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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 Journal of Fundamental Mathematics and Applications (JFMA) Research in the Mathematical and Natural Sciences 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) Indonesian Journal of Computational and Applied Mathematics
Salmun K. Nasib
Universitas Negeri Gorontalo
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ANALISIS PERPINDAHAN PENGGUNAAN APLIKASI TRANSPORTASI ONLINE MENGGUNAKAN RANTAI MARKOV Salmun K. Nasib; Nurwan Nurwan; I Wayan Can Aryasandi; Isran K. Hasan; Asriadi Asriadi
Jurnal Matematika UNAND Vol 13, No 1 (2024)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.13.1.26-40.2024

Abstract

The purpose of this study is to find out the opportunities for switching to the use of online transportation applications and predict the future use of online transportation applications by Gorontalo State University students using the Markov chain. The data used in this study are primary data obtained through questionnaires. The results of the prediction of the proportion for future market share show that the proportion of users of the Maxim transportation application is 82.89%, Grab is 7.75%, Gojek is 5.06% and InDriver is 4.48%.
Analisis Peluang Jangka Panjang Mesin Penggilingan Padi Menggunakan Rantai Markov Nasib, Salmun K.; Hasan, Riyanto; Djakaria, Ismail; Payu, Muhammad Rezky Friesta; Nuha, Agusyarif Rezka; Nashar, La Ode
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 12 Issue 1 June 2024
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v12i1.25280

Abstract

The reliability of the machinery greatly affects the long-term potential of the grinding of pepper in Mustika village, Paguyaman district, and Boalemo district. The smoothness of the production process depends heavily on the condition of the machine, and if the machine's reliability is disrupted, then it will affect production. The purpose of this study is to determine the probability of the steady state of the machine and the timing of the maintenance of the grinding machine in the Mustika Village of Boalemo district. The Markov chain is a method used to deal with the purpose, whereas the Markov chain is the method used for predicting future events. The final result was an ergodic transition chance matrix, resulting in an estimated best maintenance time of 28 days of use with a steady state chance of 62.27\% of the machine being in good condition, 27.8\% in mild damage, and 9.93\% in severe damage.
Existence and Uniqueness of Fixed Point for Cyclic Mappings in Quasi-αb-Metric Spaces Al Idrus, Ainun Sukmawati; Resmawan, Resmawan; Payu, Muhammad Rezky Friesta; Nasib, Salmun K.; Asriadi, Asriadi
InPrime: Indonesian Journal of Pure and Applied Mathematics Vol 4, No 1 (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.v4i1.24462

Abstract

The fixed point theory remains the most important and preferred topic studied in mathematical analysis. This study discusses sufficient conditions to prove a unique fixed point in quasi-αb-metric spaces with cyclic mapping. The analysis starts by showing fulfillment of the cyclic Banach contraction and proving the Cauchy sequence as a condition for proving a unique fixed point in quasi-αb-metric spaces with cyclic mapping. Furthermore, it's shown that the cyclic mappings, T have a unique fixed point in quasi-αb-metric spaces. Finally, an example is given to strengthen the proof of the theorems that have been done.Keywords: fixed point theory; Quasi -Metric spaces; Cyclic Banach Contraction; Cauchy sequence. AbstrakTeori titik tetap termasuk salah satu topik penting dan menarik untuk diteliti pada bidang analisis. Pada penelitian ini, dibahas tentang syarat cukup dalam membuktikan bahwa terdapat titik tetap tunggal dalam ruang quasi- b-metrik pada pemetaan siklik. Analisis diawali dengan menunjukkan pemenuhan kondisi kontraksi Banach siklik dan pembuktian barisan Cauchy sebagai syarat pembuktian bahwa terdapat titik tetap tunggal pada pemetaan siklik dalam ruang quasi- b-metrik. Selanjutnya ditunjukkan bahwa pemetaan siklik  memiliki titik tetap tunggal dalam ruang quasi b-metrik. Terakhir, diberikan contoh untuk memperkuat pembuktian teorema yang telah dilakukan.Kata Kunci: teori titik tetap; ruang Quasi -Metrik; Kontraksi Banach Siklik; barisan Cauchy.
Anxiety Contributing Factors in College Students during the Final Project: Ordinal Logistic Regression Analysis Tiarawati, Ni Wayan; Yahya, Lailany; Adityaningrum, Amanda; Mahdang, Putri Ayuningtias; Arsad, Nikmatisni; Abdussamad, Siti Nurmardia; Payu, Muhammad Rezky Friesta; Nasib, Salmun K.
International Journal of Health, Economics, and Social Sciences (IJHESS) Vol. 7 No. 1: January 2025
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.
Bilangan Terhubung Pelangi pada Graf Ferris Wheel (Fw_n) Lakisa, Narti; Nurwan, Nurwan; Nasib, Salmun K.; Yahya, Nisky Imansyah
JMPM: Jurnal Matematika dan Pendidikan Matematika Vol 7 No 1 (2022): March - August 2022
Publisher : Prodi Pendidikan Matematika Universitas Pesantren Tinggi Darul Ulum Jombang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26594/jmpm.v7i1.2337

