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All Journal E-Jurnal Matematika CAUCHY: Jurnal Matematika Murni dan Aplikasi Prosiding SI MaNIs (Seminar Nasional Integrasi Matematika dan Nilai-Nilai Islami) Jurnal Teknik Industri: Jurnal Keilmuan dan Aplikasi Teknik Industri BAREKENG: Jurnal Ilmu Matematika dan Terapan Communication in Biomathematical Sciences Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistika Jambura Journal of Biomathematics (JJBM) Jurnal Diferensial International Journal of Quantitative Research and Modeling Jurnal Matematika Integratif In Search (Informatic, Science, Entrepreneur, Applied Art, Research, Humanism)

Nursanti Anggriani

Departemen Matematika, Fakultas Matematika Dan Ilmu Pengetahuan Alam, Universitas Padjadjaran

Author-ID : 513236

Arts Humanities Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Electrical & Electronics Engineering Energy Engineering Environmental Science Industrial & Manufacturing Engineering Mathematics Mechanical Engineering Physics Public Health Social Sciences Transportation Other

Published : 17 Documents Claim Missing Document

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Perbandingan Proyeksi Penduduk Jawa Barat Menggunakan Model Malthus dan Verhulst dengan Variasi Interval Pengambilan Sampel Nenden Siti Nurkholipah; Nursanti Anggriani; Asep K. Supriatna
Prosiding SI MaNIs (Seminar Nasional Integrasi Matematika dan Nilai-Nilai Islami) Vol 1 No 1 (2017): Prosiding SI MaNIs (Seminar Nasional Integrasi Matematika dan Nilai Islami )
Publisher : Mathematics Department

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (486.642 KB)

Jawa Barat merupakan Provinsi terpadat di Indonesia. Padatnya penduduk di Jawa Barat mengakibatkan banyak permasalahan di berbagai aspek. Oleh karena itu pemerintah harus antisipasi ke depan mengenai jumlah penduduk Provinsi Jawa Barat. Antisipasi jangka panjang dapat dilakukan dengan memproyeksikan jumlah penduduk. Proyeksi jumlah penduduk dapat digunakan sebagai pertimbangan dalam kebijakan kependudukan Provinsi Jawa Barat. Proyeksi penduduk dapat dilakukan dengan menggunakan model Malthus dan model Verhulst. Pada paper ini dipelajari model matematika pada pertumbuhan populasi penduduk Provinsi Jawa Barat menggunakan model Malthus dan model Verhulst dimana dalam pengambilan sampelnya diambil dengan beberapa interval yang berbeda. Dalam penelitian dihutung pula laju pertumbuhan populasi penduduk dan carring capacity. Data yang dianalisis adalah data jumlah penduduk Provinsi Jawa Barat tahun 1990 sampai dengan tahun 2015. Dari interval pada masing-masing model, dibandingkan berdasarkan galat yang dihasilkan. Interval dari suatu model yang menghasilkan galat terkecil merupakan interval yang paling tepat pada model tersebut. Kemudian dari kedua model dipilih model yang paling tepat berdasarkan dengan galat terkecil yang dianggap sebagai model paling mendekati data yang sebenarnya. Model Verhulst dengan interval pengambilan sampel 12 merupakan model dengan galat terkecil yaitu 1.410076124% sehingga dapat dijadikan rujukan untuk memproyeksikan jumlah penduduk di Provinsi Jawa Barat.

Comparison of the differential transformation method and non standard finite difference scheme for solving plant disease mathematical model Meksianis Z. Ndii; Nursanti Anggriani; Asep K. Supriatna
Communication in Biomathematical Sciences Vol. 1 No. 2 (2018)
Publisher : Indonesian Bio-Mathematical Society

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/cbms.2018.1.2.4

The Differential Transformation Method (DTM) and the Non Standard Finite Difference Scheme (NSFDS) are alternative numerical techniques used to solve a system of linear and nonlinear differential equations. In this paper, we construct the DTM and NSFDS for a mathematical model of plant disease transmission dynamics and compare their solutions to that generated by MATLAB ode45 routine, which is the well-established numerical routine. The solutions of the DTM and NSFDS are in good agreement with MATLAB ode45 routine in the small time step. However, when the time step is larger, the NSFDS performs better than the DTM.

