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All Journal Jurnal Statistika Universitas Muhammadiyah Semarang JMPM: Jurnal Matematika dan Pendidikan Matematika Desimal: Jurnal Matematika BAREKENG: Jurnal Ilmu Matematika dan Terapan Dinamisia: Jurnal Pengabdian Kepada Masyarakat JTAM (Jurnal Teori dan Aplikasi Matematika) Jurnal Penelitian dan Pengabdian Kepada Masyarakat UNSIQ Jambura Journal of Mathematics Jurnal Matematika UNAND Variance : Journal of Statistics and Its Applications ILKOMNIKA: Journal of Computer Science and Applied Informatics InPrime: Indonesian Journal Of Pure And Applied Mathematics Jurnal Statistika dan Aplikasinya Jambura Journal of Mathematics Education Indonesian Journal of Applied Research (IJAR) JAMBURA JOURNAL OF PROBABILITY AND STATISTICS Jurnal Diferensial Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi International Journal of Health, Economics, and Social Sciences (IJHESS) Griya Journal of Mathematics Education and Application Unnes Journal of Mathematics MATHunesa: Jurnal Ilmiah Matematika Journal of Fundamental Mathematics and Applications (JFMA) Research in the Mathematical and Natural Sciences Research Review: Jurnal Ilmiah Multidisiplin Pattimura International Journal of Mathematics (PIJMath) Bulletin of Applied Mathematics and Mathematics Education Jurnal Riset Mahasiswa Matematika Jurnal Pengabdian Pada Masyarakat Indonesian Journal of Mathematics and Applications Hexagon: Jurnal Ilmu dan Pendidikan Matematika Journal of Mathematics, Computation and Statistics (JMATHCOS) System Information and Computer Technology (SYNCTECH) Indonesian Journal of Computational and Applied Mathematics
Salmun K. Nasib
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Pengelompokkan Tindakan Kriminalitas di Indonesia dengan K-Medoids Menggunakan Algoritma Artificial Bee Colony Adinda Pratiwi Musa; Novianita Achmad; Salmun K. Nasib
System Information and Computer Technology (SYNCTECH) Vol. 2 No. 1 (2026): February
Publisher : Subaltren Inti Media

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

This research aims to classify regional police forces in Indonesia based on the level and characteristics of criminal activity by applying the K-Medoids method optimized using the Artificial Bee Colony (ABC) algorithm. This grouping is intended to identify the dominant crime patterns in each region and evaluate the effectiveness of the methods used in producing representative clusters. The analysis results show that the K-Medoids-ABC method produces three main clusters, with the distribution of each consisting of 7 regional police departments in cluster 1, 5 regional police departments in cluster 2, and 21 regional police departments in cluster 3. Cluster validation using the Silhouette Index (SI) yielded a value of 0.387, indicating that the clustering results fall into the weak structure category, meaning the cluster structure is formed but with weak separation (Weak Separation). Cluster 1 shows a moderate and relatively even crime rate, Cluster 2 is dominated by crimes against life and crimes of fraud, embezzlement, and corruption, while Cluster 3 shows low values across all variables, with the lowest values for violent property crimes and drug-related crimes. This cluster reflects regions with relatively safe conditions, as evidenced by very low crime rates. These differences in characteristics between clusters reflect the diversity of factors causing crime in each region and have important implications for formulating more contextual and targeted crime prevention strategies.
Penerapan Model ARFIMA-LSTM Menggunakan Variasi Estimasi Parameter Pembeda Dalam Meramalkan data IHPBI Trieke Nurfadilah Harun; Ismail Djakaria; Nisky Imansyah Yahya; Salmun K Nasib; Isran K Hasan
Jurnal Riset Mahasiswa Matematika Vol 4, No 5 (2025): Jurnal Riset Mahasiswa Matematika
Publisher : Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/jrmm.v4i5.33303

