Pub Date : 2024-01-31DOI: 10.24843/mtk.2024.v13.i01.p439
Nia Armita, L. Harini, Ida Ayu Putu Ari Utari
Corona Virus Disease (COVID-19) is one of the disease outbreaks that has spread throughout the world since the end of 2019. This disease causes infected individuals to experience infections in the respiratory tract with a fairly high risk. One branch of mathematics that can help overcome this case is the formation of mathematical models. The model formed is the SIR model basically describes the spread of disease in the Susceptible (S), Infected (I), Recovered (R) classes, but in this study the Infected (I) class was classified into two and added parameters to decrease vaccine effectiveness. The former model is then used to find a solution in the form of a disease-free equilibrium point, where the point will be used to form a basic reproduction number. To prove that the equilibrium point found to be stable, a stability analysis will be carried out and in the model that has been formed it is found that the disease-free equilibrium point is locally asymptotic stable with the condition that. After analysis, it was found that the rate of decline in vaccine effectiveness was quite influential on the class of infection .
科罗娜病毒病（COVID-19）是自 2019 年年底以来蔓延全球的疾病疫情之一。这种疾病会导致感染者出现呼吸道感染，风险相当高。数学的一个分支可以帮助克服这种情况，那就是形成数学模型。所形成的模型是 SIR 模型，基本上描述了疾病在易感（S）、感染（I）、康复（R）等级中的传播情况，但在本研究中，感染（I）等级被分为两类，并添加了降低疫苗有效性的参数。然后利用前一个模型以无疾病平衡点的形式找到一个解，该点将被用来形成一个基本繁殖数。为了证明所发现的平衡点是稳定的，将进行稳定性分析，并在所形成的模型中发现无疾病平衡点是局部渐近稳定的，条件是： 1.经过分析发现，疫苗效力的下降率对感染类别有相当大的影响。
{"title":"MODEL MATEMATIKA SIR PADA PENYEBARAN PENYAKIT COVID-19 DENGAN EFEKTIVITAS VAKSIN","authors":"Nia Armita, L. Harini, Ida Ayu Putu Ari Utari","doi":"10.24843/mtk.2024.v13.i01.p439","DOIUrl":"https://doi.org/10.24843/mtk.2024.v13.i01.p439","url":null,"abstract":"Corona Virus Disease (COVID-19) is one of the disease outbreaks that has spread throughout the world since the end of 2019. This disease causes infected individuals to experience infections in the respiratory tract with a fairly high risk. One branch of mathematics that can help overcome this case is the formation of mathematical models. The model formed is the SIR model basically describes the spread of disease in the Susceptible (S), Infected (I), Recovered (R) classes, but in this study the Infected (I) class was classified into two and added parameters to decrease vaccine effectiveness. The former model is then used to find a solution in the form of a disease-free equilibrium point, where the point will be used to form a basic reproduction number. To prove that the equilibrium point found to be stable, a stability analysis will be carried out and in the model that has been formed it is found that the disease-free equilibrium point is locally asymptotic stable with the condition that. After analysis, it was found that the rate of decline in vaccine effectiveness was quite influential on the class of infection .","PeriodicalId":11600,"journal":{"name":"E-Jurnal Matematika","volume":"162 ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140475849","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}
Pub Date : 2024-01-31DOI: 10.24843/mtk.2024.v13.i01.p434
Nindi Sri Wahyuni, I. N. Widana, Kartika Sari
Asuransi jiwa merupakan perjanjian antara penanggung (perusahaan asuransi) dan tertanggung (peserta asuransi) untuk mengatasi masalah finansial yang timbul akibat kematian pihak tertanggung. Asuransi jiwa dibagi menjadi beberapa macam salah satunya adalah asuransi jiwa joint life yang merupakan asuransi jiwa gabungan dimana uang pertanggungan diberikan apabila salah satu tertanggung meninggal. Sebaliknya, peserta asuransi memiliki kewajiban untuk membayar sejumlah uang yang disebut premi ke perusahaan asuransi sesuai dengan kontrak yang telah disepakati. Model select