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Mantik Jurnal Matematika最新文献

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Investigation of the Relationship Between Economic Growth and use of Fossil and Hydroelectric Energy Resources by ARDL Boundary Test: 1971-2018 Iraq Case 基于ARDL边界检验的经济增长与化石和水电能源利用关系研究:1971-2018年伊拉克案例
Mantik Jurnal Matematika Pub Date : 2021-10-31 DOI: 10.15642/mantik.2021.7.2.155-164
R. Masiha, Sadeq Taha Abdulazeez, Dindar Saeed Saeed
{"title":"Investigation of the Relationship Between Economic Growth and use of Fossil and Hydroelectric Energy Resources by ARDL Boundary Test: 1971-2018 Iraq Case","authors":"R. Masiha, Sadeq Taha Abdulazeez, Dindar Saeed Saeed","doi":"10.15642/mantik.2021.7.2.155-164","DOIUrl":"https://doi.org/10.15642/mantik.2021.7.2.155-164","url":null,"abstract":"Energy is an important input for economies. In this context, many countries have conducted studies to examine how energy affects their economies. In addition, the relationship between energy and economic growth is an important indicator in guiding economic policies. In this study, the effect of Energy Production from Fossil Sources (EPFS) and Energy Production from Hydroelectric Sources (EPHS) on Economic Growth (GDP) for Iraq was analyzed with the ARDL Cointegration test. The data of Iraq used in the study were taken from the official web address of the World Bank and covers the years between 1971-2018. A significant and positive relationship has been found between the energy resources discussed in the study and economic growth. In addition, according to the Toda-Yamamoto causality analysis, a causality relationship from the use of fossil energy resources to economic growth was found. Likewise, a causality relationship has been found from the use of hydroelectric energy resources to economic growth.","PeriodicalId":32704,"journal":{"name":"Mantik Jurnal Matematika","volume":"148 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72717138","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
Optimization of Inventory Level Using Fuzzy Probabilistic Exponential Two Parameters Model 基于模糊概率指数二参数模型的库存水平优化
Mantik Jurnal Matematika Pub Date : 2021-10-31 DOI: 10.15642/mantik.2021.7.2.124-131
Eka Susanti, Indrawati, Robinson Sitepu
{"title":"Optimization of Inventory Level Using Fuzzy Probabilistic Exponential Two Parameters Model","authors":"Eka Susanti, Indrawati, Robinson Sitepu","doi":"10.15642/mantik.2021.7.2.124-131","DOIUrl":"https://doi.org/10.15642/mantik.2021.7.2.124-131","url":null,"abstract":"Inventory control is an important factor in trading activities. Inventory control aims to ensure product availability. Several factors affect the level of inventory including the level of demand factor, maximum inventory, and the level of deterioration. If the influencing factors cannot be defined with certainty and follow a certain statistic distribution then the fuzzy probabilistic approach can be applied. This research discusses the problem of optimizing the inventory of red chillies at the retail level. The level of deterioration is assumed to follow an exponential distribution and demand follows a Pareto distribution. Statistical parameters are estimated using the Maximum likelihood method and cost parameters are expressed by triangular fuzzy numbers. Based on the calculation results for several beta values, the highest total cost is 405143.6 rupiah, a maximum inventory level of 15 kg, and an order cycle time of 0.923 days.","PeriodicalId":32704,"journal":{"name":"Mantik Jurnal Matematika","volume":"2 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76017016","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
Regional Economic Growth: A Spatial Durbin Model Approach 区域经济增长:一个空间德宾模型方法
Mantik Jurnal Matematika Pub Date : 2021-10-31 DOI: 10.15642/mantik.2021.7.2.147-154
A. Karim