Abstract

Indeks Harga Perdagangan Besar Indonesia (IHPBI) merupakan indikator penting dalam mengukur perkembangan ekonomi, khususnya pada sektor pertanian yang memiliki pengaruh besar terhadap daya beli masyarakat. Fluktuasi harga di sektor ini berdampak langsung pada kesejahteraan konsumen dan produsen, sehingga diperlukan metode peramalan yang akurat. Penelitian ini bertujuan untuk meramalkan IHPBI sektor pertanian menggunakan pendekatan hybrid Autoregressive Fractionally Integrated Moving Average (ARFIMA) dan Long Short-Term Memory (LSTM), serta membandingkan performa  metode estimasi parameter pembeda terbaik. Model ARFIMA digunakan untuk menangani komponen stasioner dan pola jangka panjang melalui diferensiasi pecahan, sedangkan LSTM digunakan untuk menangkap pola nonlinier dalam data. Keterbaruan dalam penelitian ini adalah membandingkan parameter pembeda terbaik yaitu Local Whittle dan Rescaled Range Statistics dalam hybrid ARFIMA-LSTM. Hasil dari penelitian yaitu peramalan menunjukkan tren naik IHPBI sektor pertanian selama 12 bulan ke depan. Metode estimasi parameter pembeda terbaik dalam model ARFIMA adalah Rescaled Range Statistics dengan nilai sebesar 0,322. Model hybrid ini menghasilkan nilai MAPE sebesar 0,6337853%, yang menunjukkan tingkat akurasi sangat tinggi.
Anxiety Contributing Factors in College Students during the Final Project: Ordinal Logistic Regression Analysis Ni Wayan Tiarawati; Lailany Yahya; Amanda Adityaningrum; Putri Ayuningtias Mahdang; Nikmatisni Arsad; Siti Nurmardia Abdussamad; Muhammad Rezky Friesta Payu; Salmun K. Nasib
International Journal of Health, Economics, and Social Sciences (IJHESS) (Special Issue) - International Journal of Health, Economics, and Social Sciences (IJHESS) - January
Publisher : Universitas Muhammadiyah Palu

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.56338/ijhess.v7i1.6964

Abstract

The prevalence of anxiety disorders among university students is high, particularly during periods of high stress, such as when students are completing their final projects. This research aimed to investigate how self-confidence and anxiety levels relate among students working on their final projects at the Statistics Department at Universitas Negeri Gorontalo. Research was conducted on 86 students aged 21-26 years old using an online questionnaire. Self-confidence, self-efficacy, and social support were independent variables, while anxiety levels (mild, moderate, and severe) were dependent variables. Self-confidence was found to be significantly correlated with anxiety levels, while self-efficacy and social support were not significantly correlated. The result of ordinal logistic regression analysis indicated that students with high self-confidence were 0.13 times more likely to experience mild or moderate anxiety compared to those with moderate self-confidence. Those with high levels of self-confidence, however, are more likely to suffer from severe anxiety (26%) than those with moderate levels of self-confidence (4%). In certain academic situations, high self-confidence may not be a hindrance against anxiety. A more comprehensive understanding of anxiety will require further research considering additional factors that contribute to anxiety, factors that were not considered in this study.
Penjadwalan Mata Pelajaran Menggunakan Metode Integer Linear Programming di SMA Negeri 1 Tilango Fitria Djafar; Muhammad Rifai Katili; Salmun K Nasib; Nurwan Nurwan; Djihad Wungguli; Armayani Arsal
Research in the Mathematical and Natural Sciences Vol. 4 No. 1 (2025): November 2024-April 2025
Publisher : Scimadly Publishing

