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All Journal Jurnal Matematika dan Statistika serta Aplikasinya (Jurnal MSA) Journal of Natural Sciences and Mathematics Research DIDAKTIKA : Jurnal Kependidikan Musamus Journal of Mathematics Education Proximal: Jurnal Penelitian Matematika dan Pendidikan Matematika Square : Journal of Mathematics and Mathematics Education LOSARI: Jurnal Pengabdian Kepada Masyarakat ARRUS Journal of Mathematics and Applied Science Journal of Mathematics: Theory and Applications Mestaka: Jurnal Pengabdian Kepada Masyarakat ARRUS Jurnal Pengabdian Kepada Masyarakat Jurnal Hasil-Hasil Pengabdian dan Pemberdayaan Masyarakat (JHP2M) SMART: Jurnal Pengabdian Kepada Masyarakat Semeton Mathematics Journal Journal of Mathematics, Statistics, and Applications
Syamsuddin Mas'ud
Universitas Negeri Makassar
Agriculture, Biological Sciences & Forestry Humanities Biochemistry, Genetics & Molecular Biology Chemistry Computer Science & IT Decision Sciences, Operations Research & Management Earth & Planetary Sciences Economics, Econometrics & Finance Education Energy Environmental Science Health Professions Languange, Linguistic, Communication & Media Library & Information Science Materials Science & Nanotechnology Mathematics Mechanical Engineering Medicine & Pharmacology Physics Public Health Social Sciences Transportation Other

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Optimasi Rute Pendistribusian Barang Menggunakan Kombinasi Algoritma Branch and Bound dan Cheapest Insertion Heuristic Oeitama, Whennie Youngger; Oeitama, Whannie Youngger; Sitandi, Flora Frisilia; Mas'ud, Syamsuddin
Square : Journal of Mathematics and Mathematics Education Vol. 6 No. 2 (2024)
Publisher : UIN Walisongo Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21580/square.2024.6.2.22992

Abstract

The problem that often occurs in the process of distributing goods is that the distribution route is not optimal which results in higher costs and longer travel times. This can be solved by finding the shortest path that can be passed or widely recognized as the Traveling Salesman Problem (TSP). This study aims to determine the optimal distribution route for goods using a combination of the Branch and Bound and Cheapest Insertion Heuristic algorithms. The data used are in the form of location names and distances between locations that have been collected by Putra BJ Bangun in his research entitled Solving the Traveling Salesman Problem (TSP) with the Branch and Bound Method (Application of the Palembang Post Office Goods Transportation Problem). The results of the research indicate that the optimal route for the distribution of goods at the Palembang City Post Office, using a combination of both algorithms, is: KPRK Palembang → KPC Kapt A. Rivai → KPC Pakjo → KPC Talang Ratu → KPC Sukarami → KPC Alang Lebar → KPC Sekip → KPC Cinde → KPRK Palembang, spanning a total of 24.3 km. This route can be an alternative for salesmen to visit several KPCs and return to KPRK, with more efficient costs and time because it is the shortest route. In addition, this combination of algorithms is more efficient and simpler in terms of processing steps and computing time compared to using the Branch and Bound algorithm.Keywords: Traveling Salesman Problem (TSP), Branch and Bound, Cheapest Insertion Heuristic, Algorithm Combination, Optimal.
Route Determination for Distribution by Using a Combination of Branch and Bound Algorithm and Cheapest Insertion Heuristic Mas'ud, Syamsuddin
ARRUS Journal of Mathematics and Applied Science Vol. 4 No. 1 (2024)
Publisher : PT ARRUS Intelektual Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35877/mathscience2636

