拿大方法下共同确定人寿保险费的储备金
Journal of Mathematics : Theory and Application Pub Date : 2020-08-26 DOI: 10.31605/jomta.v2i1.748
Darma Ekawati, Fardinah
{"title":"Penentuan Cadangan Premi Asuransi Jiwa Bersama Dwiguna dengan Metode Canadian","authors":"Darma Ekawati, Fardinah","doi":"10.31605/jomta.v2i1.748","DOIUrl":"https://doi.org/10.31605/jomta.v2i1.748","url":null,"abstract":"Premium reserve is a number of funds that need to be raised by insurance company in preparation for the payment of claims when the policyholder dies. One of the simplest methods to calculate premium reserving is the prospective premium reserve modified using Canadian method which is a modification of the prospective method. Calculation in this study is using Indonesian Mortality Table (TMI) 2011 This study aims to determine the premium reserves using the Canadian method of endowment joint life insurance. Joint life insurance participants in this study are limited to 2 people. The calculation of premium reserves in this study using TMI 2011, starting with calculating the value of annuities, net annual premiums, annual premiums modified based on the Canadian method, and premium reserves at the end of the t-year in the endowment joint life insurance.","PeriodicalId":400972,"journal":{"name":"Journal of Mathematics : Theory and Application","volume":"74 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126177811","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
Aplikasi Metode Arima Box-Jenkins Untuk Meramalkan Penggunaan Harian Data Seluler Arima - jenkins方法应用程序预测每日移动数据的使用
Journal of Mathematics : Theory and Application Pub Date : 2020-08-26 DOI: 10.31605/jomta.v2i1.749
Khalilah Nurfadila, Ilham Aksan
{"title":"Aplikasi Metode Arima Box-Jenkins Untuk Meramalkan Penggunaan Harian Data Seluler","authors":"Khalilah Nurfadila, Ilham Aksan","doi":"10.31605/jomta.v2i1.749","DOIUrl":"https://doi.org/10.31605/jomta.v2i1.749","url":null,"abstract":"The Box-Jenkins method is one of the time forecasting methods series.  This method uses values in the past as the dependent variable and variable independently ignored.  The Box-Jenkins method has the advantage of being usable on non-stationary data can be used on all data patterns so that this method can be used to predict the daily use of cellular data.  The purpose of the study to find out the model and predict the amount of cellular data daily usage using data from March 10, 2020 to May 29, 2020. Results of the analysis shows the best model for daily use of cellular data is ARIMA (0,1,2). The best model meets the test requirements, namely the parameter significance test and diagnostic checking.","PeriodicalId":400972,"journal":{"name":"Journal of Mathematics : Theory and Application","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116034994","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: 5
Pelabelan -k total tak reguler sisi para graf tas dan graf pura 对包和普拉提的比例是完全不规则的
Journal of Mathematics : Theory and Application Pub Date : 2020-08-26 DOI: 10.31605/jomta.v2i1.783
Meryta Febrilian Fatimah -, Sauki, Eka Putri Ayu Lestari
{"title":"Pelabelan -k total tak reguler sisi para graf tas dan graf pura","authors":"Meryta Febrilian Fatimah -, Sauki, Eka Putri Ayu Lestari","doi":"10.31605/jomta.v2i1.783","DOIUrl":"https://doi.org/10.31605/jomta.v2i1.783","url":null,"abstract":"Given that G is a simple and connected graph with a set of points and sides, that is, denoted  and  respectively. The labeling –k total of irregular edges of graph G is that each edge has a different weight. The smallest k value contained in the labeling -k total irregular edges is called the irregular strength of the total side of G which is denoted by the test (G). In this paper, the author examines the irregular strength of the total side of the bag graph and the temple graph. The bag graph is denoted by Ts (n) with the test value  and the temple graph is denoted by Pu (n) with the test value","PeriodicalId":400972,"journal":{"name":"Journal of Mathematics : Theory and Application","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124046923","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 Penyebaran Hoax COVID-19