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55657/rmns.v4i1.200

Abstract

Penjadwalan mata pelajaran secara optimal sangat penting untuk memastikan kelancaran kegiatan belajar dan mengajar. Di SMA Negeri 1 Tilango, penjadwalan yang dilakukan secara manual oleh pihak kurikulum cenderung memakan waktu yang cukup lama, sehingga sering terjadi bentrok antar mata pelajaran pada waktu yang bersamaan. Proses penjadwalan manual ini cukup sulit karena harus memenuhi semua aturan dan kebijakan sekolah yang berlaku. Untuk mengatasi tantangan tersebut, digunakan metode integer linear programming (ILP) yang dapat membantu menyusun jadwal mata pelajaran secara lebih efisien dan terstruktur. Penelitian ini bertujuan untuk menghasilkan jadwal mata pelajaran yang ideal dengan meminimalkan total bobot pelajaran, hari, dan waktu menggunakan metode ILP. Penyusunan jadwal diselesaikan dengan bantuan software Lingo 18.0. Hasil penelitian menunjukkan bahwa jadwal yang dihasilkan dengan metode ILP lebih optimal dibandingkan dengan penjadwalan manual, karena mampu memenuhi semua batasan dan kendala yang telah ditentukan oleh sekolah..
Pengelompokan Data Stunting di Indonesia Menggunakan Metode X-Means dan Agglomerative Hierarchical Clustering Nur Dhea Wahab; Salmun K. Nasib; Nurwan; Djihad Wungguli; Nisky Imansyah Yahya
Research in the Mathematical and Natural Sciences Vol. 4 No. 1 (2025): November 2024-April 2025
Publisher : Scimadly Publishing

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55657/rmns.v4i1.201

Abstract

Stunting is one of the serious problems that threaten the quality of human resources in Indonesia. This study aims to analyze the patterns and characteristics of stunting in Indonesia by applying the X-Means clustering method and Agglomerative Hierarchical Clustering (AHC). The X-Means method is used to determine the optimal number of clusters automatically by utilizing the Bayesian Information Criterion (BIC), while AHC forms a dendrogram to understand the multilevel structure of the clusters formed. Based on the analysis, the X-Means method produces three optimal clusters with the smallest BIC value of 651.9475, where cluster 1 consists of 17 provinces, cluster 2 includes 12 provinces, and cluster 3 includes 5 provinces. The AHC method with the Single Linkage approach also produced three optimal clusters, with cluster 1 covering 32 provinces, cluster 2 consisting of 1 province (West Nusa Tenggara), and cluster 3 covering 1 province (East Nusa Tenggara), as well as the highest Silhouette Index value of 0.28. The results show that both methods provide a comprehensive picture of stunting patterns in Indonesia, which can be used as a basis for designing more targeted intervention programs according to the characteristics of each cluster. This data-driven strategy is expected to increase policy effectiveness in reducing stunting in Indonesia.
Pemilihan Metode Optimal Untuk Prediksi Angka Kemiskinan Di Provinsi Gorontalo: Perbandingan Double Exponential Smoothing dan Bayesian Structural Time Series Meitasya wolah; Salmun K. Nasib; Armayani Arsal; Isran K. Hasan; Asriadi; Siti Nurmardia Abdussamad
Research in the Mathematical and Natural Sciences Vol. 4 No. 1 (2025): November 2024-April 2025
Publisher : Scimadly Publishing