Abstract

This paper discusses the determination of the LPG Gas distribution route using the concept of the Traveling Salesman Problem. The research data is secondary data obtained from a previous study, where in that study, the generated routes had different starting and ending points. However, in this research, the sought-after routes are those with the same starting and ending points. Such routes are sought with the consideration that in a travel route, the starting and ending points are usually the same. The Traveling Salesman Problem method used in determining these routes is the Branch and Bound algorithm combined with the Cheapest Insertion Heuristic. The distribution route obtained is v1 – v2 – v6 – v11 – v10 – v7 – v9 – v12 – v13 – v14 – v13 – v12 – v9 – v8 – v4 – v5 – v4 – v3 – v2 – v1.
Penentuan Rute Pendistribusian Gas LPG Menggunakan Algoritma Prim dengan Optimalisasi melalui Pergantian Sisi Syamsuddin Mas'ud
Proximal: Jurnal Penelitian Matematika dan Pendidikan Matematika Vol. 7 No. 1 (2024): Sustainable Development Goal in Mathematics and Mathematics Education
Publisher : Universitas Cokroaminoto Palopo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30605/proximal.v7i1.3063

Abstract

This research examines the determination of LPG gas distribution routes. The study is conducted on data collected by Elia Resita Ningrum in her research titled "Optimizing LPG Gas Distribution Routes Using the Floyd Warshall Algorithm and the Greedy Algorithm." This data is processed using different methods with the aim of obtaining better LPG gas distribution routes. The method to be used is the Prim algorithm, followed by route improvement through edge exchange in the graph. The Prim algorithm is used to obtain a minimum spanning tree. From this minimum spanning tree, one of the distribution routes is selected, namely v_1-v_2-v_3-v_4-v_8-v_4-v_10-v_11-v_10-v_4-v_5-v_6-v_7-v_9-v_12-v_13-v_14 with a total weight of 11.26. Route improvement is then carried out by exchanging edges in the graph, resulting in a new route, namely v_1-v_2-v_8-v_4-v_10-v_11-v_10-v_4-v_5-v_6-v_7-v_9-v_12-v_13-v_14 with a total weight of 10.91. This result is better than the result obtained by Elia Resita Ningrum with a total weight of 11.13. Based on the results obtained, for the case of LPG gas distribution by PT Petro Jaya Gas, the use of the Prim algorithm with route improvement through edge exchange produces better routes compared to the use of the Floyd Warshall Algorithm and the Greedy Algorithm conducted by Elia Resita Ningrum. Keywords: Route, Prim Algorithm, Edge Exchange.
Sejarah dan Definisi Klasik Fungsi Konveks Mas'ud, Syamsuddin
Semeton Mathematics Journal Vol 2 No 1 (2025): April
Publisher : Program Studi Matematika

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/semeton.v2i1.282

Abstract

The concept of convexity is a fundamental pillar in optimization theory and inequality analysis. This article aims to review the history and classical definition of convex functions through a literature-based approach. The literature reviewed includes works by Jensen [1], Rockafellar [2], Boyd & Vandenberghe [3], and Niculescu & Persson [4]. The analysis highlights the connection between the geometric definition of convex functions and Jensen's inequality, which demonstrates the consistency of inequality structures in both deterministic and probabilistic contexts. This study emphasizes that Jensen's inequality not only extends the concept of convex functions in probability theory but also strengthens the understanding of its geometric definition in classical analysis. This article is intended to serve as an introduction for students and researchers wishing to comprehend the foundational structure of convexity in modern mathematical theory.
Pendampingan Persiapan ON-MIPA PT 2024 Bidang Matematika bagi Mahasiswa Universitas Fajar Mas'ud, Syamsuddin; Izzulhaq, Agung; Saputra, Andika; Ramadana, Yusuf
ARRUS Jurnal Pengabdian Kepada Masyarakat Vol. 4 No. 1 (2025)
Publisher : PT ARRUS Intelektual Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35877/454RI.abdiku3971