table inilah yang akan digunakan dalam menghitung besar premi yang akan ditanggung oleh pihak tertanggung. Tujuan penelitian untuk menghitung premi dengan menggunakan model select table dan tanpa select table pada asuransi joint life berjangka untuk dua orang tertanggung. Tabel yang digunakan adalah Select Life Table with a two-year select period dalam buku Actuarial Mathematicts for Life Contingent Ris (Dickson, et al., 2009) dan Tabel Mortalitas Indonesia. Hasil yang diperoleh adalah nilai premi yang dihitung menggunakan model select table lebih kecil dari pada tanpa menggunakan select table, dimana jika perusahaana asuransi menggukana model select table dalam perhitungan premi, pihak tertanggung dapat membayar premi lebih kecil ke perusahaan asuransi
人寿保险是保险人（保险公司）与被保险人（保险参与者）之间为解决因被保险人死亡而产生的财务问题而签订的协议。人寿保险分为几种类型，其中一种是联合人寿保险，这是一种联合人寿保险，如果被保险人一方死亡，保险金额就会给付。反之，保险参与者有义务按照约定的合同向保险公司支付一笔钱，称为保费。在计算投保方应承担的保费金额时，将使用这种选择表模型。本研究的目的是计算使用选择表模型和不使用选择表的两个被保险人的联合人寿保险的保费。使用的表格是《Actuarial Mathematicts for Life Contingent Ris》（Dickson 等人，2009 年）一书中两年选择期的选择生命表和印度尼西亚死亡率表。得出的结果是，使用选择表模型计算的保费值小于不使用选择表的保费值，如果保险公司使用选择表模型计算保费，被保险人可以向保险公司支付较少的保费。
{"title":"Perhitungan Premi Asuransi Menggunakan Model Select Table Pada Asuransi Joint Life","authors":"Nindi Sri Wahyuni, I. N. Widana, Kartika Sari","doi":"10.24843/mtk.2024.v13.i01.p434","DOIUrl":"https://doi.org/10.24843/mtk.2024.v13.i01.p434","url":null,"abstract":"Asuransi jiwa merupakan perjanjian antara penanggung (perusahaan asuransi) dan tertanggung (peserta asuransi) untuk mengatasi masalah finansial yang timbul akibat kematian pihak tertanggung. Asuransi jiwa dibagi menjadi beberapa macam salah satunya adalah asuransi jiwa joint life yang merupakan asuransi jiwa gabungan dimana uang pertanggungan diberikan apabila salah satu tertanggung meninggal. Sebaliknya, peserta asuransi memiliki kewajiban untuk membayar sejumlah uang yang disebut premi ke perusahaan asuransi sesuai dengan kontrak yang telah disepakati. Model select table inilah yang akan digunakan dalam menghitung besar premi yang akan ditanggung oleh pihak tertanggung. Tujuan penelitian untuk menghitung premi dengan menggunakan model select table dan tanpa select table pada asuransi joint life berjangka untuk dua orang tertanggung. Tabel yang digunakan adalah Select Life Table with a two-year select period dalam buku Actuarial Mathematicts for Life Contingent Ris (Dickson, et al., 2009) dan Tabel Mortalitas Indonesia. Hasil yang diperoleh adalah nilai premi yang dihitung menggunakan model select table lebih kecil dari pada tanpa menggunakan select table, dimana jika perusahaana asuransi menggukana model select table dalam perhitungan premi, pihak tertanggung dapat membayar premi lebih kecil ke perusahaan asuransi","PeriodicalId":11600,"journal":{"name":"E-Jurnal Matematika","volume":"233 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140472751","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}
Pub Date : 2024-01-31DOI: 10.24843/mtk.2024.v13.i01.p436
Priscella Purba, G. K. Gandhiadi, Made Susilawati
Partial least squares (PLS) is a powerful analytical technique that may be utilised across all data scales, without the need for numerous assumptions and without the requirement of a large sample size. In this study, the PLS method was utilized to determine the elements influencing the performance of employees of PT Pegadaian (Persero) Medan Region I office. The elements employed in this study are: leadership, work environment, discipline, remuneration and work motivation. The results showed that work motivation has a positive and significant effect on employee performance with an effect of 0.733. Factors that affect employee performance at PT Pegadaian (Persero) Medan Region I Office, namely: work motivation, remuneration, discipline and work environment.
偏最小二乘法（PLS）是一种强大的分析技术，可用于所有数据规模，无需大量假设，也不需要大量样本。本研究利用 PLS 方法来确定影响 PT Pegadaian (Persero) 棉兰 I 区办事处员工绩效的要素。本研究采用的要素包括：领导力、工作环境、纪律、薪酬和工作动机。结果表明，工作动机对员工绩效有积极而显著的影响，影响值为 0.733。影响 PT Pegadaian (Persero) 棉兰 I 区办事处员工绩效的因素包括：工作动机、薪酬、纪律和工作环境。
{"title":"ANALISIS FAKTOR-FAKTOR YANG MEMENGARUHI KINERJA PEGAWAI MENGGUNAKAN PARTIAL LEAST SQUARE","authors":"Priscella Purba, G. K. Gandhiadi, Made Susilawati","doi":"10.24843/mtk.2024.v13.i01.p436","DOIUrl":"https://doi.org/10.24843/mtk.2024.v13.i01.p436","url":null,"abstract":"Partial least squares (PLS) is a powerful analytical technique that may be utilised across all data scales, without the need for numerous assumptions and without the requirement of a large sample size. In this study, the PLS method was utilized to determine the elements influencing the performance of employees of PT Pegadaian (Persero) Medan Region I office. The elements employed in this study are: leadership, work environment, discipline, remuneration and work motivation. The results showed that work motivation has a positive and significant effect on employee performance with an effect of 0.733. Factors that affect employee performance at PT Pegadaian (Persero) Medan Region I Office, namely: work motivation, remuneration, discipline and work environment.","PeriodicalId":11600,"journal":{"name":"E-Jurnal Matematika","volume":"909 ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140474296","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}
Pub Date : 2023-08-24DOI: 10.24843/mtk.2023.v12.i03.p424
I. Made, Agus Riotisna, I. Komang, Gde Sukarsa, Gusti Ayu, Made Srinadi, P. Eka, Nila Kencana
Decision Support System is a computer-based interactive system that helps decision making in utilizingnthe use of data and decision model models to solve problems that are semi-structured and unstructured The decision support system method is very diverse several methods that are often used, including the fuzzy logic method Expert System Method and the Analytical Hierarchy Process (AHP) method in this study will use the analytical hierarchy method AHP Process to Determine the Priority of Instant Drink Manufacturer Attributes at PT Kembar Putra Makmur The results of the study showed that the highest criteria were found in the delivery criteria with a value of 0 27 and the highest alternative was found in alternative KINO producers with a value of 0 55
决策支持系统是一个基于计算机的交互式系统，它帮助决策者利用数据和决策模型模型来解决半结构化和非结构化的问题，包括模糊逻辑方法专家系统方法和层次分析法（AHP）方法在内，本研究将使用层次分析法AHP过程来确定PT Kembar Putra Makmur速溶饮料制造商属性的优先级。研究结果表明，交付标准中的最高标准为0 27在替代KINO生产商中发现了替代品，价值为0.55
{"title":"PENENTUAN PRIORITAS ATRIBUT PRODUSEN MINUMAN INSTAN DENGAN MENGGUNAKAN METODE ANALYTIC HIERARCHY PROCESS","authors":"I. Made, Agus Riotisna, I. Komang, Gde Sukarsa, Gusti Ayu, Made Srinadi, P. Eka, Nila Kencana","doi":"10.24843/mtk.2023.v12.i03.p424","DOIUrl":"https://doi.org/10.24843/mtk.2023.v12.i03.p424","url":null,"abstract":"Decision Support System is a computer-based interactive system that helps decision making in utilizingnthe use of data and decision model models to solve problems that are semi-structured and unstructured The decision support system method is very diverse several methods that are often used, including the fuzzy logic method Expert System Method and the Analytical Hierarchy Process (AHP) method in this study will use the analytical hierarchy method AHP Process to Determine the Priority of Instant Drink Manufacturer Attributes at PT Kembar Putra Makmur The results of the study showed that the highest criteria were found in the delivery criteria with a value of 0 27 and the highest alternative was found in alternative KINO producers with a value of 0 55","PeriodicalId":11600,"journal":{"name":"E-Jurnal Matematika","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49609623","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}
Pub Date : 2023-08-24DOI: 10.24843/mtk.2023.v12.i03.p425
M. Rizki, Nur Ihsan, G. Gandhiadi, Luh Putu, Ida Harini
Based on the rules of the BAN-PT Study Program Accreditation Instrument 4.0 (IAPS 4.0), one of the study program accreditation assessment indicators is the percentage of students who graduate on time. The percentage of Udayana University Mathematics Study Program students who graduated on time during the graduation period from 2002 to 2019 was 52.5%. It can be seen that many students fail to complete their studies on time, which has an impact on the study program accreditation assessment. Based on these problems, this study aims to help academics increase the percentage of Udayana University Mathematics Study Program graduates by predicting the graduation of mathematics study program students using the backpropagation neural network method. This study uses data on alumni of students of the 2002-2017 mathematics study program. With the BNN 5-3-1 architecture, the predicted results of graduation for students of the Udayana University mathematics study program are 73%.
{"title":"PREDIKSI KELULUSAN MAHASISWA PROGRAM STUDI MATEMATIKA UNIVERSITAS UDAYANA MENGGUNAKAN BACKPROPAGATION NEURAL NETWORK","authors":"M. Rizki, Nur Ihsan, G. Gandhiadi, Luh Putu, Ida Harini","doi":"10.24843/mtk.2023.v12.i03.p425","DOIUrl":"https://doi.org/10.24843/mtk.2023.v12.i03.p425","url":null,"abstract":"Based on the rules of the BAN-PT Study Program Accreditation Instrument 4.0 (IAPS 4.0), one of the study program accreditation assessment indicators is the percentage of students who graduate on time. The percentage of Udayana University Mathematics Study Program students who graduated on time during the graduation period from 2002 to 2019 was 52.5%. It can be seen that many students fail to complete their studies on time, which has an impact on the study program accreditation assessment. Based on these problems, this study aims to help academics increase the percentage of Udayana University Mathematics Study Program graduates by predicting the graduation of mathematics study program students using the backpropagation neural network method. This study uses data on alumni of students of the 2002-2017 mathematics study program. With the BNN 5-3-1 architecture, the predicted results of graduation for students of the Udayana University mathematics study program are 73%.","PeriodicalId":11600,"journal":{"name":"E-Jurnal Matematika","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49386642","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}
Pub Date : 2023-08-23DOI: 10.24843/mtk.2023.v12.i03.p419
Avan AL-SAFFAR
In this article, we review the deterministic and perturbed Von Bertalanffy model that has been developing to discuss the existence and uniqueness results of the model. The key research issues are highlighted, and the results and interpretations are summarized. We investigate the effects of changing some of the system's control parameters through numerical simulations. We resolve the Von Bertalanffy ordinary differential equation of fractional order. The analytical solution is obtained.
{"title":"SOME NEW RESULTS OF A FRACTIONAL VON BERTALANFFY MODEL","authors":"Avan AL-SAFFAR","doi":"10.24843/mtk.2023.v12.i03.p419","DOIUrl":"https://doi.org/10.24843/mtk.2023.v12.i03.p419","url":null,"abstract":"In this article, we review the deterministic and perturbed Von Bertalanffy model that has been developing to discuss the existence and uniqueness results of the model. The key research issues are highlighted, and the results and interpretations are summarized. We investigate the effects of changing some of the system's control parameters through numerical simulations. We resolve the Von Bertalanffy ordinary differential equation of fractional order. The analytical solution is obtained.","PeriodicalId":11600,"journal":{"name":"E-Jurnal Matematika","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46165163","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}
This study aims to determine the development and feasibility of e-module gamification mathematics based on problem based learning to increase motivation to learn mathematics. This research uses the type of research and development (R&D). The model used is the ADDIE model. The stages of the ADDIE model are analysis, design, development, implementation, and evaluation. This research was conducted on 37 students at SMP Negeri 1 Sawangan. The results showed that e-module gamification mathematics based on problem based learning was very valid based on the average score of 4.5 for media experts and 4.3 for material experts. E-module gamification mathematics based on problem based learning meets the practicality criteria in a limited trial of 76.5% with good criteria and 82% in a broad trial with very good criteria. Meet the effectiveness criteria with an increase in the average learning motivation questionnaire before and after learning by 8.5% and student learning outcomes have increased as seen from the percentage of completeness pretest by 22.5% in the incomplete category and the percentage of completeness in the posttest by 77.4% in the complete category. e-module gamification mathematics based on problem based learning feasible to use if the criteria for validity, practicality, and effectiveness are met. In addition, students' learning motivation has increased after the use of e-module.
{"title":"PENGEMBANGAN E-MODULE MATEMATIKA GAMIFIKASI BERBASIS PROBLEM BASED LEARNING UNTUK MENINGKATKAN MOTIVASI BELAJAR","authors":"Indah Dwi Setyaningrum, Bambang Priyo Daminto, Wharyanti Ika Purwaningsih","doi":"10.24843/mtk.2023.v12.i03.p420","DOIUrl":"https://doi.org/10.24843/mtk.2023.v12.i03.p420","url":null,"abstract":"This study aims to determine the development and feasibility of e-module gamification mathematics based on problem based learning to increase motivation to learn mathematics. This research uses the type of research and development (R&D). The model used is the ADDIE model. The stages of the ADDIE model are analysis, design, development, implementation, and evaluation. This research was conducted on 37 students at SMP Negeri 1 Sawangan. The results showed that e-module gamification mathematics based on problem based learning was very valid based on the average score of 4.5 for media experts and 4.3 for material experts. E-module gamification mathematics based on problem based learning meets the practicality criteria in a limited trial of 76.5% with good criteria and 82% in a broad trial with very good criteria. Meet the effectiveness criteria with an increase in the average learning motivation questionnaire before and after learning by 8.5% and student learning outcomes have increased as seen from the percentage of completeness pretest by 22.5% in the incomplete category and the percentage of completeness in the posttest by 77.4% in the complete category. e-module gamification mathematics based on problem based learning feasible to use if the criteria for validity, practicality, and effectiveness are met. In addition, students' learning motivation has increased after the use of e-module.","PeriodicalId":11600,"journal":{"name":"E-Jurnal Matematika","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47857715","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}
Pub Date : 2023-08-23DOI: 10.24843/mtk.2023.v12.i03.p421
Nur Aulia, Wayan Sumarjaya, Gusti Ayu, Made Srinadi
The aim of this study was to identify the model and outcomes of the rainfall forecast at I Gusti Ngurah Rai International Airport using a transfer function model. The outcomes of the rainfall forecast at I Gusti Ngurah Rai International Airport are displayed using regression analysis based on the influence of the input variable humidity. Numerous characteristics of ARIMA models are included in a forecasting model known as the transfer function model. the best model in predicting rainfall data is and the level of accuracy of the rainfall forecast results obtained by MAPE value of 26.83%. This shows that the prediction of rainfall in this study is feasible.
本研究的目的是使用传递函数模型确定I Gusti Ngurah Rai国际机场的降雨预测模型和结果。根据输入变量湿度的影响，使用回归分析显示了I Gusti Ngurah Rai国际机场的降雨预测结果。ARIMA模型的许多特性包含在称为传递函数模型的预测模型中。预测降雨量数据的最佳模型是，并且由MAPE值获得的降雨量预测结果的准确度水平为26.83%。这表明本研究的降雨量预测是可行的。
{"title":"PERAMALAN CURAH HUJAN DI BANDARA INTERNASIONAL I GUSTI NGURAH RAI MENGGUNAKAN METODE FUNGSI TRANSFER","authors":"Nur Aulia, Wayan Sumarjaya, Gusti Ayu, Made Srinadi","doi":"10.24843/mtk.2023.v12.i03.p421","DOIUrl":"https://doi.org/10.24843/mtk.2023.v12.i03.p421","url":null,"abstract":"The aim of this study was to identify the model and outcomes of the rainfall forecast at I Gusti Ngurah Rai International Airport using a transfer function model. The outcomes of the rainfall forecast at I Gusti Ngurah Rai International Airport are displayed using regression analysis based on the influence of the input variable humidity. Numerous characteristics of ARIMA models are included in a forecasting model known as the transfer function model. the best model in predicting rainfall data is and the level of accuracy of the rainfall forecast results obtained by MAPE value of 26.83%. This shows that the prediction of rainfall in this study is feasible.","PeriodicalId":11600,"journal":{"name":"E-Jurnal Matematika","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47583904","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}
Pub Date : 2023-08-23DOI: 10.24843/mtk.2023.v12.i03.p416
Mareta Sekar Larasati, Luh Putu, Ida Harini, Wayan Sumarjaya
Ladder Graph is one type of connected and simple graph that has its own uniqueness. The aim of this research is to find the k-deficiency of points in the spanning tree in the ladder graph. Calculation of k-deficiency is carried out for each additional step, starting from the second ladder ( L2), up to the nth Ladder (Ln). Calculations are based on a representative spanning tree on each ladder. In the end, we get a number pattern from the second ladder onwards which is then proven by mathematical induction, for the calculation of each step up the ladder. In this study, the pattern of k-deficiency points on the ladder graph was obtained.
{"title":"GRAPH TANGGA DAN SIFAT-SIFATNYA","authors":"Mareta Sekar Larasati, Luh Putu, Ida Harini, Wayan Sumarjaya","doi":"10.24843/mtk.2023.v12.i03.p416","DOIUrl":"https://doi.org/10.24843/mtk.2023.v12.i03.p416","url":null,"abstract":"Ladder Graph is one type of connected and simple graph that has its own uniqueness. The aim of this research is to find the k-deficiency of points in the spanning tree in the ladder graph. Calculation of k-deficiency is carried out for each additional step, starting from the second ladder ( L2), up to the nth Ladder (Ln). Calculations are based on a representative spanning tree on each ladder. In the end, we get a number pattern from the second ladder onwards which is then proven by mathematical induction, for the calculation of each step up the ladder. In this study, the pattern of k-deficiency points on the ladder graph was obtained.","PeriodicalId":11600,"journal":{"name":"E-Jurnal Matematika","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46744358","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}
Pub Date : 2023-08-23DOI: 10.24843/mtk.2023.v12.i03.p422
Rosalina Damayanti, Ni Ketut Tari Tastrawati, Kartika Sari
Competition in the industrial world is getting tougher, requiring companies to have the right strategy and planning in every production activity. CV. Puspa is a company engaged in rice production. CV. Puspa uses the First Come First Serve (FCFS) method in scheduling every job that comes. This research aims to minimize the total production time using the Nawaz Enscore Ham (NEH) and Heuristic Pour methods at CV. Puspa. The data used is quantitative data, namely data on the processing time for rice production during January 2021. Based on the results of a comparison of the total completion time with the efficiency index parameter, the NEH method shows better performance compared to the FCFS and Heuristic Pour methods as on January 19, 2021. Meanwhile, based on the results of hypothesis testing with the F test, it shows that the FCFS, NEH and Heuristic methods Pour has the same efficiency. Thus, in general the results of scheduling for January 2021 using the NEH method do not have significant an influence on the production scheduling used by CV. Puspa.
工业世界的竞争越来越激烈，要求公司在每一个生产活动中都有正确的战略和计划。简历。Puspa是一家从事大米生产的公司。简历。Puspa使用先到先服务(FCFS)方法来调度每个来的作业。本研究旨在利用Nawaz Enscore Ham (NEH)和启发式倾注方法在CV上最大限度地减少总生产时间。Puspa。所使用的数据是定量数据，即2021年1月期间大米生产加工时间的数据。根据总完井时间与效率指标参数的比较结果，截至2021年1月19日，NEH方法比FCFS和Heuristic Pour方法表现出更好的性能。同时，基于F检验的假设检验结果表明，FCFS、NEH和启发式方法具有相同的效率。因此，总体而言，使用NEH方法调度2021年1月的结果对CV使用的生产调度没有显着影响。Puspa。
{"title":"ANALISIS PENJADWALAN PRODUKSI MENGGUNAKAN METODE NAWAZ ENSCORE HAM (NEH) DAN HEURISTIC POUR DALAM MEMINIMUMKAN TOTAL WAKTU PRODUKSI","authors":"Rosalina Damayanti, Ni Ketut Tari Tastrawati, Kartika Sari","doi":"10.24843/mtk.2023.v12.i03.p422","DOIUrl":"https://doi.org/10.24843/mtk.2023.v12.i03.p422","url":null,"abstract":"Competition in the industrial world is getting tougher, requiring companies to have the right strategy and planning in every production activity. CV. Puspa is a company engaged in rice production. CV. Puspa uses the First Come First Serve (FCFS) method in scheduling every job that comes. This research aims to minimize the total production time using the Nawaz Enscore Ham (NEH) and Heuristic Pour methods at CV. Puspa. The data used is quantitative data, namely data on the processing time for rice production during January 2021. Based on the results of a comparison of the total completion time with the efficiency index parameter, the NEH method shows better performance compared to the FCFS and Heuristic Pour methods as on January 19, 2021. Meanwhile, based on the results of hypothesis testing with the F test, it shows that the FCFS, NEH and Heuristic methods Pour has the same efficiency. Thus, in general the results of scheduling for January 2021 using the NEH method do not have significant an influence on the production scheduling used by CV. Puspa.","PeriodicalId":11600,"journal":{"name":"E-Jurnal Matematika","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48786797","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}
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