Biological and Mechanical Transmission Models of Dengue Fever Laura Laura; Asep K. Supriatna; Mia Siti Khumaeroh; Nursanti Anggriani
Communication in Biomathematical Sciences Vol. 2 No. 1 (2019)
Publisher : Indonesian Bio-Mathematical Society

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/cbms.2019.2.1.2

Dengue fever disease is caused by the dengue virus and transmitted primarily by the Aedes aegypti mosquitoes. There is no vaccine available to prevent transmission of the disease until recently which makes 30% of the worlds population is at risk of the disease. The Aedes aegypti mosquitoes are known as multiplebiters during their blood meal periods. There are two possible transmissions of the dengue virus from the mosquitoes to humans. First, infectious mosquitoes may transmit the virus through the bite to a susceptible human after the virus experiencing the extrinsic incubation period (EIP) in the body of the mosquitoes. Second, the transmission happens directly through the transfer of virus carried in the saliva of a mosquito to a susceptible human at the second bite without waiting for the EIP. The later is known as a mechanical transmission, which occurs when a susceptible mosquito bites an infectious human and almost at the same time it transmits the virus to a healthy human. Only a few literature consider this kind of dengue transmission. In this paper, we develop a mathematical model for dengue transmission by modifying the standard dengue transmission model with the presence of mechanical transmission. We show that the spreading behavior of the disease can be described by the basic reproduction number (BRN), R0. The disease will die out if R0 < 1, and it remains endemic if R0 > 1. The analysis shows that the ratio of the BRN in the presence and absence of the mechanical transmission increases as the mechanical transmission rate increases. There is also a significant change in the outbreak intensity especially when the mechanical transmission rate is greater than the biological transmission rate.

Analisis Dinamik pada Model Pengendalian Persediaan Dua Produk Berbeda dengan Kapasitas Produksi Terbatas Serta Inisiatif Tim Sales Bersama Nursanti Anggriani; Eman Lesmana; Asep Supriatna; Hennie Husniah; Mochamad Yudha
Jurnal Teknik Industri: Jurnal Keilmuan dan Aplikasi Teknik Industri Vol. 17 No. 1 (2015): JUNE 2015
Publisher : Institute of Research and Community Outreach - Petra Christian University

In this paper we discuss a mathematical model of inventory control policy based on local stability analysis using a system dynamics approach. It is assumed that the production capacity and the maximum production capacity has an upper limit but with sufficient availability of raw materials so that the production occurs continuously without stock out. The model is intended to meet the market equilibrium by determining the optimal number of agents in a team of salesman, the level of inventory, and the level of production capacity, so that thenet income is maximized. We use the Pontryagin Maximum Principle to find the optimal control of the system. Finally some numerical simulations are performed to give a sensitivity analysis of the inventory control policy to the parameters involved in the system.

Apparel Production Optimization Model with Branch and Bound Method (Case Study: Sawargi Jersey Confectionery, West Java) Athaya Alyanisa; Julita Nahar; Nursanti Anggriani
International Journal of Quantitative Research and Modeling Vol 4, No 1 (2023)
Publisher : Research Collaboration Community (RCC)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.46336/ijqrm.v4i1.412

The production optimization model can find optimal results and maximum profits from a production activity by considering certain limitations. In this research, a production optimization model was created based on data on apparel production in UMKM (Usaha Mikro, Kecil, dan Menengah) Konfeksi Sawargi Jersey in West Java by applying the Integer Linear Programming model and solving it using the Branch and Bound Method with the help of Software Python. This research was conducted because there are many business actors engaged in the same field, especially in the apparel and sports sectors, considering the problems that are often faced by UMKM owners, such as raw material supplies, production time, production costs, selling prices, production profits, and production limits, minimum and maximum production. Based on this study's results, the Branch and Bound Method application to optimize apparel production obtains more optimal results and maximum profits than the actual production carried out by UMKM Konfeksi Sawargi Jersey.

Kontrol Optimum pada Model Epidemik SIR dengan Pengaruh Vaksinasi dan Faktor Imigrasi Nursanti Anggriani; Asep K Supriatna; Betty Subartini; R Wulantini
Jurnal Matematika Integratif Vol 11, No 2: Oktober, 2015
Publisher : Department of Matematics, Universitas Padjadjaran

Pada artikel ini dibahas model imigrasi SIR (Susceptible-Infected-Recovered) dengan memberikan pengaruh vaksinasi. Diasumsikan vaksinasi diberikan kepada populasi pendatang dan bayi yang baru lahir, dengan tujuan untuk mengurangi penyebaran penyakit tersebut. Masalah kontrol optimal diselesaikan dengan menggunakan prinsip Maksimum Pontryagin dengan tujuan untuk meminimumkan jumlah individu terinfeksi. Simulasi numerik menunjukkan keefektifan pengendalian dengan kontrol pengobatan dan vaksinasi dapat mengurangi populasi yang terinfeksi sehingga penyebaran penyakit dapat dicegah.