Journal of Mathematics : Theory and Application Pub Date : 2020-08-26 DOI: 10.31605/jomta.v2i1.756
W. Nur, D. Darmawati
{"title":"Model Matematika Penyebaran Hoax COVID-19","authors":"W. Nur, D. Darmawati","doi":"10.31605/jomta.v2i1.756","DOIUrl":"https://doi.org/10.31605/jomta.v2i1.756","url":null,"abstract":"In this article, the problem of spreading hoaxes during the corona-19 outbreak is studied using a mathematical model. Currently, we often see a lot of hoaxes that are very unsettling, for example the news that eggs are a corona drug. In addition, there have been denials of funerals for Covid victims in various regions. In this article, the impact of government education and outreach, decisive action against hoax spreaders and ignorance of people who understand the problem of Covid-19 regarding the spread of hoaxes. The model built using 4 compartments, equilibrium point, free hoax spreader, basic reproduction number and sensitivity analysis are discussed in this article. Several numerical simulations are provided to test the theoretical study of the model","PeriodicalId":400972,"journal":{"name":"Journal of Mathematics : Theory and Application","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124958811","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 Penggunaan Kuota Internet Menggunakan Metode Autoregressive Integrated Moving Average (ARIMA)
Journal of Mathematics : Theory and Application Pub Date : 2020-08-26 DOI: 10.31605/jomta.v2i1.777
Tasna Yunita
{"title":"Peramalan Jumlah Penggunaan Kuota Internet Menggunakan Metode Autoregressive Integrated Moving Average (ARIMA)","authors":"Tasna Yunita","doi":"10.31605/jomta.v2i1.777","DOIUrl":"https://doi.org/10.31605/jomta.v2i1.777","url":null,"abstract":"Internet quota is the number of limits or limits of usage in internet use.To overcome this, it is necessary to forecast the amount of internet quota usage. The purpose of this study is to predict the amount of internet quota usage using the Autoregressive Integrated Moving Average (ARIMA) method. The ARIMA method commonly called the Box-Jenkins method is a method used for short-term forecasting with the assumption that the time series data used must be stationary, meaning that the average variation of the data in question is constant. The bedt model obtained to predict the amount of internet quota usage is the AR (1) or ARIMA (1,0,0) models. From the forecasting results it can be seen that the amount of internet quota usage is increasing every day \u0000 ","PeriodicalId":400972,"journal":{"name":"Journal of Mathematics : Theory and Application","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127784971","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: 10
Model Matematika Mangsa-Pemangsa dengan Sebagian Mangsa Sakit dan Pemanenan pada Pemangsa 数学模型的捕食者与部分患病的猎物和收获的捕食者
Journal of Mathematics : Theory and Application Pub Date : 2019-10-01 DOI: 10.31605/jomta.v1i2.695
Rina, Yuliani, Muh. Ilyas
