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Menguji Kestabilan dan Kekonsistenan Metode Heun Pada Model Epidemi Susceptible, Exposed, Infected and Recovered Untuk Penyakit Demam Berdarah Dengue Novalia, Essa; Nasution, Hamidah
Jurnal Sains Indonesia Vol 42, No 2 (2018): Edisi Juli - Desember
Publisher : Universitas Negeri Medan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24114/jsi.v42i2.12249

Abstract

The Heun method is an improvement from the Euler method so that it has better accuracy, because in the Heun method, the solution of the Euler method is used as a predictor solution and then the initial estimation solution is corrected by the Heun method (corrector). In this study the method of Heun was used to complete the epidemic model of Susceptible, Exposed, Infected and Recovered (SEIR) of dengue fever while at the same time observing the stability and consistency of the Heun method. The observations of the Heun method are seen geometrically. From the results of the study it was found that the heun method was a stable and consistent method for finding solutions for almost the SEIR epidemic model. While from the data and completion of the approach obtained, the area of Medan Helvetia Subdistrict and Medan Sunggal District is an area that is endemic to dengue hemorrhagic fever. [TESTING THE STABILITY AND CONSISTENCY OF THE HEUN METHOD IN THE SUSCEPTIBLE, EXPOSED, INFECTED AND RECOVERED EPIDEMIC MODEL FOR DENGUE FEVER](J. Sains Indon., 42(1): 52-58, 2018)Keywords:Heun Method, Epidemic Model, Dengue Fever
PENGGUNAAN METODE SMOOTHING EKSPONENSIAL DALAM MERAMAL PERGERAKAN INFLASI DI KOTA MEDAN Sartika, Dewi .; Nasution, Hamidah .
KARISMATIKA: Kumpulan Artikel Ilmiah, Informatika, Statistik, Matematika dan Aplikasi Vol 3, No 1 (2017): Karismatika
Publisher : Universitas Negeri Medan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24114/jmk.v3i1.8823

Abstract

ABSTRAK Inflasi merupakan gejala ekonomi yang perlu diatasi. Penelitian dilakukan untuk mengetahui dan meramal pergerakan inflasi di kota Medan. Data yang digunakan adalah data sekunder dari Badan Pusat Statistik (BPS) Provinsi Sumatera Utara dari runtun waktu Januari 2001 sampai Juli 2016 yang bersifat stasioner dengan pola data Horizontal. Peramalan menggunakan metode Single Eksponensial Smoothing yang berfungsi untuk mengurangi ketidakteraturan atau unsur random dari data yang lalu dan dalam mengevaluasi hasil peramalan menggunakan metode Mean Squared Error (MSE). Hasil peramalan menunjukkan bahwa peramalan pergerakan inflasi di kota Medan pada Agustus 2016 diperoleh sebesar 0.38% dengan pemilihan parameter α=0.1 artinya pergerakan inflasi di kota Medan kembali mengalami kenaikan dari bulan sebelumnya.Kata kunci: Meramal Pergerakan Inflasi, Single Eksponensial Smoothing ABSTRACT Inflation is an economic phenomenon that needs to be addressed. Research was conducted to determine and predict the movement of inflationin the city field. The used is secondary from the central statistical agency of the province of north sumatera time series januari 2001to july 2016 which is stationary with horizontal pattern. Forecasting using single exponential smoothing method which serves to reduce clutter or a random component of the and in evaluating the result of  forecastingmethods mean square error. Forecasting results indicate that forecasting inflation movements in the city field in agugust 2016 obtained at 0.38% with a selection of parameter α=0.1 means the movement of inflation in the city field again increased from the previos month. Keywords: Predicting the Movement of Inflation, Single Exponential Smoothing
ANALISIS KESTABILAN PENYEBARAN PENYAKIT COVID-19 DENGAN PENGARUH KARANTINA hutabarat, Putri Sari; Nasution, Hamidah .
KARISMATIKA: Kumpulan Artikel Ilmiah, Informatika, Statistik, Matematika dan Aplikasi Vol 7, No 2 (2021): Karismatika
Publisher : Universitas Negeri Medan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24114/jmk.v7i2.30930