Analisis Dinamik Penyebaran Covid-19 dengan Faktor Vaksinasi dengan menggunakan Metode Runge-Kutta Fehlberg Rizky Ashgi; Sri Purwani; Nursanti Anggriani
Jurnal Matematika Integratif Vol 18, No 2: Oktober 2022
Publisher : Department of Matematics, Universitas Padjadjaran

Penyakit Covid-19 merupakan penyakit yang sedang mewabah pada saat ini, hampir seluruh dunia terkena dan meninggal diakibatkan oleh penyakit Covid-19, berbagai cara dilakukan untuk mencegah penularan salah satunya dengan program vaksinasi. Kemudian ada upaya memperhitungkan kapan akan berakhirnya penyakit Covid-19 di suatu wilayah populasi. Hal ini bersesuain dengan bidang matematika epidemiologi yaitu pemodelan matematika yang dapat memprediksi kapan berkahirnya penyakit Covid-19 di suatu wilayah, model matematika yang telah dibuat sebelumnya yaitu model Susceptible-Infected-Recovered (SIR). Dari model tersebut dapat dikembangkan lagi dengan menambahkan faktor Exposed menjadi model Susceptible-Exposed-Infected-Recovered (SEIR), atau faktor Deceased sehingga menjadi model Susceptible-Infected-Deceased-Recovered (SIDR), atau faktor Vaccinated sehingga menjadi model Susceptible-Vaccinated-Infected-Recovered (SVIR). Pada penelitian ini kasus penyakit Covid-19 di analisis dengan menentukan titik equilibrium dan basic reproduction number (R0) sedangkan analisis numeriknya dengan menggunakan metode Runge-Kutta Fehlberg dalam model penyebaran penyakit Covid-19. Penelitian ini akan mengembangkan model SVIR dengan melibatkan faktor vaksinasi. Penelitian ini bertujuan untuk mengetahui model matematika yaitu model SVIR pada penyebaran penyakit Covid-19, titik equilibrium model SVIR pada penyebaran penyakit Covid-19, basic reproduction number (R0) model SVIR pada penyebaran penyakit Covid-19, solusi numerik metode Runge-Kutta Fehlberg pada penyebaran penyakit Covid-19, dan efektivitas model SVIR pada penyebaran penyakit Covid-19. Kata kunci: Covid-19, Metode Runge-Kutta Fehlberg, model SVIR.

MODEL PENYEBARAN KRIMINALITAS DENGAN PENGARUH KEBIJAKAN KRIMINAL SEBAGAI PENCEGAHAN PADA SITUASI KRISIS EKONOMI Muhammad Audri Indraputra; Anita Triska; Nursanti Anggriani
Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistika Vol. 4 No. 2 (2023): Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistik
Publisher : LPPM Universitas Bina Bangsa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.46306/lb.v4i2.334

Crime is behavior that violates the law and social norms so that people oppose it which can occur due to environmental factors, namely the imitation of criminality and individual economic factors, can be prevented by criminal policies, and can increase in certain situations, one of which is the economic crisis. The mathematical model of the spread of crime is built by considering individual economic factors which are implemented as work and non-work compartments, crime imitation factors which are implemented as the rate of crime affected, and criminal policy factors as an obstacle to crime. Based on the model that has been built, the equilibrium point and its stability, the basic reproduction rate, population dynamics, and conditions that can describe the influence of criminal policy and the economic crisis on the crime rate are determined. The model has one non-endemic equilibrium point and one non-negative endemic equilibrium point which can reach a stable condition. Numerical simulations show that population dynamics using parameter values and initial compartments obtained from various sources are stable towards an endemic equilibrium point, criminal policies can reduce crime rates, and economic crises can increase crime rates.