{"title":"Regional Economic Growth: A Spatial Durbin Model Approach","authors":"A. Karim","doi":"10.15642/mantik.2021.7.2.147-154","DOIUrl":"https://doi.org/10.15642/mantik.2021.7.2.147-154","url":null,"abstract":"The purpose of this study is to determine the effect of spatial dependence on Gross Regional Domestic Product (GRDP) in Central Java Province. Spatial Durbin Model (SDM) is a regression model consisting of a spatial data structure which is the development of the Spatial Autoregressive Model (SAR). There is an additional spatial effect on the component of the independent variable that is not included in the SAR model or commonly referred to as an indirect effect on the independent variable. This indicates that SDM has advantages compared to SAR because there are spatial effects on the dependent and independent variables, the spatial weighted matrix used in this study is row-normalized binary contiguity. The data used in this study is sourced from the Central Java Statistics Agency (BPS) in 2019 for 35 districts and cities, which GRDP as the dependent variable, labor, human resources, and road infrastructure as independent variables. Based on the results of the analysis, the AIC value shows that SDM is significantly better than the ordinary least square (OLS) and SAR models. SDM results show that human resources have a positive sign and a direct effect of 88.5 percent and an indirect effect of 13.1 percent. In addition, the labor variable has an indirect effect on GRDP of 22.2 percent.","PeriodicalId":32704,"journal":{"name":"Mantik Jurnal Matematika","volume":"120 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87741476","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
The Testing of Existence Wagner's Law in Papua Province 存在瓦格纳定律在巴布亚省的检验
Mantik Jurnal Matematika Pub Date : 2021-10-31 DOI: 10.15642/mantik.2021.7.2.132-139
M. Fajar, Yuyun Guna Winarti
{"title":"The Testing of Existence Wagner's Law in Papua Province","authors":"M. Fajar, Yuyun Guna Winarti","doi":"10.15642/mantik.2021.7.2.132-139","DOIUrl":"https://doi.org/10.15642/mantik.2021.7.2.132-139","url":null,"abstract":"The Law of Wagner is supposedly not universally applicable. There are debates about the truth of this law. Based on this phenomenon, the purpose of this study is to examine the existence of Wagner's Law in the economy of Papua Province. Data used in this research are GRDP (Gross Regional Domestic Product) at the constant price (Real GRDP) and government expenditure at the constant price (Real GOV) in the form of natural logarithms (the base year 2000) from all municipalities in Papua Province from 2000 to 2013. Data source comes from Badan Pusat Statistik-Statistics Indonesia. The method used in this research is The Kao Cointegration Test and The Granger Causality Test. These methods indicate the possibility of short-term and long-term effects across economic variables. The result of this study concludes that there is a significant relationship between government expenditure and Gross Regional Domestic Product (GRDP). This result means that Wagner’s Law is not proven in the Papuan economy. This is supported by a causality test which shows government expenditure is granger cause of the real GDP, but not vice versa. However, the two variables are cointegrating.","PeriodicalId":32704,"journal":{"name":"Mantik Jurnal Matematika","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76711047","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
Michaelis-Menten Models with Constant Harvesting of Restricted Prey Populations Minimum Place and Amount Capacity 限定猎物种群最小空间和容量的Michaelis-Menten模型
Mantik Jurnal Matematika Pub Date : 2021-10-31 DOI: 10.15642/mantik.2021.7.2.107-114
Aswar Anas, Marsidi
{"title":"Michaelis-Menten Models with Constant Harvesting of Restricted Prey Populations Minimum Place and Amount Capacity","authors":"Aswar Anas, Marsidi","doi":"10.15642/mantik.2021.7.2.107-114","DOIUrl":"https://doi.org/10.15642/mantik.2021.7.2.107-114","url":null,"abstract":"Food chain modeling is currently developing rapidly. The ecosystem is protected from the chain of eating and eating processes. All living things need each other, but if the process of eating them is not balanced, then the extinction of living things will occur. One of them is the prey and predator model that serves as a balancer in the food chain system. The Michaelis-Menten model is a prey-predator model that essentially prevents prey extinction. The problem is how to keep the prey from becoming extinct but with maximum harvesting in one place and the minimum amount of prey at the right time. The method used to overcome this problem is to add two new variables to the Michaelis-Menten model, namely the minimum number of prey and the capacity of the place to be occupied. It is seen that the system will be in equilibrium if the predator mortality rate is large so that the prey is kept from extinction until harvesting. In addition, the right time for good breeding can also be determined. From this model, it is found that the right time for harvesting so that prey extinction does not occur is","PeriodicalId":32704,"journal":{"name":"Mantik Jurnal Matematika","volume":"32 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87904903","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
