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All Journal Jurnal Gaussian JURNAL DERIVAT: JURNAL MATEMATIKA DAN PENDIDIKAN MATEMATIKA Journal of Mathematics Education and Application (JMEA) SIGMA: Jurnal Pendidikan Matematika Jurnal Sains Matematika dan Statistika AKSIOMA Jurnal Matematika Sains dan Teknologi BAREKENG: Jurnal Ilmu Matematika dan Terapan Teorema: Teori dan Riset Matematika Sainmatika: Jurnal Ilmiah Matematika dan Ilmu Pengetahuan Alam Jambura Journal of Mathematics Transformasi : Jurnal Pendidikan Matematika dan Matematika Variance : Journal of Statistics and Its Applications ILKOMNIKA: Journal of Computer Science and Applied Informatics Jambura Journal of Mathematics Education JAMBURA JOURNAL OF PROBABILITY AND STATISTICS Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Griya Journal of Mathematics Education and Application JES-MAT (Jurnal Edukasi dan Sains Matematika) MATHunesa: Jurnal Ilmiah Matematika Research in the Mathematical and Natural Sciences Research Review: Jurnal Ilmiah Multidisiplin Milang Journal of Mathematics and Its Applications PIJAR: Jurnal Pendidikan dan Pengajaran Jurnal Riset Mahasiswa Matematika Euclid Jurnal Ilmiah Ekonomi dan Manajemen Journal of Mathematics, Computation and Statistics (JMATHCOS) Bilangan: Jurnal Ilmiah Matematika, Kebumian dan Angkasa Algoritma: Jurnal Matematika, Ilmu Pengetahuan Alam, Kebumian dan Angkasa Limits: Journal of Mathematics and Its Applications Indonesian Journal of Computational and Applied Mathematics
Djihad Wungguli
UNIVERSITAS NEGERI GORONTALO
Agriculture, Biological Sciences & Forestry Humanities Astronomy Chemistry Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Earth & Planetary Sciences Economics, Econometrics & Finance Education Energy Engineering Environmental Science Languange, Linguistic, Communication & Media Mathematics Mechanical Engineering Physics Social Sciences Transportation Other

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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.
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.
Optimasi Green Vehicle Routing Problem with Time Windows (G-VRTW) dengan Menggunakan Algoritma Genetika: Studi Kasus Depo Alfamart Gorontalo Sartika Husain; Djihad Wungguli; Ismail Djakaria; Moh. Rifai Katili; Asriadi Asriadi
Algoritma : Jurnal Matematika, Ilmu pengetahuan Alam, Kebumian dan Angkasa Vol. 4 No. 5 (2026): Algoritma : Jurnal Matematika, Ilmu pengetahuan Alam, Kebumian dan Angkasa
Publisher : Asosiasi Riset Ilmu Matematika dan Sains Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62383/algoritma.v4i5.1061

Abstract

The development of the modern retail industry has increased goods distribution activities, creating a need for efficient and environmentally friendly distribution systems. This study aims to optimize distribution routes at the Gorontalo Alfamart Distribution Depot using the Green Vehicle Routing Problem with Time Windows (G-VRPTW) model by considering vehicle capacity, service time windows, load-dependent fuel consumption, and vehicle carbon emissions. The model is solved using a Genetic Algorithm as a metaheuristic method. The solution is represented using permutation encoding, with optimization stages consisting of initial population generation, selection, crossover, mutation, and fitness evaluation. The research data were obtained from the distribution system of the Gorontalo Alfamart Distribution Depot. The optimization results show that the Genetic Algorithm produces more efficient routes than the company's actual routes. The total travel distance was reduced from 1,075.24 km to 774.69 km, representing a reduction of 27.95%, while fuel consumption decreased from 65.124 L to 45.4573 L, representing a reduction of 30.20%. Accordingly, estimated carbon emissions decreased from 165.413 kg CO₂ to 115.4619 kg CO₂, representing a reduction of 30.20%. These results indicate that the developed G-VRPTW model based on the Genetic Algorithm can support the implementation of green logistics by improving distribution efficiency and reducing environmental impacts.
Co-Authors Adisti Dayo Agusyarif Rezka Nuha Ahmad, Rindawati Alamri, Fahima Aliwu, Randa Resvitasari Alya Haja Amanda Adityaningrum Armayani Arsal Armayani Arsal Asriadi Asriadi Asriadi Asriadi Asriadi Asriadi, Asriadi B. P. SILALAHI Bertu Rianto Takaendengan Daud, Sriwati M. Dewi Rahmawaty Isa Dina Zulfiana Matiyeni Elsa Ekaputri Utina Fenly B Mohamad Fitria Djafar Frista Delia Ghivahri Sidik Mokoagow Hanz Franklyn Bachruddin Wewengkang Hasan S. Panigoro Ibrahim, Novita Isa, Jefri N. Ismail Djakaria Ismail Saputra R. Harmain Isran K Hasan K. Hasan, Isran K. Nasib, Salmun Karina Anselia Mamonto Karman Tambiyo Karmila Mokoginta Kasim, Afrianto Pratama Kintan Sakinah Kaluku Kurniasari Abram La Ode Nashar Lailany Yahya Latif, Sintia Abdul Lindrawati Abdjul Loleh, Linda Purnama Sari Mahmud, Sri Lestari Marukai, Nur Amalia Meilan Sigar Meldawati Moh. Rifai Katili Mohamad, Rini Wahyuni Mohammad Rifai Katili Muhammad Rezky F. Payu Muhammad Rezky F. Payu Muhammad Rifai Katili Nadhilah, Farhah Ni Luh Diyani Swarningsih Ningsih, Setia Nisky I. Yahya Nisky Imansyah Yahya NISKY IMANSYAH YAHYA Novarianti Firdaus Novianita Achmad Nteseo, Sutriany Nur Anggraini T. Ali Nur Dhea Wahab Nurhayati Abbas Nurwan Nurwan Nurwan Nurwan NURWAN NURWAN Nurwan, Nurwan Nurwan, Nurwan Nur’ain Manoppo Pakaya, Desya Neydi Putri Posangi, Tiara Rahim, Delvira Masita Rahmi, Emli Resmawan Resmawan Rifandi Pratama Putra Kasadi Rizal Usman S. GURITMAN Safrudin Ismail Salmun K. Nasib Salmun K. Nasib Sartika Husain Siraj, Suaib A Siti Nurmardia Abdussamad Sri Maryam Mohungo Stella Junus Suaib A. Siraj Sutriany Nteseo Syafrudin, Marisa Tahir, Fauzia D. Taufik, Mohamad Alfiransyah Taulia Damayanti Ulfa Is. Abdul Ulfania Liputo Vidya Avianti Hadju Wahdania A.T. Ja’a Wakiden, Yuliyani Windra Tahir Yahya, Nisky Imansyah Yulianti Arbie