Abstract

Coronavirus Disease 2019 (Covid-19) adalah jenis penyakit baru yang belum pernah diidentifikasi sebelumnya pada manusia. Coronavirus merupakan keluarga besar virus yang menyebabkan penyakit mulai dari gejala ringan sampai gejala berat. Coronavirus merupakan penyakit yang dapat menular. Untuk mengatasi penyebaran penyakit menular, perlu dilakukan pencegahan. Karantina merupakan salah satu cara untuk mengatasi penyebaran penyakit. Tujuan dari penelitian ini adalah untuk menganalisis dan menjelaskan model simulasi penyebaran penyakit Covid-19 di bawah pengaruh karantina. Salah satu model matematis penularan penyakit adalah model SEIR. Dari model akan diperoleh nilai Reproduksi Dasar , titik kesetimbangan stabil asimtotik lokal untuk  (kasus endemik penyakit) dan memiliki titik kesetimbangan stabil asimtotik untuk  (kasus bebas penyakit). Abstract— Coronavirus Disease 2019 (Covid-19) is a new type of disease that has never been previously identified in humans. Coronaviruses are a large family of viruses that cause illness ranging from mild to severe. Coronavirus is a disease that can be transmitted. To prevent the spread of infectious diseases, prevention is necessary. Quarantine is one way to prevent the spread of disease. The purpose of this study is to analyze and explain a simulation model of the spread of the Covid-19 disease under the influence of quarantine. One of the mathematical models of disease transmission is the SEIR model. From the model, we get the Basic Reproductive value , a local asymptotically stable equilibrium point for   (disease-endemic cases) and asymptotically stable equilibrium point for   (disease-free cases). 
IMPLEMENTATION OF THE DOUBLE EXPONENTIAL SMOOTHING (DES) METHOD TO FORECET THE CONSUMER PRICE INDEX (CPI) IN MEDAN CITY Goklas Hutagalung; Hamidah Nasution
ZERO: Jurnal Sains, Matematika dan Terapan Vol 6, No 1 (2022): Zero: Jurnal Sains Matematika dan Terapan
Publisher : UIN Sumatera Utara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30829/zero.v6i1.12455

Abstract

The Central Statistics Agency (BPS) as a non-ministerial government agency has the task of providing data needs for the government and the public obtained through censuses and surveys conducted by BPS itself and also from other government departments or agencies as secondary data.  The problem that occurs at BPS is   the field of inflation, one of which is in the field of the consumer price index, which experiences price fluctuations which have an impact on the economy. Forecasting is an important tool used for effective and efficient planning, therefore, forecasting is needed to predict various events that will occur in the future. One of the methods used for forecasting is the linear Double Exponential Smoothing (DES) method from Brown, this method basically uses past data which is smoothed by exponen- tially weighting the older observation values or newer values and the data used shows trend pattern. Trend is a smoothed estimate of the average growth at the end of the period. In this study, the best parameter α for forecasting the consumer price index in the city of Medan is α= 0,8 with a MAPE percentage of 0,0223. And the results of the consumer price index forecast in the city of Medan in 2022-2023 show an increase every month.
Application of Graph Coloring on Nurse Work Scheduling at H. Adam Malik Hospital Medan Using the Tabu Search Algorithm Rizky Ananda; Zulfahmi Indra; Hamidah Nasution
ZERO: Jurnal Sains, Matematika dan Terapan Vol 6, No 1 (2022): Zero: Jurnal Sains Matematika dan Terapan
Publisher : UIN Sumatera Utara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30829/zero.v6i1.12451

