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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.
Fungsi Konveks dalam Optimisasi: Struktur, Sifat, dan Generalisasinya Mas'ud, Syamsuddin
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

This article aims to provide a comprehensive review of convex functions, generalizations of convexity concepts, and their applications in optimization and mathematical analysis. Although the basic concepts of convex functions are well understood, the understanding and application of advanced concepts such as quasiconvexity, log-convexity, and conjugate functions remain limited in more complex optimization problems, particularly in the context of statistical parameter estimation and machine learning. This study employs a literature review methodology with a descriptive analysis of theories and concepts developed in books and scientific journals, comparing various approaches in optimization and more complex functional structures. The findings highlight that convex functions possess valuable characteristics for optimization, and generalizations of convexity concepts, such as quasiconvexity and log-convexity, can extend the applications of convex functions in more complex analyses, such as in statistical models and machine learning.
Optimalisasi Manajemen Inventori melalui Pelatihan dan Peningkatan Kemampuan Memanfaatkan Olsera dalam Pencatatan Stok Barang pada UMKM secara Online Mas'ud, Syamsuddin; Ramadana, Yusuf
LOSARI: Jurnal Pengabdian Kepada Masyarakat Vol. 7 No. 1 (2025): