Pub Date : 2022-09-30DOI: 10.15575/kubik.v7i1.18419
F. Abdullah, Elvi Syukrina Erianto
Linear wave theory is a simple theory that researchers and engineers often use to study a wave in deep, intermediate, and shallow water regions. Many researchers mostly used it over the horizontal flat seabed, but in actual conditions, sloping seabed always exists, although mild. In this research, we try to model a wave over a mild sloping seabed by linear wave theory and analyze the influence of the seabed’s slope on the solution of the model. The model is constructed from Laplace and Bernoulli equations together with kinematic and dynamic boundary conditions. We used the result of the analytical solution to find the relation between propagation speed, wavelength, and bed slope through the dispersion relation. Because of the difference in fluid dispersive character for each water region, we also determined dispersion relation approximation by modifying the hyperbolic tangent form into hyperbolic sine-cosine and exponential form, then approximated it with Padé approximant. As the final result, exponential form modification with Padé approximant had the best agreement to exact dispersion relation equation then direct hyperbolic tangent form.
{"title":"Modeling a Wave on Mild Sloping Bottom Topography and Its Dispersion Relation Approximation","authors":"F. Abdullah, Elvi Syukrina Erianto","doi":"10.15575/kubik.v7i1.18419","DOIUrl":"https://doi.org/10.15575/kubik.v7i1.18419","url":null,"abstract":"Linear wave theory is a simple theory that researchers and engineers often use to study a wave in deep, intermediate, and shallow water regions. Many researchers mostly used it over the horizontal flat seabed, but in actual conditions, sloping seabed always exists, although mild. In this research, we try to model a wave over a mild sloping seabed by linear wave theory and analyze the influence of the seabed’s slope on the solution of the model. The model is constructed from Laplace and Bernoulli equations together with kinematic and dynamic boundary conditions. We used the result of the analytical solution to find the relation between propagation speed, wavelength, and bed slope through the dispersion relation. Because of the difference in fluid dispersive character for each water region, we also determined dispersion relation approximation by modifying the hyperbolic tangent form into hyperbolic sine-cosine and exponential form, then approximated it with Padé approximant. As the final result, exponential form modification with Padé approximant had the best agreement to exact dispersion relation equation then direct hyperbolic tangent form.","PeriodicalId":300313,"journal":{"name":"Kubik: Jurnal Publikasi Ilmiah Matematika","volume":"112 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124298948","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 : 2022-09-30DOI: 10.15575/kubik.v7i1.18432
Fevi Hanesti, Wardi Syafmen, Syamsyida Rozi
This study discussed fuzzy multi-objective linear programming (FMOLP) and its application. This research was conducted in Rumah Batik Mentari Jambi, which produces five batik motifs typical of the Jambi. In this research, the tolerance for additional raw material capacity is included in the model. This research aims to find out the number of tolerances needed, the maximum number of batik needed to be produced, and the minimum production time so that the producer can earn the maximum profit. The decision variables in FMOLP are the number of pieces of batik measuring in 2m2, which means the decision variables must be an integer. Therefore, after obtaining the optimal solution from FMOLP, then proceed with the branch and bound method to obtain the integer solution. The result of this research is that the addition of raw materials needed to earn optimal solutions is as much as 50% of the tolerance assumed in the model. Thus, owner can earn the optimal profit of Rp. 5,675,800.00/week by producing as many as 67 pieces of batik with the design of angso duo, 18 pieces with the design of gentala, and 50 pieces with the design of batang hari, and the minimum production time is 270 hours/week.