Abstract

Complex problems that usually occur in every hospital, one of which is scheduling with so many aspects, for example: the number of nurses, the distribution of nurse shifts, time off or leave and others. With the manual method that is still used in compiling the nurse's work schedule, it makes it difficult for an irregular and regular schedule. In solving the scheduling problem, the graph coloring method can be used. This scheduling problem can be solved by graph coloring. One solution to solve the problem of concluding graphs in scheduling is the Tabu Search Algorithm. A method that works as an effective problem solving method in finding the best solution to a problem. A method is used to solve the problem by making a representation in the form of a graph where the nurse is a node and grouping nurses as an edge by implementing the graph coloring into the Tabu Search Algorithm.
The Development of Learning Media Oriented to Team Games Tournament Learning Model Using Canva and Kahoot! to Improve Student’s Problem Solving Ability in SMAN 10 Medan Paula Putri Vansia Br. Siahaan; Hamidah Nasution
Jurnal Fibonaci: Jurnal Pendidikan Matematika Vol 3, No 2 (2022): JURNAL FIBONACI: JURNAL PENDIDIKAN MATEMATIKA
Publisher : Prodi Pendidikan Matematika FMIPA Universitas Negeri Medan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24114/jfi.v3i2.40678

Abstract

This study aims to determine (1) the process of developing learning media based on Canva and Kahoot, (2) learning media can be used for the learning process, and (3) improving the problem solving ability of students who are given mathematics learning with the topic of developed arithmetic series. The subjects in this study were students of class XI IPA -1 SMA NEGERI 10 MEDAN. Learning tools developed in the form of learning media using Canva and Kahoot!. Data analysis techniques in the development of learning tools used descriptive statistical analysis techniques. The results showed that: (1) the learning media development process involved five stages of development and then before being tested in the field, validation was obtained with the media assessment average score from the media expert team was 3.2 (valid) and material expert was 3.45 (valid). , based on the efficiency aspect based on the results of the student response questionnaire, the first trial obtained a score of 72% (positive) and the second trial was carried out with revisions and got a score of 85% (very positive), and based on the effectiveness of the learning tools developed on the problem solving abilities of students concluded on: student learning completeness after the use of media by 85%; (2) with the previous description the media can be used as a learning aid with revisions, and (3) the improvement of problem solving abilities can be seen from the n-Gain value of 0.5 which means it is in the medium category
Development of Learning Tools Based on the Think Pair Share Learning Model to Improve Metacognition Abilities of Junior High School 4 Panyabungan Ulfy Rahmadani; Hamidah Nasution; Mariani Mariani
PARADIKMA: JURNAL PENDIDIKAN MATEMATIKA Vol 17, No 1 (2024): PARADIKMA JURNAL PENDIDIKAN MATEMATIKA (January-June 2024)
Publisher : Study Program of Mathematics Education of Unimed Postgraduate Program

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24114/paradikma.v17i1.52552

Abstract

This study aims to describe the validity, usability, and efficacy of learning tools based on the Think-Pair-Share learning model, the improvement of students' mathematical metacognition and mathematical communication skills through the use of the developed learning tools, and the process of students' answers to questions pertaining to mathematical metacognition and communication skills. This study is development research employing a four-dimensional development model. Validation and observation sheets, Student Books, Mathematical Metacognition Tests, and Mathematical Communication Tests are the research instruments. Trial I was conducted on students in class VIIIA, and Trial II was conducted on students in class VIIIB at SMP Negeri 4 Panyabungan. From the findings of this study, it was determined that: (1) The developed Think Pair Share learning tools including BS, LKPD, TKMM, and TKKM were included in the valid category; (2) The practicality of the Think Pair Share-based learning device that was developed revealed that: the device could be used with a few revisions and the results of observations of the implementation of the learning device in class revealed that the average practical value, the r-value, was greater than 0.5; and (3) The validity of the Think In trial II, the pre-test was 20.83 percent and the post-test was 87.50 percent; more than 80 percent of students gave positive responses to the learning tools developed; and more than 85 percent of each component of student involvement demonstrated that students were actively engaged in learning; (4) Students' mathematical metacognition and communication abilities increased using the developed Think Pair Share-based learning tool, with an N-gain score of 0.54 for mathematical metacognition and an N-gain score of 0.54 for communication ability.
The Locating Chromatic Number for Pizza Graphs Surbakti, Nurul Maulida; Kartika, Dinda; Nasution, Hamidah; Dewi, Sri
Sainmatika: Jurnal Ilmiah Matematika dan Ilmu Pengetahuan Alam Vol. 20 No. 2 (2023): Sainmatika : Jurnal Ilmiah Matematika dan Ilmu Pengetahuan Alam
Publisher : Universitas PGRI Palembang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31851/sainmatika.v20i2.13085