Modeling of COVID-19 Epidemic Growth Curve in Indonesia 印度尼西亚COVID-19疫情增长曲线建模
Mantik Jurnal Matematika Pub Date : 2021-05-31 DOI: 10.15642/MANTIK.2021.7.1.67-73
M. Fajar, W. Wahyudi
{"title":"Modeling of COVID-19 Epidemic Growth Curve in Indonesia","authors":"M. Fajar, W. Wahyudi","doi":"10.15642/MANTIK.2021.7.1.67-73","DOIUrl":"https://doi.org/10.15642/MANTIK.2021.7.1.67-73","url":null,"abstract":"Aim of this study is to make parametric modeling of the COVID-19 epidemic growth curve so that the maximum value and time at that point can be obtained from the cumulative cases of COVID-19. The data used in this study is the cumulative number of positive confirmed cases of COVID-19 from https://covid19.go.id/. The method used in this study is fitting data with the Logistic and Gompertz models. Result of this study are (1) the Logistic and Gompertz models are very fit in modeling the COVID-19 epidemic growth curve, indicated from the value of R2 (coefficient of determination) which reaches more than 99%; (2) From the Logistics model it is obtained that the estimated amount of the maximum cumulative case at the end of the COVID-19 epidemic is 7,714 positive confirmed cases, achieved in about 82 days (May 22, 2020) from Mar 2, 2020, when the first positive COVID-19 case was announced by the government; and (3) From the Gompertz model, it is obtained that the estimated maximum cumulative case at the end of the COVID-19 epidemic is 33,975 positive confirmed cases, achieved in about 152 days (Jul 30, 2020) from Mar 2, 2020. The results of this study can be used as input to the government to take steps in controlling the spread of COVID-19.","PeriodicalId":32704,"journal":{"name":"Mantik Jurnal Matematika","volume":"102 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85194593","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
Control of The Spread of TB-HIV/AIDS Coinfection Using Optimal Control 结核-艾滋病毒/艾滋病合并感染的最优控制
Mantik Jurnal Matematika Pub Date : 2021-05-31 DOI: 10.15642/mantik.2021.7.1.96-106
Yuyun Monita, Putroue Keumala Intan
{"title":"Control of The Spread of TB-HIV/AIDS Coinfection Using Optimal Control","authors":"Yuyun Monita, Putroue Keumala Intan","doi":"10.15642/mantik.2021.7.1.96-106","DOIUrl":"https://doi.org/10.15642/mantik.2021.7.1.96-106","url":null,"abstract":"The condition in which an individual is affected by TB and HIV/AIDS in his body is called a TB-HIV/AIDS coinfection. This research aims to minimize the populations of TB-HIV/AIDS coinfection with a minimum expenditure on medical expenses, that means minimizing the objective’s function ( ) or purpose function. In this research, modification of the model was carried out by adding the treatment population for HIV patients with ARV ( ). The population used was 11 classes with the use of three controls including treatment for individuals with latent TB ( ), active TB ( ), and HIV ( ). After performing numerical simulation using the forward backward fourth order Runge-Kutta, the results show that scenario 7 is the best scenario in controlling the spread of TB-HIV/AIDS coinfection because it resulted a minimum  value of 1401,44. This means that providing the treatment for individuals with latent TB, active TB, and HIV in tandem can reduce the populations of TB-HIV/AIDS coinfection in the minimum treatment cost.","PeriodicalId":32704,"journal":{"name":"Mantik Jurnal Matematika","volume":"119 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88665558","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
Implementation of Dijkstra Algorithm and Welch-Powell Algorithm for Optimal Solution of Campus Bus Transportation 校园巴士交通最优解的Dijkstra算法和Welch-Powell算法的实现
Mantik Jurnal Matematika Pub Date : 2021-05-31 DOI: 10.15642/mantik.2021.7.1.31-40
Nurwan Nurwan, Widya Eka Pranata, Muhamad Rezky Friesta Payu, Nisky Imansyah Yahya