研究了模糊多目标线性规划及其应用。这项研究是在Rumah Batik Mentari Jambi进行的，它生产了五种典型的Jambi蜡染图案。在本研究中，模型中包含了对额外原材料容量的容差。本研究旨在找出所需的公差数量，生产蜡染所需的最大数量，以及最短的生产时间，从而使生产商获得最大的利润。FMOLP中的决策变量为2m2的蜡染片数，即决策变量必须为整数。因此，在从FMOLP中得到最优解后，再用分支定界法得到整数解。本研究的结果是，获得最优解决方案所需的原材料的添加量高达模型中假设公差的50%。因此，业主可以通过生产最多67件angso duo设计的蜡染，18件gentala设计的蜡染，50件batang hari设计的蜡染，获得最优利润Rp. 5,675,800.00/周，最小生产时间为270小时/周。
{"title":"The Optimization Problem of Batik Cloth Production with Fuzzy Multi-Objective Linear Programming and Application of Branch and Bound Method","authors":"Fevi Hanesti, Wardi Syafmen, Syamsyida Rozi","doi":"10.15575/kubik.v7i1.18432","DOIUrl":"https://doi.org/10.15575/kubik.v7i1.18432","url":null,"abstract":"This study discussed fuzzy multi-objective linear programming (FMOLP) and its application. This research was conducted in Rumah Batik Mentari Jambi, which produces five batik motifs typical of the Jambi. In this research, the tolerance for additional raw material capacity is included in the model. This research aims to find out the number of tolerances needed, the maximum number of batik needed to be produced, and the minimum production time so that the producer can earn the maximum profit. The decision variables in FMOLP are the number of pieces of batik measuring in 2m2, which means the decision variables must be an integer. Therefore, after obtaining the optimal solution from FMOLP, then proceed with the branch and bound method to obtain the integer solution. The result of this research is that the addition of raw materials needed to earn optimal solutions is as much as 50% of the tolerance assumed in the model. Thus, owner can earn the optimal profit of Rp. 5,675,800.00/week by producing as many as 67 pieces of batik with the design of angso duo, 18 pieces with the design of gentala, and 50 pieces with the design of batang hari, and the minimum production time is 270 hours/week.","PeriodicalId":300313,"journal":{"name":"Kubik: Jurnal Publikasi Ilmiah Matematika","volume":"48 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115854160","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 : 2022-04-25DOI: 10.15575/kubik.v6i2.14938
Della Isna Amatillah, Fadilah Ilahi, Mia Siti Khumaeroh
Tuberculosis is an infectious disease caused by the bacterium Mycobacterium tuberculosis which attacks the lungs. Tuberculosis or TB is one of the diseases with the highest mortality rate in the world. In this article, we will examine the sensitivity and global stability analysis of the tuberculosis control model with vaccination, latency and infection treatment. In this model, the population is divided into 5 compartments, namely the immunized population (M), susceptible population (S), infected population with latent TB (L), infected population with active TB (I) and the recovered population (R). The equilibrium point, local and global stability, basic reproduction number R0 is analyzed along with sensitivity analysis to see the effect of parameter values on the basic reproduction number R0. From the analysis and simulation result, it is found that there are two parameters that have the most influence on the spread of tuberculosis, namely the recovery rate of latent TB and the infection rate of active TB. If the recovery rate of latent TB is higher than the infection rate of active TB infection, then the disease will gradually disappear from the population, whereas if the recovery rate of latent TB is lower than the infection rate of active TB, the disease will spread within the population.
{"title":"Analisis Sensitivitas dan Kestabilan Global Model Pengendalian Tuberkulosis dengan Vaksinasi, Latensi dan Perawatan Infeksi","authors":"Della Isna Amatillah, Fadilah Ilahi, Mia Siti Khumaeroh","doi":"10.15575/kubik.v6i2.14938","DOIUrl":"https://doi.org/10.15575/kubik.v6i2.14938","url":null,"abstract":"Tuberculosis is an infectious disease caused by the bacterium Mycobacterium tuberculosis which attacks the lungs. Tuberculosis or TB is one of the diseases with the highest mortality rate in the world. In this article, we will examine the sensitivity and global stability analysis of the tuberculosis control model with vaccination, latency and infection treatment. In this model, the population is divided into 5 compartments, namely the immunized population (M), susceptible population (S), infected population with latent TB (L), infected population with active TB (I) and the recovered population (R). The equilibrium point, local and global stability, basic reproduction number R0 is analyzed along with sensitivity analysis to see the effect of parameter values on the basic reproduction number R0. From the analysis and simulation result, it is found that there are two parameters that have the most influence on the spread of tuberculosis, namely the recovery rate of latent TB and the infection rate of active TB. If the recovery rate of latent TB is higher than the infection rate of active TB infection, then the disease will gradually disappear from the population, whereas if the recovery rate of latent TB is lower than the infection rate of active TB, the disease will spread within the population.","PeriodicalId":300313,"journal":{"name":"Kubik: Jurnal Publikasi Ilmiah Matematika","volume":"108 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127970120","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 : 2022-04-25DOI: 10.15575/kubik.v6i2.13835
