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All Journal ACTA VETERINARIA INDONESIANA Jurnal Informatika JURNAL DERIVAT: JURNAL MATEMATIKA DAN PENDIDIKAN MATEMATIKA Journal of Mathematical and Fundamental Sciences Jurnal Penelitian Pendidikan IPA (JPPIPA) BAREKENG: Jurnal Ilmu Matematika dan Terapan JTAM (Jurnal Teori dan Aplikasi Matematika) Jambura Journal of Mathematics InPrime: Indonesian Journal Of Pure And Applied Mathematics Jambura Journal of Biomathematics (JJBM) Milang Journal of Mathematics and Its Applications International Journal of Disaster Management Jurnal Matematika Integratif MILANG Journal of Mathematics and Its Applications Limits: Journal of Mathematics and Its Applications
Hadi Sumarno
Departemen Matematika, Fakultas MIPA, Institut Pertanian Bogor, Jalan Meranti, Kampus IPB Dramaga 16680, Jawa Barat
Agriculture, Biological Sciences & Forestry Humanities Astronomy Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Chemistry Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Earth & Planetary Sciences Economics, Econometrics & Finance Education Electrical & Electronics Engineering Energy Engineering Environmental Science Materials Science & Nanotechnology Mathematics Mechanical Engineering Physics Social Sciences Transportation Veterinary

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Pola Faktor Keragaman pada Respons Dikrit Fitri Nurjanah; Budi Suharjo; Hadi Sumarno
Jambura Journal of Mathematics Vol 5, No 1: February 2023
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1700.194 KB) | DOI: 10.34312/jjom.v5i1.15556

Abstract

In social research, respondents are usually given several questions or indicators for assessment. Responses between respondents may differ even if the same questions or indicators are given. This is one of the causes of the diversity of responses. The diversity of responses is one of the factors that cause response bias in conducting social research. The diversity of responses can come from differences in the thought processes of each respondent. There are three main aspects in the thought process, namely cognition, affection, and conation. This paper aims to analyze the source of the diversity of responses in the aspects of cognition, affection, and conation. The first thing to do in this research is to design a questionnaire by developing indicators into three aspects (cognition, affection, and conation). The study involved 100 respondents using OVO with a purposive sampling method. Respondents assess indicators of aspects of cognition, affection, and conation. The assessment options given are discrete assessments 1-5 with a description of the assessment adjusted to the indicators. Then, the respondent's assessment data were analyzed by calculating the standard deviation, analysis of variance, further test (Tukey HSD) and the distribution of the assessment of each indicator. The main result obtained is that there are three consecutive indicators with the largest standard deviation values in each aspect. These indicators are the source of the diversity of responses in aspects of cognition, affection, and conation. The results of the analysis also show that the conation aspect is the most diverse aspect with the largest standard deviation value. This research is useful as a reference for making social research questionnaires in measuring aspects related to cognition, affection, and conation.
Disaster Related to Mining: Causes, Impact, and Lesson Learned Euis Sunarti; Hadi Sumarno; Dadang Rahmat Nugraha; Intan Islamia
International Journal of Disaster Management Vol 1, No 1 (2017): June
Publisher : TDMRC, Universitas Syiah Kuala

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (311.267 KB)

Abstract

This qualitative-descriptive study aimed to analyze the relationship among risk reduction , natural resource management and poverty as part of Sustainability Development Goals (SDGs) indicators. This research is part of a mandate research from government (Penelitian Unggulan Sesuai Mandat Pusat) which raised the case of illegal gold mining (PETI: Penambangan Emas Tanpa Izin) in Merangin Regency, primary and secondary data were being analyzed using content analysis and DPSIR. Results showed that illegal mining along the river moves from upstream to downstream and cause an increase in catastrophic events. Absence of law enforcement and disaster risk reduction contributed to environmental damage and increase the intensity of floods and flash floods. Disaster managers have not even performed disaster risk analysis therefore it is still far to get to its integration with the achievement of SDGs. Keywords: Disaster, integration, risk reduction, SDGs, Merangin
Cadangan Manfaat Minimum dan Maksimum Asuransi Jiwa Seumur Hidup dan Berjangka dengan Metode Prospektif Yolwi Dyatma; I Gusti Putu Purnaba; Hadi Sumarno
Jurnal Matematika Integratif Vol 18, No 1: April 2022
Publisher : Department of Matematics, Universitas Padjadjaran

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (387.559 KB) | DOI: 10.24198/jmi.v18.n1.38478.41-51