Abstract

Pada penelitian ini didefinisikan graf baru yang dinamakan graf ferris wheel yang dinotasikan dengan Fw_n. Graf ferris wheel dengan 2n+1 titik dan 5n sisi dihasilkan dengan menggabungkan dua buah graf yaitu graf lingkaran dan graf roda dengan menambahkan sisi sebanyak 2n. Tujuan dari penelitian ini adalah menentukan bilangan terhubung pelangi pada graf ferris wheel dengan bilangan bulat positif n>=3 dengan langkah-langkah; menggambar graf ferris wheel, menentukan bilangan terhubung pelangi dan membuktikan teorema bilangan terhubung pelangi pada graf ferris wheel. Metode dalam penelitian ini adalah studi literatur. Hasilnya diperoleh bilangan terhubung pelangi pada graf ferris wheel yaitu rc(Fw_3 atau Fw_4)=2, rc(Fw_5 atau Fw_6)=3, rc(Fw_7 atau Fw_8)=4, rc(Fw_9 atau Fw_10)=5, dan rc(Fw_n)=j+6 jika n=3j+11, 3j+12, dan 3j+13 untuk j>=0
Karakteristik Rantai Markov pada Data Curah Hujan Bulanan Stasiun Djalaluddin Nasib, Salmun K; Nurwan, Nurwan; Yanuari, Eka Dicky D; Macmud, Tedy
JMPM: Jurnal Matematika dan Pendidikan Matematika Vol 7 No 2 (2022): September 2022 - February 2023
Publisher : Prodi Pendidikan Matematika Universitas Pesantren Tinggi Darul Ulum Jombang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26594/jmpm.v7i2.2654

Abstract

Penelitian ini bertujuan untuk menganalisis karakteristik model rantai Markov pada data curah hujan bulanan. Data curah hujan bulanan dibagi dalam tiga state yaitu kering, lembab, dan basah. Sebagian besar data terkategorikan pada state 3 yaitu kondisi basah sebesar 54,41%. Berdasarkan hasil evaluasi data curah hujan di Stasiun Djalaluddin, memiliki curah hujan yang cukup tinggi dengan presentase diatas 50%. Peluang transisi tertinggi adalah  sebesar 61,9% dimana peluang transisi dari kondisi basah kembali ke kondisi basah lebih besar daripada peluang menuju kondisi kering atau lembab. Karakteristik rantai Markov data curah hujan bulanan menunjukkan kondisi yang tidak stabil dan kecilnya peluang transisi untuk berpindah ke kondisi lainnya.
Penjadwalan Mata Pelajaran Menggunakan Metode Integer Linear Programming di SMA Negeri 1 Tilango Djafar, Fitria; Katili, Muhammad Rifai; Nasib, Salmun K; Nurwan, Nurwan; Wungguli, Djihad; Arsal, Armayani
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 Wahab, Nur Dhea; Nasib, Salmun K.; Nurwan; Wungguli, Djihad; Yahya, Nisky Imansyah
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 wolah, Meitasya; Nasib, Salmun K.; Arsal, Armayani; Hasan, Isran K.; Asriadi; Abdussamad, Siti Nurmardia
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)) Kiayi, Fuji Fauzia; Ismail, Sumarno; Yahya, Nisky Imansyah; Yahya, Lailany; Nasib, Salmun K.
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 .
Co-Authors Abas Kaluku Abdul Wahab Abdullah Adam, Dwi Putri Juniar Afifah Farhanah Akadji Agusyarif Rezka Nuha Ainun Sukmawati Al Idrus Akadji, Afifah Farhanah Al Idrus, Ainun Sukmawati Armayani Arsal Asriadi Asriadi Asriadi Asriadi Biduli, Meiske Cindy Aisa Putri Noor Dewi Rahmawaty Isa Djafar, Fitria Djihad Wungguli Fadilah Istiqomah Pammus Fatmawati, Ainun Firdaus, Novarianti Gani, Friansyah Hamani, Mohamad Taufik Harun, Trieke Nurfadilah Hasan S. Panigoro Hasan, Riyanto Hinelo, Ikrar Prasetyo I Wayan Can Aryasandi Imran, Nurain Indrawati Lihawa Isa, Jefri N. Ismail Djakaria Isran K Hasan Jusuf, Anryan Kasim, Afrianto Pratama Kiayi, Fuji Fauzia La Ode Nashar Lailany Yahya Lakisa, Narti Macmud, Tedy Madonsa, Muhammad Rifai Mahmud, Sri Lestari Mahrifat Ismail Marukai, Nur Amalia Mokodompit, Marcela Muhammad Rifai Katili Nadiyyah, Ana Naue, Siti Nurmeylisya Nikmatisni Arsad Ningsih, Setia NISKY IMANSYAH YAHYA Nurwan Nurwan Nurwan Nurwan Nurwan Nurwan, Nurwan Pomahiya, Saiful Putri Ayuningtias Mahdang Rahmi, Emli Rakhmat Jaya Lahay Rauf, Dewi Nur Angriani Resmawan Resmawan Sembiring, Rinawati Sigar, Tesya Siti Nurmardia Abdussamad Stella Junus Sumarno Ismail Syahrizal Koem Taha, Dennynatalis Tiarawati, Ni Wayan Wahab, Nur Dhea wolah, Meitasya Yanuari, Eka Dicky D Zian Bula