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Spline Truncated Multivariabel pada Permodelan Nilai Ujian Nasional di Kabupaten Lombok Barat Nurul Fitriyani; Lailia Awalushaumi; Agus Kurnia
Jurnal Matematika Vol 7 No 2 (2017)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2017.v07.i02.p90

Abstract

Regression model is used to analyze the relationship between dependent variable and independent variable. If the regression curve form is not known, then the regression curve estimation can be done by nonparametric regression approach. This study aimed to investigate the relationship between the value resulted by National Examination and the factors that influence it. The statistical analysis used was multivariable truncated spline, in order to analyze the relationship between variables. The research that has been done showed that the best model obtained by using three knot points. This model produced a minimum GCV value of 44.46 and the value of determination coefficient of 58.627%. The parameter test showed that all factors used were significantly influence the National Examination Score for Senior High School students in West Lombok Regency year 2017. The variables were as follows: National Examination Score of Junior High School; School or Madrasah Examination Score; the value of Student’s Report Card; Student’s House Distance to School; and Number of Student’s Siblings.
Pengoptiman Pendapatan Lahan Parkir Kendaraan Bandar Udara Internasional Lombok Menggunakan Metode Branch & Bound Siti Rahmatullah; Mamika Ujianita Romdhini; Marwan Marwan; Lailia Awalushaumi
Beta: Jurnal Tadris Matematika Vol. 5 No. 2 (2012): Beta Nopember
Publisher : Universitas Islam Negeri (UIN) Mataram

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Abstract

In this research, integer linear programming of vehicle’s setting in Lombok International Airport is solved by Branch and Bound Method. Branch and Bound is the method that can deliver integer solution of the linear programming. The optimum result is parking area’s income of Lombok International Airport can be achieved until Rp1.218.690.000/month with lade of 384 unit’s of motorcycle, 990 units of class I of the car, and 21 units of the bus or truck with the length < 9 m. If we make a comparison between the maximum income with the number of tax in number Rp90.074.550, then the number of the tax is only 7,31% of the maximum income. So that, in the other words we can say that the number of tax which accepted by Central Lombok’s Government is not representative with parking area’s income which can be acquired.
Model Dinamika Penyebaran Penyakit Campak dengan Pengaruh Vaksinasi dan Penerapannya di Provinsi Nusa Tenggara Barat Mutmainnah Mutmainnah; Lailia Awalushaumi; Qurratul Aini
Eigen Mathematics Journal Vol. 2 No. 1 Juni 2019
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (498.901 KB) | DOI: 10.29303/emj.v1i1.34

Abstract

Campak adalah suatu penyakit akut yang sangat menular yang disebabkan oleh Measles virus. Penyakit ini ditularkan melalui droplet ataupun kontak dengan penderita. Selain menimbulkan berbagai macam komplikasi, penyakit ini juga dapat menyebabkan kematian. Dalam tulisan ini akan dirumuskan model dinamika penyebaran penyakit campak dengan pengaruh vaksinasi, yang digunakan untuk melihat pengaruh vaksinasi terhadap penyebaran penyakit campak di Provinsi NTB. Model dinamika penyebaran penyakit oleh pengaruh vaksinasi campak, diperoleh sebagai berikut :dS/dt=(1-θ)Π-αSI/N-μS ; dI/dt=αSI/N-μI-μ I-βI ; dV/dt=θΠ+βI-μVBerdasarkan simulasi dari model di atas, diperoleh kesimpulan bahwa semakin besar cakupan vaksinasi yang dilakukan di Provinsi NTB maka semakin sedikit individu yang rentan saat keadaan stabil dan semakin cepat menghilangnya penyakit campak
Pengenalan Teori Permainan dan Statistika Dasar ke Siswa SMAN 1 Selong dengan Pendekatan MSJ Ayes Malona Siboro; Bulqis Nebulla Syechah; Dina Eka Putri; Fariz Maulana; I Gede Adhitya Wisnu Wardhana; Irwansyah Irwansyah; Lailia Awalushaumi; Lalu Hasan Ghoffari; Lalu Riski Wirendra Putra; Muhammad Naoval Husni; Nur Asmita Purnamasari; Nuzla Af'idatur Robbaniyyah; Salwa Salwa; Qurratul Aini; Zata Yumni Awanis
Jurnal Pengabdian Inovasi Masyarakat Indonesia Vol. 2 No. 2 (2023): Edisi Agustus
Publisher : Program Studi Pendidikan Kimia FKIP Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/jpimi.v2i2.2893

Abstract

The community engagement activity carried out by the teaching team from the Mathematics Program of the Faculty of Mathematics and Natural Sciences at Universitas Mataram to SMAN 1 Selong has successfully introduced students to the importance of statistics and game theory in decision-making. Through stories and real-life cases, students are encouraged to consider factors such as averages and standard deviations in making informed decisions. They also learn about the story of John Nash, who discovered game theory, and compare it to the economic principles of Adam Smith. Students realize that collective interests can lead to better outcomes than personal interests. In the case of The Prisoner's Dilemma, students also see the importance of game theory in the context of collective decision-making. Overall, this activity helps students understand the importance of statistics and game theory in the decision-making process.
Modifikasi Algoritma Edmonds Karp untuk Menentukan Aliran Maksimum Pada Jaringan Distribusi Air PDAM (Studi Kasus Jaringan Telaga Sari PDAM Giri Menang Mataram) Husnul Hotimah; Syamsul Bahri; Lailia Awalushaumi
Eigen Mathematics Journal Vol 6 No 2 (2023): December
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v6i2.134

Abstract

Clean water is the main and basic need for humans which is of concern to the government. Distribution network system is a very important part to delivering water to all consumers. The lack of water discharge distribution in several areas, especially at the end of the pipeline service, is cause by not optimal water distribution, the flow rate of sorce and leak in pipeline effect. This research has to analyze the optimal network model and determine the maximum flow rate from the PDAM pipeline using modified Edmonds Karp algorithm. Modified Edmonds Karp algorithm is a method for calculating maximum flow of a network. Based on analysis of modified Edmonds Karp algorithm there is a less efficient us of pipe in PDAM network and result of maximum flow from the network is 202,30 liter/second. This means it can be adding flow discharge to the water distribution pipe by PDAM for expedite the flow to consumer with the addition of flow should not exceed 202,30 liter/second.
Solusi Numerik pada Persamaan Korteweg-De Vries Equation menggunakan Metode Beda Hingga Maulana Rifky Haizar; Miptahul Rizki; Nuzla Af'idatur Robbaniyyah; Bulqis Nebulla Syechah; Salwa Salwa; Lailia Awalushaumi
Eigen Mathematics Journal Vol 7 No 1 (2024): June
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v7i1.190

Abstract

The Korteweg-de Vries (KdV) equation is a nonlinear partial differential equation that has a key role in wave physics and many other disciplines. In this article, we develop numerical solutions of the KdV equation using the finite difference method with the Crank-Nicolson scheme. We explain the basic theory behind the KdV equation and the finite difference method, and outline the implementation of the Crank-Nicolson scheme in this context. We also give an overview of the space and time discretization and initial conditions used in the simulation. The results of these simulations are presented through graphical visualizations, which allow us to understand how the KdV solution evolves over time. Through analysis of the results, we explore the behavior of the solutions and perform comparisons with exact solutions in certain cases. Our conclusion summarizes our findings and discusses the advantages and limitations of the method used. We also provide suggestions for future research in this area.