Abstract

The location chromatic number for a graph is an extension of the concepts of partition dimension and vertex coloring in a graph. The minimum number of colors required to perform location coloring in graph G is referred to as the location chromatic number of graph G. This research is a literature study that discusses the location chromatic number of the Pizza graph. The approach used to calculate the location-chromatic number of these graphs involves determining upper and lower bounds. The results obtained show that the location chromatic number of the pizza graph is 4 for n = 3 and n for ≥ 4.
Exploring of Homotopy Perturbation Method (HPM) for Solving Spread of COVID-19 Nasution, Hamidah; Mulyono, Mulyono; Surbakti, Nurul Maulida; BR Sihaholo, Ruth Salisa
Jambura Journal of Biomathematics (JJBM) Volume 4, Issue 2: December 2023
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jjbm.v4i2.21560

Abstract

This article discusses the solution to the non-linear differential equation system for the spread of COVID19 with SEIR (Susceptible, Exposed, Infected, Recovered) model using the Homotopy Perturbation Method. Specifically, this article examines the impact of moving the recovered subpopulation back to the susceptible subpopulation on the spread of COVID-19 in the city of Medan. The data used is real data for the city of Medan in 2021. The results of constructing a model for the spread of COVID-19 were analyzed to obtain a disease-free critical point. By using the Next Generation Matrix method, the Basic Reproduction number R0 = 4.61 is obtained, this indicates that COVID-19 is still possible to spread in Medan City. Simulations using the Homotopy Perturbation Method numerical approach and the results compared with the Runge Kutte Order 4 method show results that accurately describe the dynamics of the spread of COVID-19 in Medan City. The very small error indicates that the Homotopy Perturbation Method is very suitable for use in solving non-linear differential equation systems, especially in the SEIRS model of the spread of COVID-19. The simulation results show that the impact of the movement of recovered sub-populations to susceptible sub-populations results in accelerated transmission of COVID-19. The greater the number of movements higher the rate of spread of COVID-19.
Implementasi Pengendalian Persediaan Dodol Dengan Metode Newsboy Problem Pada Toko Sejahtera Pasar Bengkel Serdang Bedagai Farwansyah, Mhd Rio; Nasution, Hamidah; Lubis, Riri Syafitri
Proximal: Jurnal Penelitian Matematika dan Pendidikan Matematika Vol. 7 No. 1 (2024): Sustainable Development Goal in Mathematics and Mathematics Education
Publisher : Universitas Cokroaminoto Palopo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30605/proximal.v7i1.4037

Abstract

Bengkel market is a souvenir or snack and is often referred to as a typical tour of Serdang Bedagai Regencey.Dodol with its flavor variant is the most famous product in this area, so it is often referred to as the DOdol Market. The prosperous shop has a problem, namely that there is often an excess of dodol production that does not sell well, thus making the store unable to optimize profits. The Newsboy Problem Method is a stochastic model that considers the existence of uncertainty factor in the amount of demand ffor each production period. From the results of research using the Newsboy Problem method, the optimal production quantity for the original lunkhead is 155 pcs with a profit of Rp.10.605.000. Pandan dodol produces an optimal production quantity of 110 pcs with a profit of Rp.10.920.000. and dodol durian produces an optimal production quantity of 125 pcs with a profit of Rp.9.990.000.