Abstract

Menentukan cadangan manfaat asuransi jiwa perlu dilakukan oleh perusahaan asuransi agar dapat membayarkan klaim nasabahnya dikemudian hari. Dengan menggunakan produk asuransi jiwa seumur hidup dan berjangka 40 tahun akan ditentukan nilai cadangan manfaat minimum dan maksimum dari suatu perusahaan asuransi. Mengambil penelitian untuk nasabah perempuan yang menggunakan produk perusahaan asuransi jiwa seumur hidup dengan tingkat suku bunga 6% didapatkan nilai cadangan manfaatnya setelah 25 tahun menggunakan asuransi jiwa seumur hidup sebesar Rp168.436.406,10. Dan untuk asuransi jiwa berjangka 40 tahun nilai cadangan manfaat setelah 20 tahun sebesar Rp241.081.101,40. Dari hasil yang diperoleh dapat digunakan oleh perusahaan asuransi dalam menentukan cadangan manfaat perusahaannya.
Model Stokastik Pada Penyebaran Penyakit Tuberkulosis Aziezah, Nur; Sumarno, Hadi; Jaharuddin, Jaharuddin
Jurnal Derivat: Jurnal Matematika dan Pendidikan Matematika Vol. 11 No. 2 (2024): Jurnal Derivat (Agustus 2024)
Publisher : Pendidikan Matematika Universitas PGRI Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31316/jderivat.v10i2.5573

Abstract

Tuberculosis is an infectious disease caused by Mycobacterium tuberculosis. This disease represents a significant global public health challenge. Consequently, a stochastic differential equation model of tuberculosis has been developed. In this context, an analysis examines the impact of complete treatment on the disease-free population distribution, duration of disease-free status, and the probability of remaining disease-free. The analysis shows that as the rate of complete treatment increases, the probability of achieving disease-free status rises, the duration of remaining disease-free shortens, and the number of disease-free individuals grows over time. Keywords: Complete Treatment, Disease-Free Duration, Stochastic Differential Equations, Tuberculosis
A Study on the Estimator Distribution for the Expected Value of a Compound Periodic Poisson Process with Power Function Trend Safitri, Nurul Indah; Mangku, I Wayan; Sumarno, Hadi
InPrime: Indonesian Journal of Pure and Applied Mathematics Vol 4, No 2 (2022)
Publisher : Department of Mathematics, Faculty of Sciences and Technology, UIN Syarif Hidayatullah

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15408/inprime.v4i2.25104

Abstract

This article discusses the estimation for the expected value, also called the mean function, of a compound periodic Poisson process with a power function trend. The aims of our study are, first, to modify the existing estimator to produce a new estimator that is normally distributed, and, second, to determine the smallest observation interval size such that our proposed estimator is still normally distributed. Basically, we formulate the estimator using the moment method. We use Monte Carlo simulation to check the distribution of our new estimator. The result shows that a new estimator for the expected value of a compound periodic Poisson process with a power function trend is normally distributed and the simulation result shows that the distribution of the new estimator is already normally distributed at the length of 100 observation interval for a period of 1 unit. This interval is the smallest size of the observation interval. The Anderson-Darling test shows that when the period is getting larger, the p-value is also getting bigger. Therefore, the larger period requires a wider observation interval to ensure that the estimator still has a normal distribution.Keywords: moment method; normal distribution; Poisson process; the smallest observation interval. AbstrakPada artikel ini dibahas tentang pendugaan fungsi nilai harapan Proses Poisson periodik majemuk dengan tren fungsi pangkat. Tujuan penelitian kami adalah, pertama, memodifikasi penduga yang telah ada untuk menghasilkan penduga baru yang memiliki distribusi normal. Kedua, menentukan ukuran interval pengamatan terkecil sehingga penduga yang diusulkan masih berdistribusi normal. Pada dasarnya, penduga yang kami usulkan diformulasi menggunakan metode momen. Kami menggunakan metode simulasi Monte Carlo untuk memeriksa sebaran distribusinya. Hasil menunjukkan bahwa penduga yang baru untuk fungsi nilai harapan Proses Poisson periodik majemuk dengan tren fungsi pangkat memiliki distribusi normal. Hasil simulasi menunjukkan bahwa penduga baru telah berdistribusi normal pada panjang interval pengamatan 100 untuk periode sebesar 1 satuan. Interval pengamatan ini merupakan ukuran interval pengamatan terkecil. Selain itu, hasil uji Anderson-Darling menunjukkan bahwa ketika periode semakin besar maka p-value juga semakin besar. Oleh karena itu, periode yang lebih besar memerlukan interval pengamatan yang lebih panjang untuk menjamin penduga yang kami usulkan tetap berdistribusi normal.Kata Kunci: metode momen; distribusi normal; proses Poisson; interval pengamatan terkecil. 2020MSC: 62E17 
Mathematical Model of COVID-19 Spread with Vaccination in Mataram City Hattamurrahman, Muhammad Putra Sani; Sianturi, Paian; Sumarno, Hadi
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 8, No 4 (2024): October
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v8i4.23113