S. Purnama, Aninditha Putri Kusumawardhani
logistik. logistik, parameter logistik Abstract Savings and Loan Cooperatives (KSP) are financial institutions that have an important role in economic and trade activities, useful for channeling funds in the form of loans to members who need them for business or business. In this paper, we examine the detection of potential debtors' default opportunities using the Particle Swarm Optimization (PSO) algorithm in a logistic regression model. In the analysis method, there are several steps: (1) standardizing the data on the risk factor data of prospective debtors, (2) determining the assumptions of the logistic regression model, (3) estimating the parameters of the logistic regression model using the Particle Swarm Optimization (PSO) algorithm, and (4 ) to test the significance of each variable. The probability of default is determined using the eligibility parameters of the prospective debtor based on past data variables owned by KSP "ABC" in Bandung, Indonesia. The results show that of the eight factors analyzed, there are six factors that have a significant influence on the risk of default, namely the age of the debtor, the number of family dependents, the amount of savings, the amount of collateral, the amount of credit, the credit period with an accuracy of 99.1%. Based on these six factors, a logistic regression model estimator is obtained that can be used to determine the probability of default from prospective debtors. This probability of default is very useful for KSP "ABC" to make a decision on whether or not to give credit, so that the performance of problem loan risk management can be guaranteed.
{"title":"Deteksi Peluang Gagal Bayar Calon Debitur Menggunakan Algoritma Particle Swarm Optimization (PSO) untuk Meningkatkan Kinerja Manajemen Risiko pada Koperasi Simpan Pinjam ABC","authors":"S. Purnama, Aninditha Putri Kusumawardhani","doi":"10.15575/kubik.v6i2.13835","DOIUrl":"https://doi.org/10.15575/kubik.v6i2.13835","url":null,"abstract":"logistik. logistik, parameter logistik Abstract Savings and Loan Cooperatives (KSP) are financial institutions that have an important role in economic and trade activities, useful for channeling funds in the form of loans to members who need them for business or business. In this paper, we examine the detection of potential debtors' default opportunities using the Particle Swarm Optimization (PSO) algorithm in a logistic regression model. In the analysis method, there are several steps: (1) standardizing the data on the risk factor data of prospective debtors, (2) determining the assumptions of the logistic regression model, (3) estimating the parameters of the logistic regression model using the Particle Swarm Optimization (PSO) algorithm, and (4 ) to test the significance of each variable. The probability of default is determined using the eligibility parameters of the prospective debtor based on past data variables owned by KSP \"ABC\" in Bandung, Indonesia. The results show that of the eight factors analyzed, there are six factors that have a significant influence on the risk of default, namely the age of the debtor, the number of family dependents, the amount of savings, the amount of collateral, the amount of credit, the credit period with an accuracy of 99.1%. Based on these six factors, a logistic regression model estimator is obtained that can be used to determine the probability of default from prospective debtors. This probability of default is very useful for KSP \"ABC\" to make a decision on whether or not to give credit, so that the performance of problem loan risk management can be guaranteed.","PeriodicalId":300313,"journal":{"name":"Kubik: Jurnal Publikasi Ilmiah Matematika","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114542731","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 : 2022-04-25DOI: 10.15575/kubik.v6i2.10908
Elfira - Safitri, Sri Basriati, Syafrika Yuliarti, M. Soleh, Ade Novia Rahma
Upik Home Industry is one of the businesses engaged in the chips industry. Problems in Upik Home Industry that are often faced in decision making are problems that contain several goals in it. To overcome these problems, the Goal Programming approach is used. Goal Programming is an extension of linear programming which is used to solve linear equations with more than one objective function. The purpose of this study was to determine the completion of Goal Programming using the revised simplex method in maximizing profits at Upik Home Industry Padang Panjang, West Sumatra. The method used in this study is the revised simplex method. The revised simplex method uses an inverse basis to perform calculations in determining the incoming and outgoing variables. Based on the results of research, the goal is to minimize working times, minimize raw materials for cassava, oil, salt and maximize sales quotas for sanjai balado and is not achieved. And goals for maximizing profit, goals for minimizing raw material for garlic and minimizing the sales quota for sanjai original, sanjai kunyit dan tusuk gigi is achieved. So that the total production for original sanjai ( 𝑥 1 ) as much 30,67 kg, sanjai kunyit ( 𝑥 4 ) as much 18 kg and tusuk gigi ( 𝑥 5 ) as much 18 kg.