{"title":"Model Matematika Mangsa-Pemangsa dengan Sebagian Mangsa Sakit dan Pemanenan pada Pemangsa","authors":"Rina, Yuliani, Muh. Ilyas","doi":"10.31605/jomta.v1i2.695","DOIUrl":"https://doi.org/10.31605/jomta.v1i2.695","url":null,"abstract":"Tujuan penelitian ini adalah mengetahui analisis model matematika mangsa-pemangsa dengan sebagian mangsa sakit dan pemanenan pada pemangsa. Pada penelitian ini diperoleh tiga titik keseimbangan yaitu , , dan T3. Analisis kestabilan titik keseimbangan dilakukan dengan metode linearisasi di sekitar titik keseimbangan interior  kemudian dari matriks Jacobi diperoleh persamaan karakteristik yang dilanjutkan dengan Uji Kestabilan Hurwitz. Melalui simulasi numerik dengan menggunakan nilai parameter yang dimodifikasi dari penelitian sebelumnya, diperoleh titik keseimbangan interior  yang stabil asimtotik.","PeriodicalId":400972,"journal":{"name":"Journal of Mathematics : Theory and Application","volume":"91 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131206512","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
Persamaan Riccati dengan Metode Adams-Bashforth-Moulton Riccati与adams - bashforthmoulton方法相似
Journal of Mathematics : Theory and Application Pub Date : 2019-10-01 DOI: 10.31605/jomta.v1i2.698
Muhammd Abdy, Ahmad Zaki, Amni Rasyidah
{"title":"Persamaan Riccati dengan Metode Adams-Bashforth-Moulton","authors":"Muhammd Abdy, Ahmad Zaki, Amni Rasyidah","doi":"10.31605/jomta.v1i2.698","DOIUrl":"https://doi.org/10.31605/jomta.v1i2.698","url":null,"abstract":"Persamaan Riccati merupakan persamaan differensial non linear dengan bentuk persamaan yang cukup kompleks. Pada paper ini digunakan metode Adams-Bashforth-Moulton untuk mencari penyelesaian numerik pada titik tertentu dari suatu persamaan Riccati","PeriodicalId":400972,"journal":{"name":"Journal of Mathematics : Theory and Application","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133331358","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
Estimasi Parameter Model SIR dengan Algoritma Genetik
Journal of Mathematics : Theory and Application Pub Date : 2019-10-01 DOI: 10.31605/jomta.v1i2.696
Darmawati, Wahyudin Nur, Zaiful Nur
{"title":"Estimasi Parameter Model SIR dengan Algoritma Genetik","authors":"Darmawati, Wahyudin Nur, Zaiful Nur","doi":"10.31605/jomta.v1i2.696","DOIUrl":"https://doi.org/10.31605/jomta.v1i2.696","url":null,"abstract":"Model SIR merupakan salah satu model deterministik dasar dalam matematika epidemiologi. Sejak diperkenalkan oleh Kermack dan McKendrick, model deterministik terus mengalami perkembangan sesuai dengan karakteristik kasus yang dimodelkan. Perkembangan model deterministik dapat dilihat dari jumlah kompartemen, parameter, maupun teori dasar persamaan modelnya. Saat ini, model deterministik tidak hanya menggunakan persamaan diferensial biasa, namun juga menggunakan persamaan diferensial delay ataupun persamaan diferensial fraksional. Meskipun demikian, dalam beberapa kasus model klasik SIR tetap relevan digunakan untuk memperoleh gambaran penyebaran penyakit. Dalam makalah ini, penulis mengestimasi parameter model SIR menggunakan data Demam Berdarah. Model tersebut menrupakan sistem persamaan diferensial biasa sehingga dalam estimasinya menggunakan metode penyelesaian persamaan diferensial biasa. Dalam hal ini, penulis menggunakan metode Runge Kutta Orde 4. Untuk optimasi nilai errornya, penulis menggunakan salah satu metode heuristik yang terkenal dengan nama algoritma genetika. Algoritm genetika yang digunakan adalah algoritma genetika biner. Selain hasil estimasi, penulis juga memberikan beberapa simulasi untuk melihat pengaruh intervensi terhadap penyebaran demam berdarah.","PeriodicalId":400972,"journal":{"name":"Journal of Mathematics : Theory and Application","volume":"39 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126435871","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: 2
Persamaan Relasi Fuzzy Dan Aplikasinya Pada Proses Diagnosis Penyakit 模糊关系方程和疾病诊断过程中的应用