Abstract

ONMIPA-PT merupakan salah satu kompetisi ilmiah tingkat nasional. ONMIPA-PT melibatkan beberapa bidang dan di antaranya adalah Matematika. Soal-soal pada kompetisi tersebut merupakan soal non-rutin dan lebih mendalam dibandingkan soal pada buku teks standar. Oleh karena itu, perlu adanya pendampingan sebelum mengikuti ONMIPA-PT terlebih bahwa Universitas Fajar belum memiliki program studi Matematika. Kegiatan pendampingan persiapan ONMIPA-PT diikuti oleh 3 orang perwakilan mahasiswa dan didampingi oleh dua orang mentor. Pendampingan dilaksanakan dalam dua bagian, yaitu bagian pertama yang dilakukan secara offline di kampus Universitas Fajar dan secara online melalui aplikasi google meet. Pendampingan bertujuan untuk menambah dan memaksimalkan pengetahuan, pemahaman, dan pengalaman atas materi terkait untuk mengikuti ONMIPA-PT. Materi yang diajarkan pada pendampingan ini berfokus pada materi Kombinatorik dan Aljabar Linear yang merupakan dua dari lima materi yang diujikan pada kompetisi ini. Hasil kegiatan pendampingan menunjukkan adanya peningkatan pemahaman mahasiswa terhadap materi yang dikompetisikan. Meski demikian, belum ada perwakilan yang lolos ke tingkat nasional.
Pengintegrasian Nilai Islam ke dalam Materi Pelajaran Matematika Asyari, Syahrullah; Ja'faruddin, Ja'faruddin; Mas'ud, Syamsuddin
SMART: Jurnal Pengabdian Kepada Masyarakat Vol 2, No 2 (2022): Oktober
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Negeri Makassar

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35580/smart.v2i2.38483

Abstract

Kegiatan pengabdian ini dilaksanakan di Kabupaten Pangkep, Sulawesi Selatan. Mitra kegiatan ini adalah sebanyak 14 orang anggota MGMP Matematika SMA di Kabupaten Pangkep. Tujuan kegiatan ini adalah menyelesaikan masalah mitra tentang cara mengintegrasikan nilai Islam ke dalam materi pelajaran matematika. Untuk itu, dalam pelaksanaan kegiatan ini, langkah-langkah dalam memberikan solusi masalah mitra mengadaptasi model pembelajaran langsung, di mana salah satu sintaksnya adalah mendemonstrasikan pengetahuan tentang model-model integrasi nilai Islam ke dalam materi pelajaran matematika secara benar, serta menyajikan proses integrasi nilai Islam dalam materi pelajaran matematika langkah demi langkah (step-by-step) secara benar. Hasil pelaksanaan kegiatan menunjukkan bahwa secara umum peserta puas terhadap semua elemen dalam pelaksanaan kegiatan, baik dipandang dari elemen materi yang disampaikan oleh kedua pemateri, maupun dari elemen kemampuan pemateri menyampaikan materinya. Namun demikian, ada kekurangpuasan oleh sebagian kecil peserta terhadap elemen sarana dan penyelenggaraan kegiatan ini, terutama mengenai durasi waktu pelaksanaan kegiatan yang relatif singkat.
PENDEKATAN FAKTORIAL PADA BIDANG RIIL Zaidulkhair Hamzi; Syamsuddin Mas'ud
Jurnal MSA (Matematika dan Statistika serta Aplikasinya) Vol 13 No 1 (2025): VOLUME 13 NO 1 TAHUN 2025
Publisher : Universitas Islam Negeri Alauddin Makassar

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24252/msa.v13i1.56025

Abstract

Artikel ini adalah studi literatur tentang mendefinisikan faktorial dalam domain nyata. Tujuan penelitian ini adalah untuk menurunkan rumus aproksimasi faktorial yang dinyatakan sebagai  dengan menggunakan pendekatan analitis. Makalah ini diawali dengan asumsi bahwa rumus faktorial rekursif tetap berlaku pada domain riil, kemudian digunakan untuk mengkonstruksi rumus aproksimasi . Selanjutnya, makalah ini juga mengaitkan hasil dari bentuk aproksimasi faktorial dengan representasi integral yang relevan, seperti fungsi gamma.
Komutator Operator Calderón-Zygmund Diperumum tipe-Teta pada Ruang Morrey Berbobot Diperumum: Komutator pada Ruang Morrey Berbobot Diperumum Ramadana, Yusuf; Syamsuddin Mas'ud
Jurnal MSA (Matematika dan Statistika serta Aplikasinya) Vol 13 No 1 (2025): VOLUME 13 NO 1 TAHUN 2025
Publisher : Universitas Islam Negeri Alauddin Makassar