Upik Home Industry是一家从事芯片行业的企业。Upik家居行业在决策中经常面临的问题是包含多个目标的问题。为了克服这些问题，使用了目标规划方法。目标规划是线性规划的一种扩展，用于求解具有多个目标函数的线性方程。本研究的目的是确定目标规划的完成使用修正单纯形法最大化利润在Upik家业Padang Panjang，西苏门答腊。本研究采用的方法是修正单纯形法。修正单纯形法使用逆基来执行计算，以确定输入和输出变量。根据研究结果，目标是最小化工作时间，最小化木薯，油，盐的原材料，最大化sanjai balado的销售配额，并没有实现。实现了利润最大化的目标，蒜原料最小化的目标以及三井原味，三井kunyit dan tusuk gigi的销售配额最小化的目标。因此，原三家乐(1)的总产量为30,67 kg，三家乐(4)的总产量为18kg，三家乐(5)的总产量为18kg。
{"title":"Penyelesaian Goal Programming menggunakan Metode Simpleks Direvisi dalam Memaksimalkan Keuntungan pada Home Industri Upik Padang Panjang, Sumatera Barat","authors":"Elfira - Safitri, Sri Basriati, Syafrika Yuliarti, M. Soleh, Ade Novia Rahma","doi":"10.15575/kubik.v6i2.10908","DOIUrl":"https://doi.org/10.15575/kubik.v6i2.10908","url":null,"abstract":"Upik Home Industry is one of the businesses engaged in the chips industry. Problems in Upik Home Industry that are often faced in decision making are problems that contain several goals in it. To overcome these problems, the Goal Programming approach is used. Goal Programming is an extension of linear programming which is used to solve linear equations with more than one objective function. The purpose of this study was to determine the completion of Goal Programming using the revised simplex method in maximizing profits at Upik Home Industry Padang Panjang, West Sumatra. The method used in this study is the revised simplex method. The revised simplex method uses an inverse basis to perform calculations in determining the incoming and outgoing variables. Based on the results of research, the goal is to minimize working times, minimize raw materials for cassava, oil, salt and maximize sales quotas for sanjai balado and is not achieved. And goals for maximizing profit, goals for minimizing raw material for garlic and minimizing the sales quota for sanjai original, sanjai kunyit dan tusuk gigi is achieved. So that the total production for original sanjai ( 𝑥 1 ) as much 30,67 kg, sanjai kunyit ( 𝑥 4 ) as much 18 kg and tusuk gigi ( 𝑥 5 ) as much 18 kg.","PeriodicalId":300313,"journal":{"name":"Kubik: Jurnal Publikasi Ilmiah Matematika","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115717243","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":"Peramalan Jumlah Wisatawan Mancanegara Yang Datang Ke Sumatera Utara Dengan Fuzzy Time Series","authors":"Didi Febrian, Dinda Kartika, Debora Agnes Jessica Nainggolan","doi":"10.15575/kubik.v6i1.10604","DOIUrl":"https://doi.org/10.15575/kubik.v6i1.10604","url":null,"abstract":"","PeriodicalId":300313,"journal":{"name":"Kubik: Jurnal Publikasi Ilmiah Matematika","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125909062","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 : 2021-08-31DOI: 10.15575/kubik.v6i1.9189
Suryadi Harto Pratama, I. Suryani, W. Wartono
Paper ini membahas model matematika tentang kestabilan titik ekuilibrium endemik terhadap Human Papillomavirus (HPV) pada model SIS dengan populasi berbeda. Model SIS Terdiri dari dua kompartemen, yaitu kompartemen rentan (Susceptible) dan kompartemen yang terinfeksi (Infected) dengan populasi yaitu subpopulasi perempuan dan subpopulasi laki-laki . Titik ekuilibrium endemik pada model SIS ini dapat dilakukan dengan melakukan substitusi atau manipulasi aljabar terhadap asumsi-asumsi pada model SIS Human Papillomavirus (HPV). Selanjutnya, kestabilan endemik dinyatakan stabil asimtotik dapat di uji menggunakan matriks Jacobian dengan syarat terpenuhi. Kemudian, model SIS Human Papillomavirus (HPV) dianalisis dengan simulasi numerik dengan hasil kestabilan titik ekuilibrium endemik itu stabil asimtotik jika . Dan ini menjelaskan bahwa subpopulasi terinfeksi akan memungkinkan menginfeksi atau menularkan virus kepada subpopulasi rentan. Artinya virus masih ada dalam populasi.