{"title":"Implementation of Dijkstra Algorithm and Welch-Powell Algorithm for Optimal Solution of Campus Bus Transportation","authors":"Nurwan Nurwan, Widya Eka Pranata, Muhamad Rezky Friesta Payu, Nisky Imansyah Yahya","doi":"10.15642/mantik.2021.7.1.31-40","DOIUrl":"https://doi.org/10.15642/mantik.2021.7.1.31-40","url":null,"abstract":"This research deals with applying the Dijkstra algorithm and Welch-Powell algorithm to on-campus bus transportation problems. This research aims to determine the optimal solution of campus bus transportation routes in the shortest routes and schedules. In determining the fastest way, each intersection represented as a node, and the path described as the sides. The shortest path obtained    V1 - V2 - V5 - V8 - V9 - V10 - V13 - V16.  In determining the optimal schedule, the number of buses represents the vertices, and the time expresses the side that connects each node. The optimal program of the bus starts from 06.30 am to 5.00 pm. Every bus gets four sessions of departure and four sessions return with travel time each session is 60 minutes.","PeriodicalId":32704,"journal":{"name":"Mantik Jurnal Matematika","volume":"10 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78757681","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
Multivariate Adaptive Regression Splines (MARS) for Modeling Student Status at Universitas Terbuka 多变量自适应回归样条(MARS)在特布卡大学学生状态建模中的应用
Mantik Jurnal Matematika Pub Date : 2021-05-31 DOI: 10.15642/mantik.2021.7.1.51-58
Siti Hadijah Hasanah
{"title":"Multivariate Adaptive Regression Splines (MARS) for Modeling Student Status at Universitas Terbuka","authors":"Siti Hadijah Hasanah","doi":"10.15642/mantik.2021.7.1.51-58","DOIUrl":"https://doi.org/10.15642/mantik.2021.7.1.51-58","url":null,"abstract":"Multivariate Adaptive Regression Splines (MARS) used to model the active student’s status in the Department of Statistics at Universitas Terbuka and determine the factors that influence the response variable. This study consists of 9 variables, namely gender, age, education, marital status, job, initial registration year, number of registrations, credits, and GPA, but after modeling using the MARS method, the explanatory variable can affect the response variable is the initial registration year. Several registrations, GPA, and credits. Based on the results of the R output and using a 95% confidence interval, each base 1 to 10 function is partially significant with the p-value of the base 1-10 function being smaller than 0.05 and simultaneously with a smaller p-value. of 0.05, so that the above model has a significant effect partially or simultaneously on the response variable. From these results, it is concluded that the MARS model is suitable for determining the factors that affect the active status of students.","PeriodicalId":32704,"journal":{"name":"Mantik Jurnal Matematika","volume":"205 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77459815","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
Optimization of Balanced Menu for Pregnant Women in Grobogan-Central Java using Simplex Method 用单纯形法优化grobogan -中爪哇地区孕妇均衡菜单
Mantik Jurnal Matematika Pub Date : 2021-05-31 DOI: 10.15642/mantik.2021.7.1.59-66
N. A. C. Dewi, Fitroh Resmi, P. T. Ngastiti
{"title":"Optimization of Balanced Menu for Pregnant Women in Grobogan-Central Java using Simplex Method","authors":"N. A. C. Dewi, Fitroh Resmi, P. T. Ngastiti","doi":"10.15642/mantik.2021.7.1.59-66","DOIUrl":"https://doi.org/10.15642/mantik.2021.7.1.59-66","url":null,"abstract":"This study aims to determine the optimization of balanced dietary composition for pregnant women. Determination of the optimization of balanced food is carried out by forming a linear model along with boundary conditions and objective functions, as well as inputting data on the age of pregnant women, age of pregnancy  and  maternal nutritional  needs, then the calculation  is carried out using the simplex method in order to obtain the weight of food ingredients that must be consumed to get a balanced nutrition, namely with 75 combinations that have been analyzed on groups of pregnant  women  aged  19-29  years  and  30-49  years  in  three trimesters,   including   staple   foods,   vegetables   (spinach,   green mustard,  cauliflower,  kale,  carrots),  fruit,  side  dishes  vegetables, nuts, sugar and milk with the recommended nutritional adequacy rate for the data content of water, energy, protein, fat, carbohydrate (KH), fiber, vitamin A, B1, B2, B3 and vitamin C. In the group of pregnant women aged 19-29 years and women aged  30-49 years in the three trimesters, it was found that the combination of 55 was the optimal combination with rice, kale, watermelon, and tofu.","PeriodicalId":32704,"journal":{"name":"Mantik Jurnal Matematika","volume":"3 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83263514","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
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