Analisis Model Persamaan Diferensial Fraksional dari Penyebaran Penyakit Campak dan Solusi Numerik Menggunakan Metode Dekomposisi Adomian Laplace Wildan Rachman Gumelar; Endang Rusyaman; Nursanti Anggriani
In Search (Informatic, Science, Entrepreneur, Applied Art, Research, Humanism) Vol 22 No 2 (2023): In Search
Publisher : LPPM UNIBI

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37278/insearch.v22i2.749

Persamaan diferensial fraksional adalah persamaan diferensial dengan orde fraksional yang dapat diterapkan ke dalam berbagai bidang seperti aliran fluida, viskoelastisitas, viskositas, ekonomi, keuangan, dan model penyebaran penyakit. Campak adalah penyakit yang disebabkan oleh infeksi virus. Penyakit ini sering menyerang anak-anak dan tergolong penyakit yang sangat menular. Penelitian ini bertujuan untuk memperoleh model persamaan diferensial fraksional Susceptible Vaccinated Exposed Infected Quarantined Recovered (SVEIQR) dari penyebaran penyakit campak, medapatkan hasil analisis, solusi numerik, serta simulasi numerik dari model tersebut. Metode dekomposisi Adomian Laplace digunakan untuk memperoleh solusi numerik dari model persamaan diferensial fraksional SVEIQR penyebaran penyakit campak. Hasil dari penelitian ini adalah diperolehnya model persamaan diferensial fraksional SVEIQR dari penyebaran penyakit campak, pembuktian eksistensi dan ketunggalan solusi, memperoleh titik ekuilibrium, rasio reproduksi dasar, analisis kestabilan titik ekuilibrium non-endemik, memperoleh solusi numerik, dan simulasi numerik. Berdasarkan grafik yang diperoleh dari simulasi numerik didapat bahwa semakin mendekatnya orde turunan fraksional ke maka solusi dengan orde fraksional akan mendekati ke solusi dengan orde 1.

PERAMALAN JUMLAH KEDATANGAN WISATAWAN ASING BANDARA DI BALI DAN BANTEN MENGGUNAKAN METODE HOLT-WINTER ADITIF DAN MULTIPLIKATIF RAIHANAH RAIHANAH; ANITA TRISKA; NURSANTI ANGGRIANI
E-Jurnal Matematika Vol 12 No 4 (2023)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2023.v12.i04.p427

Tourism is an important sector in the Indonesian economy. One of the benchmarks for the development of the tourism sector is the number of foreign tourist arrivals to Indonesia. Forecasting the number of foreign tourist arrivals is needed so that actors contributing to the tourism sector can optimize their service efforts. It is necessary to forecast the number of foreign tourist arrivals, especially through the arrival gate at I Gusti Ngurah Rai airport (Bali) and Soekarno-Hatta airport (Banten) as one of the main arrival gates most visited by foreign tourists. This study aims to predict the number of foreign tourist arrivals through the airport by comparing the accuracy of the Holt-Winter's additive and multiplicative method. MAPE (Mean Absolute Percentage Error) and the Durbin Watson statistical test are used and to measure the accuracy of the forecast value against the original data. Overall, the MAPE value and Durbin Watson statistical test result indicate that the additive and multiplicative approaches are good enough to be used. However, judging from the smallest MAPE value, Holt-Winter multiplicative is better used in processing data on the number of foreign tourist arrivals at both I Gusti Ngurah Rai and Soekarno-Hatta airports with MAPE values ??of 7.57% and 6.80% respectively.

Co-Authors Abdul Gazir Syarifudin Aisyah, Ranti Rivani Amelia, Rika Anita Triska Asep K Supriatna Asep K Supriatna, Asep K Asep K. Supriatna Asep K. Supriatna Asep K. Supriatna Asep Kuswandi Supriatna Asep Supriatna Athaya Alyanisa Betty Subartini Chairunnisa, Nadine Zahra Ema Carnia Eman Lesmana Endang Rusyaman Firdaus, Hamidah 'Alina Hennie Husniah Herlina Napitupulu Indah Nursuprianah Julita Nahar Laura Laura Manuela, Angellyca Leoni Maryati, Ati Mia Siti Khumaeroh Mochamad Yudha Muhammad Audri Indraputra Nasri, Ramadhoni Ndii, Meksianis Z Nenden Siti Nurkholipah Nuning Nuraini Nurul Gusriani, Nurul R Wulantini R Wulantini, R Raihanah Raihanah Rizky Ashgi Rizky Ashgi Rosiman, Rosiman Sisilia Sylviani Sri Purwani Tresna, Sanubari Tansah Wildan Rachman Gumelar Yudi Rosandi

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