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55657/rmns.v4i1.202

Abstract

Kajian ini mengevaluasi angka kemiskinan di Indonesia yang masih tinggi dengan fokus pada Provinsi Gorontalo yang menjadi urutan kelima sebagai provinsi termiskin di Indoneisa. Meskipun angka kemiskinan ekstrem nasional menurun menjadi 1,12% pada Maret 2023, Gorontalo mencatat masih 183,71 ribu penduduk miskin dengan garis kemiskinan per kapita sebesar Rp 442.194. Tujuan penelitian ini untuk membandingkan dua teknik peramalan, yaitu Bayesian Structural Time Series (BSTS) dan Double Exponential Smoothing (DES) untuk menilai efektivitas masing-masing metode dalam memprediksi angka kemiskinan di Provinsi Gorontalo. Hasil analisis menunjukkan bahwa model Double Exponential Smoothing (DES) memiliki Mean Absolute Percentage Error (MAPE) sebesar 6,6%, lebih rendah dibandingkan MAPE Bayesian Structural Time Series (BSTS) yang mencapai 7,39%. MAPE yang lebih rendah pada Double Exponential Smoothing (DES) menunjukkan kemampuannya yang lebih baik dalam mengidentifikasi pola data dan menghasilkan perkiraan yang lebih akurat. Meskipun BSTS mampu menangkap komponen musiman dan Trend dengan teknik probabilistik yang canggih, hasil ini menegaskan bahwa Double Exponential Smoothing (DES) adalah metode yang lebih efektif untuk memprediksi angka kemiskinan di Provinsi Gorontalo.
Bilangan Terhubung Pelangi pada Graf Tengah (M(G)) dari Graf Ulat (C_(m,2)) Fuji Fauzia Kiayi; Sumarno Ismail; Nisky Imansyah Yahya; Lailany Yahya; Salmun K. Nasib
Research in the Mathematical and Natural Sciences Vol. 4 No. 1 (2025): November 2024-April 2025
Publisher : Scimadly Publishing

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55657/rmns.v4i1.204

Abstract

Edge coloring of a graph is considered rainbow connected if the graph is connected and a rainbow path exists for every pair of points. The rainbow connection number of a graph, denoted as , represents the smallest number of colors required to make the graph is rainbow connected. This study examines the rainbow connection number of the middle graph of a caterpillar graph. The middle graph is a modified result of a graph , denoted as . It is described as a graph constructed from the intersection of a set of points and edges. The set of points in the middle graph consists of the combination of points and edges of the graph . Two points are considered adjacent if only they are connected in , or if one point corresponds to a point and the other corresponds to an edge adjacent to it. A caterpillar graph denoted by is a tree that will be a path if all the leaf points are deleted. The results of this research show the rainbow-connected number theorem for the middle graph of the caterpillar graph for .
Analisis Sensitivitas Model Linear Programming Untuk Optimalisasi Produksi Pia Cendana Menggunakan Metode Branch and Bound Novarianti Firdaus; Salmun K. Nasib; Djihad Wungguli
Research in the Mathematical and Natural Sciences Vol. 4 No. 2 (2025): May-October 2025
Publisher : Scimadly Publishing

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55657/rmns.v4i2.273

Abstract

This study aims to optimize the production of Pia Cendana enterprise using a linear programming model based on the Branch and Bound method. In order to achieve maximum profit, a mathematical formulation is constructed, including an objective function and constraint functions based on data regarding raw material composition, resource availability, production costs, and selling prices of each product variant. The Branch and Bound method was applied to obtain an optimal solution in the form of integers that are operationally valid. In addition, a sensitivity analysis was conducted to evaluate the impact of changes in coefficients within the objective function and constraints on the optimal solution. The findings show that the Pia Cendana enterprise can achieve an optimal profit of IDR 1,620,000 or 1.86 % per month. This amount is higher than the previous actual profit of only IDR 86,888,000, indicating a profit increase of IDR 88,508,000. The study indicates that this method improves resource efficiency and yields more profitable production. The optimal solution demonstrates that production can be increased while still considering capacity and raw material limitations. The sensitivity analysis also proves that the model is sufficiently stable against parameter variations. This study provides practical contributions to Pia Cendana enterprise in formulating more efficient and profitable production strategies.
ANALISIS PERPINDAHAN MEREK DAN STRATEGI PEMASARAN UMKM MENGGUNAKAN METODE RANTAI MARKOV DAN TEORI PERMAINAN Karmila Mokoginta; Salmun K. Nasib; Ismail Djakaria; Djihad Wungguli
MATHunesa: Jurnal Ilmiah Matematika Vol. 12 No. 01 (2024)
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/mathunesa.v12n1.p57-66

Abstract

Usaha mikro, kecil dan menyengah (UMKM) merupakan kegiatan usaha yang mampu memperluas lapangan kerja dan memberikan pelayanan ekonomi yang luas pada masyarakat. Di provinsi Gorontalo, UMKM berkembang semakin pesat. Banyaknya pilihan UMKM berdampak pada tingkat keinginan konsumen terhadap suatu produk sehingga konsumen berpeluang untuk melakukan perpindahan merek. Dalam mengatasi masalah perpindahan merek, para pelaku UMKM harus memilih strategi pemasaran yang tepat, sehingga dapat mempertahankan dan meningkatkan minat pelanggan. Tujuan penelitian ini adalah untuk menganalisis perpindahan pelanggan dan strategi pemasaran UMKM di Temu Social Space Gorontalo menggunakan metode rantai markov dan teori permainan. UMKM yang dimaksud adalah Drinking Of You (DOY), Mhimhithaitea dan Sruput. Hasil penelitian menunjukkan perpindahan pelanggan dari Drinking Of You (DOY) ke Mhimhithaitea sebesar 0,143, Mhimhithaitea ke Drinking Of You (DOY) sebesar 0,120, Drinking Of You (DOY) ke Sruput sebesar 0,032, Sruput ke Drinking Of You (DOY) sebesar 0,167, Mhimhithaitea ke Sruput sebesar 0,200, Sruput ke Mhimhithaitea sebesar 0,250. Sementara itu, strategi pemasaran optimal Drinking Of You (DOY) adalah promosi dan kualitas rasa. Strategi pemasaran optimal Mhimhithaitea adalah harga, kualitas rasa dan pelayanan. Strategi pemasaran optimal Sruput adalah kualitas rasa dan kemasan.
Co-Authors Abas Kaluku Abdul Wahab Abdullah Adam, Dwi Putri Juniar Adinda Pratiwi Musa Afifah Farhanah Akadji Agusyarif Rezka Nuha Ainun Sukmawati Al Idrus Akadji, Afifah Farhanah Al Idrus, Ainun Sukmawati Amanda Adityaningrum Ana Nadiyyah Armayani Arsal Asriadi Asriadi Asriadi Asriadi Asriadi Asriadi Biduli, Meiske Cindy Aisa Putri Noor Dewi Rahmawaty Isa Djahara A. Nusi Djihad Wungguli Fadilah Istiqomah Pammus Fatmawati, Ainun Fitria Djafar Fuji Fauzia Kiayi Gani, Friansyah Hasan S. Panigoro Hasan, Riyanto Hinelo, Ikrar Prasetyo I Wayan Can Aryasandi Imran, Nurain Indrawati Lihawa Isa, Jefri N. Ismail Djakaria Isran K Hasan Isran K. Hasan Isran K. Hasan Jusuf, Anryan Karmila Mokoginta Kasim, Afrianto Pratama La Ode Nashar Lailany Yahya Lakisa, Narti Macmud, Tedy Madonsa, Muhammad Rifai Mahmud, Sri Lestari Mahrifat Ismail Marukai, Nur Amalia Meitasya wolah Mohamad Taufik Hamani Mokodompit, Marcela Muhammad Rezky F. Payu Muhammad Rifai Katili Nathania Oktavia Gunawan Naue, Siti Nurmeylisya Ni Wayan Tiarawati Nikmatisni Arsad Ningsih, Setia Nisky Imansyah Yahya Nisky Imansyah Yahya Nisky Imansyah Yahya NISKY IMANSYAH YAHYA Nisky Imansyah Yahya Nisky Imansyah Yahya Novarianti Firdaus Nur Dhea Wahab Nurwan Nurwan Nurwan Nurwan, Nurwan Nur’ain Manoppo Putri Ayuningtias Mahdang Rahmi, Emli Rakhmat Jaya Lahay Rauf, Dewi Nur Angriani Resmawan Resmawan Rizal Usman Saiful Pomahiya Sembiring, Rinawati Sigar, Tesya Siti Nurmardia Abdussamad Stella Junus Sumarno Ismail Sumarno Ismail Syahrizal Koem Taha, Dennynatalis Trieke Nurfadilah Harun Yanuari, Eka Dicky D Zian Bula