Abstract

The COVID-19 pandemic has had a significant impact on public health worldwide.. Mathematical modeling is considered an alternative tool for understanding real-life problems, including the dynamics of COVID-19 spread. This is an applied research that purpose adds vaccination to Zeb et al. (2020) SEIQR model of COVID-19 spread and examines the dynamic of COVID-19 spread in Mataram City. First, we construct the new model by making assumptions. The fixed point and basic reproduction number (R_0 ) are then used to analyze the model using the next-generation matrix method. The next-generation matrix method is utilized to estimate the R_0 in a compartmental disease model. Two fixed points are acquired, specifically the disease-free fixed point, which is locally asymptotically stable under the condition R_0<1 determined by the Routh Hurwitz criterion via linearization using the Jacobi matrix. And the disease-endemic fixed point, which is locally asymptotically stable under the condition R_0>1 indicated by Lyapunov function. The population dynamics when R_0<1 and R_0>1 can also be observed through numerical simulation. The results of a numerical simulation indicate that giving the proportion of number vaccinated 62 per cent is effective in suppressing the number of infections. 
ANALISIS MODEL EPIDEMIK SVEIR DENGAN CONTINUOUS TIME MARKOV CHAIN (CTMC) PADA PENYAKIT RUBELLA Eliska, Nur; Sumarno, Hadi; Sianturi, Paian
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 15 No 3 (2021): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (669.961 KB) | DOI: 10.30598/barekengvol15iss3pp591-600

Abstract

Penyakit rubella yang dikenal dengan sebutan campak Jerman adalah penyakit menular yang disebabkan oleh virus rubella. Penelitian ini mempelajari model dinamika penyebaran penyakit rubella menggunakan model SVEIR yang merupakan modifikasi dari model yang dikembangkan oleh Beraud dan Saito, dengan pendekatan stokastik CTMC. Simulasi dilakukan untuk mengamati pengaruh perubahan: nilai awal, laju infeksi ( ), tingkat efektivitas vaksin ( ), dan laju vaksinasi ( ). Berdasarkan hasil simulasi diperoleh bahwa, perubahan nilai awal mempengaruhi peluang terjadinya wabah. Semakin tinggi laju sembuh dapat menurunkan peluang wabah. Sedangkan semakin tinggi tingkat efektivitas vaksin dan laju vaksinasi menyebabkan nilai semakin rendah serta nilai peluang wabah yang cukup kecil; artinya peluang bebas penyakit semakin besar dan menghilangnya penyakit rubella dari sistem
ANALISIS SUPPORT VECTOR REGRESSION DENGAN ALGORITMA GRID SEARCH UNTUK MEMPREDIKSI HARGA SAHAM Hermawan, Andri; Mangku, I Wayan; Ardana, N. K. Kutha; Sumarno, Hadi
MILANG Journal of Mathematics and Its Applications Vol. 18 No. 1 (2022): MILANG Journal of Mathematics and Its Applications
Publisher : School of Data Science, Mathematics and Informatics, IPB University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29244/milang.18.1.41-60

Abstract

Pada artikel ini dikaji suatu metode yang dapat digunakan untuk meramalkan harga saham. Tujuan dari penelitian ini adalah memperkenalkan metode Support Vector Regression dengan Algoritma Grid Search untuk memprediksi harga saham INDF dan MYOR serta melakukan peramalan satu periode ke depan pada kedua perusahaan tersebut. Hasil kajian menghasilkan model prediksi terbaik untuk data saham INDF dengan nilai MAPE dan pada data testing berturut-turut sebesar 5.570% dan 79.9%, sedangkan untuk data saham MYOR diperoleh nilai MAPE dan pada data testing berturut-turut sebesar 2.954% dan 96%. Hasil penelitian juga menunjukkan prediksi harga saham INDF dan MYOR untuk satu periode selanjutnya (31 Desember 2021) berturut-turut sebesar Rp 6326.88/lembar dan Rp 2039.31/lembar.
PENGARUH LAJU PENULARAN PENYAKIT DAN RATA-RATA KONTAK INDIVIDU PADA MODEL KO-INFEKSI HIV/AIDS DAN CACAR MONYET (MONKEYPOX) Luthfiani, Dini Dessya; Sianturi, Paian; Ali Kusnanto; Sumarno, Hadi
MILANG Journal of Mathematics and Its Applications Vol. 18 No. 1 (2022): MILANG Journal of Mathematics and Its Applications
Publisher : School of Data Science, Mathematics and Informatics, IPB University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29244/milang.18.1.29-39