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24252/msa.v13i1.56052

Abstract

In this paper, we conduct a comprehensive study on the boundedness properties of commutators generated by a BMO function and generalized Calderón-Zygmund operator. Specifically, we analyze their mapping behavior from a generalized weighted Morrey space to another generalized weighted Morrey spaces under some conditions on the parameters. Our main objective is to establish novel and refined conditions on the pair of parameter functions that guarantee the boundedness of these commutators on the spaces. The findings presented in this work contribute to a deeper understanding of the interplay between function spaces, weight conditions, and the structure of commutators in harmonic analysis.
Geometric Programming: A Literature Review and Thematic Research Developments Mas'ud, Syamsuddin
ARRUS Journal of Mathematics and Applied Science Vol. 5 No. 1 (2025)
Publisher : PT ARRUS Intelektual Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35877/mathscience3896

Abstract

This study examines Geometric Programming (GP) developments from 2014 to 2024 through a systematic literature review, focusing on theoretical advancements (e.g., successive convexification, weighted-sum fuzzy GP), model generalizations (e.g., Robust GP, Neutrosophic GP), and integration with AI/ML. Using thematic analysis of peer-reviewed publications and case studies, the results demonstrate GP’s unique capability to transform nonconvex problems into convex forms via logarithmic transformations, enabling efficient solutions for energy systems and logistics. While GP has achieved global maturity with tools like CVXPY and GPkit, its adoption in Indonesia remains limited despite relevance to archipelagic energy distribution and infrastructure planning (e.g., IKN). The study identifies critical requirements for local implementation: context-specific validation, enhanced computational capacity, and interdisciplinary collaboration, providing a strategic framework for GP’s evidence-based application in Indonesia.
Tinjauan Singkat tentang Optimisasi Konveks Syamsuddin Mas'ud
Journal of Mathematics, Statistics and Applications Vol. 2 No. 1 (2025): Mei
Publisher : PT. Lontara Digitech Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.61220/

Abstract

Optimisasi konveks merupakan cabang optimisasi matematika yang memiliki peran penting dalam berbagai disiplin ilmu, seperti kecerdasan buatan, ekonomi, dan teknik. Keunggulan utama optimisasi konveks terletak pada jaminan solusi optimal global serta efisiensi metode penyelesaiannya. Artikel ini memberikan tinjauan literatur mengenai konsep dasar optimisasi konveks, metode utama yang digunakan, serta aplikasinya dalam berbagai bidang. Beberapa metode numerik yang banyak digunakan, seperti gradient descent, metode Newton, dan interior-point, dikaji dari segi efektivitas dan efisiensi komputasi. Selain itu, teori dualitas dalam optimisasi konveks dibahas sebagai alat analisis yang membantu penyederhanaan penyelesaian masalah. Dibandingkan dengan metode klasik seperti Simplex dan metode Lagrange, optimisasi konveks menawarkan stabilitas dan efisiensi yang lebih baik, terutama dalam menangani masalah skala besar. Hasil tinjauan menunjukkan bahwa pengembangan metode optimisasi konveks semakin berorientasi pada integrasi dengan machine learning dan pemrosesan big data. Studi lanjutan direkomendasikan untuk mengeksplorasi pendekatan hibrida yang mengombinasikan optimisasi konveks dengan teknik lain guna meningkatkan efektivitas dalam aplikasi nyata.
Co-Authors Ahmad Ansar ANDIKA SAPUTRA Andika Saputra Hisyam Ihsan Izzulhaq, Agung Ja'faruddin, Ja'faruddin Oeitama, Whannie Youngger Oeitama, Whennie Youngger Rahmat Syam Ramadana, Yusuf Sitandi, Flora Frisilia Sukarna Syahrullah Asyari, Syahrullah Tampa, Alimuddin Wahidin Ashari, Nur Yusuf Ramadana Zaidulkhair Hamzi