Journal of Mathematics : Theory and Application Pub Date : 2019-10-01 DOI: 10.31605/jomta.v1i2.697
Muhammd Abdy, Fardinah, Meryta Febrilian Fatimah
{"title":"Persamaan Relasi Fuzzy Dan Aplikasinya Pada Proses Diagnosis Penyakit","authors":"Muhammd Abdy, Fardinah, Meryta Febrilian Fatimah","doi":"10.31605/jomta.v1i2.697","DOIUrl":"https://doi.org/10.31605/jomta.v1i2.697","url":null,"abstract":"Relasi pada himpunan biasa merepresentasikan adanya keterkaitan diantara elemen-elemen dalam pasangan terurut dari dua himpunan. Derajat keterkaitan dari hubungan antara elemen dalam pasangan terurut tersebut diukur oleh fungsi karakteristik , yaitu fungsi yang memetakan setiap pasangan terurut kedalam himpunan . Fungsi karakteristik  tersebut dapat diperluas sehingga  akan memetakan setiap pasangan terurut ke dalam interval [0,1]. Fungsi yang diperluas ini disebut fungsi keanggotaan dan relasinya disebut sebagai relasi fuzzy. Relasi fuzzy dalam ruang perkalian yang sama dapat dikombinasikan antara satu dengan yang lain. Kombinasi relasi fuzzy yang akan dibahas dalam tulisan ini adalah komposisi max-min. komposisi tersebut dapat diinterpretasikan sebagai indikasi kekuatan suatu hubungan yang dinyatakan oleh derajat keanggotaan hubungan tersebut. Representasi dari kekuatan ini akan dipakai dalam aplikasi pada proses diagnose penyakit, yaitu menentukan hubungan antara gejala dan penyakit, antara pasien dan penyakit, dan antara pasien dan gejala.","PeriodicalId":400972,"journal":{"name":"Journal of Mathematics : Theory and Application","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123904831","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
Estimasi Data Hilang pada Rancangan Split–Block Menggunakan Metode Yates 分割设计中丢失的数据估计——使用耶茨方法的区块
Journal of Mathematics : Theory and Application Pub Date : 2019-10-01 DOI: 10.31605/jomta.v1i2.693
Nurhafizah, I Gede Ekaputra Gunartha, Nurul Fitriyani
{"title":"Estimasi Data Hilang pada Rancangan Split–Block Menggunakan Metode Yates","authors":"Nurhafizah, I Gede Ekaputra Gunartha, Nurul Fitriyani","doi":"10.31605/jomta.v1i2.693","DOIUrl":"https://doi.org/10.31605/jomta.v1i2.693","url":null,"abstract":"Rancangan split-block merupakan suatu rancangan percobaan dengan dua faktor atau lebih, dimana ketepatan pengaruh interaksi antar faktor lebih diutamakan dibandingkan dengan pengaruh mandiri masing-masing faktor. Dalam percobaan yang dilakukan, seringkali pelaksanaannya tidak sesuai dengan yang diharapkan, sehingga kadangkala menyebabkan tidak lengkapnya data yang diperoleh. Penelitian ini bertujuan untuk menentukan nilai estimasi data yang tidak lengkap atau data hilang pada rancangan split-block, serta mengukur kesalahan dan ketelitian hasil estimasi data hilang yang dihasilkan. Metode yang digunakan dalam mengestimasi data hilang adalah metode Yates, yaitu metode dengan nilai estimasi yang meminimumkan jumlah kuadrat galat percobaan. Berdasarkan hasil analisis yang telah dilakukan pada data simulasi, diberikan hasil bahwa semakin banyak jumlah data yang hilang yang diestimasi dengan menggunakan metode Yates, maka semakin banyak iterasi yang dibutuhkan, sehingga menyebabkan metode estimasi menjadi kurang efisien. Selanjutnya, jumlah iterasi dalam proses estimasi, ukuran kesalahan, dan ukuran ketelitian yang diperoleh dari hasil estimasi menunjukkan bahwa nilai estimasi terbaik adalah ketika data hilang yang dimiliki maksimal 2 (dua) data hilang.","PeriodicalId":400972,"journal":{"name":"Journal of Mathematics : Theory and Application","volume":"42 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128454460","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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