Abstract

Cacar monyet (monkeypox) adalah penyakit akibat virus yang ditularkan melalui binatang. Penularan virus cacar monyet ke manusia dari hewan seperti monyet dan hewan pengerat terjadi melalui kontak langsung atau mengonsumsi daging hewan liar yang terkontaminasi. Dalam model ini, populasi hewan dibagi menjadi tiga subpopulasi dan populasi manusia dibagi menjadi sembilan subpopulasi. Hasil analisis diperoleh titik tetap bebas penyakit dan titik tetap endemik. Hasil analisis sensitivitas menunjukkan bahwa pengaruh laju penularan penyakit dan rata-rata kontak individu merupakan parameter yang paling berpengaruh dalam model. Dengan simulasi numerik, ditunjukkan juga bahwa penurunan laju penularan dan kontak individu berimplikasi pada penurunan bilangan reproduksi dasar. Secara berangsur-angsur, tingkat populasi individu terinfeksi akan turun. Dus, pengontrolan kedua faktor tersebut akan mengakibatkan penyebaran penyakit cacar monyet terkendali.
KAJIAN PENDUGA FUNGSI RAGAM PROSES POISSON PERIODIK MAJEMUK DENGAN TREN FUNGSI PANGKAT Fajri, Ahmad; Mangku, I Wayan; Hadi Sumarno
MILANG Journal of Mathematics and Its Applications Vol. 18 No. 2 (2022): MILANG Journal of Mathematics and Its Applications
Publisher : School of Data Science, Mathematics and Informatics, IPB University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29244/milang.18.2.87-97

Abstract

Pada artikel ini dibahas tentang pendugaan fungsi ragam pada proses Poisson periodik majemuk yang mempertimbangkan kehadiran tren fungsi pangkat. Penulisan artikel ini bertujuan untuk mengonstruksi penduga, memeriksa kekonsistenan penduga, menganalisis bias, ragam dan mean squared error (MSE) asimtotik penduga, serta menentukan ukuran interval pengamatan proses terpendek sehingga nilai dugaan yang diperoleh sudah mendekati parameter yang diduga menggunakan simulasi komputer. Hasil kajian yang telah diperoleh berupa rumusan penduga fungsi ragam, syarat-syarat agar penduga yang dirumuskan kokonsisten, rumusan bias asimtotik, ragam asimtotik dan MSE asimtotik penduga. Berdasarkan hasil simulasi diperoleh bahwa penduga sudah mendekati nilai parameter yang diduga jika panjang interval waktu pengamatan adalah 5500.
Co-Authors Abdur Rohman Ahmad Fajri Ahmad Fajri Ali Kusnanto Andri Hermawan Andri Hermawan, Andri Annisa, Mutia Ardana, N. K. Kutha Ardana, Ngakan Komang Kutha Benediktus Nugroho Adi Wiyoto Budi Suharjo Cherry Galatia Ballangan Dadang Jaenudin Dadang Rahmat Nugraha Dilla Afriansyah Dini Dessya Luthfiani Eliska, Nur Euis Sunarti Fatimatuzzahroh Fitri Nurjanah Hardianti, Wiwik Tri Hattamurrahman, Muhammad Putra Sani I Gusti Putu Purnaba I Wayan Mangku Intan Islamia Intan Islamia Jaharuddin Jaharuddin, Jaharuddin Jonathan Ryan Wilianto Luthfiani, Dini Dessya M Agus Setiadi Mutia Annisa N. K. Kutha Ardana Nashiruddin, Muhammad Abdurrasyid Niswah Yanfa Nabilah Syams Nugraha, Dadang Rahmat Nur Aziezah Nurul Indah Safitri Paian Sianturi Praptaningsih, Anggun Putri, Nurul Qorima Retno Budiarti Rismawati, Dillah Ruhiyat Ruhiyat Ruhiyat Safitri, Nurul Indah Sri Rahayu Taufik, Akmal Valentinna, Arindria Sekar Putri Wiyoto, Benediktus Nugroho Adi Yolwi Dyatma Yolwi Dyatma