{"title":"Forecasting Population of Madiun Regency Using ARIMA Method","authors":"Yuniar Farida, Mayandah Farmita, Nurissaidah Ulinnuha, Dian Yuliati","doi":"10.18860/ca.v7i3.16156","DOIUrl":"https://doi.org/10.18860/ca.v7i3.16156","url":null,"abstract":"The high population growth of the Madiun Regency can cause population density that can have implications for other problems, both in terms of social, economic, welfare, security, land availability, availability of clean water, and food needs. This study aims to predict the population growth of Madiun Regency using the ARIMA method. The ARIMA (Autoregressive Integrated Moving Average) method is popular for forecasting time series data, which is reliable because the calculation process is done gradually. This study uses annual population data of Madiun Regency from 1983 to 2021 and produces an ARIMA forecasting model (0,2,1) with a MAPE value of 8.42%. The results of this study are expected to be used as information from the Madiun Regency government in anticipating the emergence of problems caused by the population level of Madiun Regency in the future.","PeriodicalId":388519,"journal":{"name":"CAUCHY: Jurnal Matematika Murni dan Aplikasi","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126641807","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}
Mila Kurniawaty, Maulana Muhamad Arifin, B. Kurniawan, Sadam Laksamana Sukarno, Muhammad Teguh Prayoga
{"title":"Actuarial Modeling of COVID-19 Insurance","authors":"Mila Kurniawaty, Maulana Muhamad Arifin, B. Kurniawan, Sadam Laksamana Sukarno, Muhammad Teguh Prayoga","doi":"10.18860/ca.v7i3.14999","DOIUrl":"https://doi.org/10.18860/ca.v7i3.14999","url":null,"abstract":"In this article, we provide an actuarial model expected to be able to help financial arrangements to cover losses due to the outbreak of coronavirus disease (COVID-19). We construct the dynamical models of premium and benefit based on generalized SEIR (Susceptible-Exposed-Infected-Recovered). Based on its dynamical model, we formulate the premium and the premium reserves on hospitalization and death benefits of the COVID-19 insurance.","PeriodicalId":388519,"journal":{"name":"CAUCHY: Jurnal Matematika Murni dan Aplikasi","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125248908","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}
C. N. Rosyidi, Nina Salsabila Sulistiani, P. W. Laksono
{"title":"A Mixed Integer Linear Programming Model of Order Allocation Involving Mass Customization Logistic Service (MCLS)","authors":"C. N. Rosyidi, Nina Salsabila Sulistiani, P. W. Laksono","doi":"10.18860/ca.v7i3.15398","DOIUrl":"https://doi.org/10.18860/ca.v7i3.15398","url":null,"abstract":"In an increasing business competition, a company has to improve its competitiveness by focus more on supply chain management. One of the crucial problems in supply chain deals with the allocation of orders. More and more companies are starting to adoptMass Customization Logistics Service (MCLS) mode to determine the optimal allocations of order both from suppliers and to customized logistics services at the possible lowest cost. For this purpose, a third party is needed, namely Logistic Service Integrator (LSI) in providing logistics services. However, since LSI cannot meet all customer needs, LSI chooses to outsource logistics tasks to a Functional Logistics Service Provider (FLSP). This research was developed to help decision-makers ofmanufacturing companies in making optimal decision concerning order allocations that minimize the total supply chain costs involving Mass Customization Logistics Service (MCLS).","PeriodicalId":388519,"journal":{"name":"CAUCHY: Jurnal Matematika Murni dan Aplikasi","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132769719","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}
{"title":"Confidence Intervals for the Mean Function of a Compound Cyclic Poisson Process in the Presence of Power Function Trend","authors":"F. Muhammad, I. Mangku, B. P. Silalahi","doi":"10.18860/ca.v7i3.15989","DOIUrl":"https://doi.org/10.18860/ca.v7i3.15989","url":null,"abstract":"We consider the problem of estimating the mean function of a compound cyclic Poisson process in the presence of power function trend. The objectives of this paper are: (i) to construct confidence interval for the mean function of a compound cyclic Poisson process with significance level , (ii) to prove that the probability that the mean function contained in the confidence interval converges to , and (iii) to observe, using simulation study, that the probabilities of the mean function contained in the confidence intervals for bounded length of observation interval. The main results are a confidence interval for the mean function and a theorem about convergence of the probability that the mean function contained in confidence interval. The simulation study shows that the probability that the mean function contained in the confidence interval is in accordance with the theorem. The contribution of this study is to provide information for users regarding confidence interval for the mean function of a compound cyclic Poisson process in the presence of power function trend.","PeriodicalId":388519,"journal":{"name":"CAUCHY: Jurnal Matematika Murni dan Aplikasi","volume":"169 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116845953","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}