{"title":"Kestabilan Titik Ekuilibrium Endemik Pada Model SIS Transmisi Human Papillomavirus (HPV) Dengan Populasi Berbeda","authors":"Suryadi Harto Pratama, I. Suryani, W. Wartono","doi":"10.15575/kubik.v6i1.9189","DOIUrl":"https://doi.org/10.15575/kubik.v6i1.9189","url":null,"abstract":"Paper ini membahas model matematika tentang kestabilan titik ekuilibrium endemik terhadap Human Papillomavirus (HPV) pada model SIS dengan populasi berbeda. Model SIS Terdiri dari dua kompartemen, yaitu kompartemen rentan (Susceptible) dan kompartemen yang terinfeksi (Infected) dengan populasi yaitu subpopulasi perempuan dan subpopulasi laki-laki . Titik ekuilibrium endemik pada model SIS ini dapat dilakukan dengan melakukan substitusi atau manipulasi aljabar terhadap asumsi-asumsi pada model SIS Human Papillomavirus (HPV). Selanjutnya, kestabilan endemik dinyatakan stabil asimtotik dapat di uji menggunakan matriks Jacobian dengan syarat terpenuhi. Kemudian, model SIS Human Papillomavirus (HPV) dianalisis dengan simulasi numerik dengan hasil kestabilan titik ekuilibrium endemik itu stabil asimtotik jika . Dan ini menjelaskan bahwa subpopulasi terinfeksi akan memungkinkan menginfeksi atau menularkan virus kepada subpopulasi rentan. Artinya virus masih ada dalam populasi.","PeriodicalId":300313,"journal":{"name":"Kubik: Jurnal Publikasi Ilmiah Matematika","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125223407","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 : 2021-08-31DOI: 10.15575/kubik.v6i1.12525
Reza Umami Khoirunisa', T. D. Chandra
Napza merupakan singkatan dari narkotika, psikotropika, dan zat adiktif lainnya. Napza diciptakan untuk kebutuhan medis dan pengobatan serta memiliki efek yang sangat, sehingga peredarannya diatur oleh pemerintah. Jika napza disalahgunakan akan berakibat buruk terhadap kesehatan karena ketergantungan. Untuk mengatasi masalah tersebut, pemerintah melaksanakan program rehabilitasi sebagai upaya pencegahan peningkatan jumlah napza. Tujuan dari penelitian ini adalah untuk menganalisis model kestabilan matematika pada penyebaran napza dengan memperhatikan tipe rehabilitasi dan mensimulasikan model berdasarkan data yang diperoleh dari buku Press Release Akhir Tahun 2020 Badan Narkotika Nasional. Model matematika tersebut membagi populasi atas lima kelompok individu. Dari hasil analisa, didapatkan dua titik kesetimbangan yaitu titik kesetimbangan bebas napza dan endemik. Jika nilai Maka titik kesetimbangan bebas napza dikatakan stabil asimtotik lokal, dan jika nilai nilai maka titik ekuilibrium endemik dikatakan stabil asimtotik lokal. Kasus pencarian napza di Indonesia tahun 2020, diperoleh bilangan dasar mengartikan catatan napza tidak lagi menjadi endemik dalam waktu tertentu.
{"title":"Analisis Kestabilan Model Matematika Pada Penyebaran Penyalahgunaan Napza Dengan Memperhatikan Tipe Rehabilitasi","authors":"Reza Umami Khoirunisa', T. D. Chandra","doi":"10.15575/kubik.v6i1.12525","DOIUrl":"https://doi.org/10.15575/kubik.v6i1.12525","url":null,"abstract":"Napza merupakan singkatan dari narkotika, psikotropika, dan zat adiktif lainnya. Napza diciptakan untuk kebutuhan medis dan pengobatan serta memiliki efek yang sangat, sehingga peredarannya diatur oleh pemerintah. Jika napza disalahgunakan akan berakibat buruk terhadap kesehatan karena ketergantungan. Untuk mengatasi masalah tersebut, pemerintah melaksanakan program rehabilitasi sebagai upaya pencegahan peningkatan jumlah napza. Tujuan dari penelitian ini adalah untuk menganalisis model kestabilan matematika pada penyebaran napza dengan memperhatikan tipe rehabilitasi dan mensimulasikan model berdasarkan data yang diperoleh dari buku Press Release Akhir Tahun 2020 Badan Narkotika Nasional. Model matematika tersebut membagi populasi atas lima kelompok individu. Dari hasil analisa, didapatkan dua titik kesetimbangan yaitu titik kesetimbangan bebas napza dan endemik. Jika nilai Maka titik kesetimbangan bebas napza dikatakan stabil asimtotik lokal, dan jika nilai nilai maka titik ekuilibrium endemik dikatakan stabil asimtotik lokal. Kasus pencarian napza di Indonesia tahun 2020, diperoleh bilangan dasar mengartikan catatan napza tidak lagi menjadi endemik dalam waktu tertentu.","PeriodicalId":300313,"journal":{"name":"Kubik: Jurnal Publikasi Ilmiah Matematika","volume":"622 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123254461","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 : 2021-08-31DOI: 10.15575/kubik.v6i1.8046
Budi Nurani Ruchjana, Atika Tresna Arianto, K. Parmikanti, Bambang Suhandi
Particulate Matter 2.5 yang selanjutnya disingkat PM 2.5 merupakan partikel udara yang memiliki ukuran . Paparan PM 2.5 dapat mempengaruhi fungsi paru-paru dan memperburuk kondisi kesehatan seperti asma, bronkitis hingga kanker paru-paru. PM 2.5 berasal dari berbagai sumber seperti hasil pembakaran bahan bakar kendaraan bermotor, hingga kebakaran hutan. Untuk meramalkan Konsentrasi PM 2.5 dapat digunakan model time series univariat, salah satunya model Autoregressive yang selanjutnya disingkat AR. Data Konsentrasi PM 2.5 memiliki pola stasioner, sehingga dapat dibangun model AR. Konsentrasi PM 2.5 di suatu wilayah dipengaruhi oleh Konsentrasi PM 2.5 wilayah di sekitarnya pada waktu-waktu sebelumnya, sehingga dapat dibentuk model Vector Autoregressive yang selanjutnya disingkat VAR. Metode yang digunakan untuk menaksir model VAR dalam penelitian ini adalah metode Maximum Likelihood Estimation yang selanjutnya disingkat MLE dengan bantuan software R dan Microsoft Excel . Model VAR diterapkan untuk peramalan jangka pendek Konsentrasi PM 2.5 di Kab. Cirebon, Kab. Kuningan, dan Kab. Majalengka. Hasil penelitian menunjukkan bahwa konsentrasi PM 2.5 di ketiga kabupaten memiliki korelasi yang cukup tinggi dan satu sama lain saling mempengaruhi, sehingga penggunaan model VAR dapat memberikan rekomendasi untuk peramalan konsentrasi PM 2.5 pada waktu mendatang dengan memperhitungkan pengaruh konsentrasi PM 2.5 dari lokasi-lokasi terdekat di sekitar lokasi tertentu.
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Pub Date : 2021-08-31DOI: 10.15575/kubik.v6i1.12259
Elfira - Safitri, Sri Basriati, M. Soleh, Ade Novia Rahma
{"title":"Penyelesaian Metode Quick Simplex Terhadap Metode Dua Fase dengan Dua Elemen secara Simultan pada Kasus Minimum","authors":"Elfira - Safitri, Sri Basriati, M. Soleh, Ade Novia Rahma","doi":"10.15575/kubik.v6i1.12259","DOIUrl":"https://doi.org/10.15575/kubik.v6i1.12259","url":null,"abstract":"","PeriodicalId":300313,"journal":{"name":"Kubik: Jurnal Publikasi Ilmiah Matematika","volume":"76 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122300547","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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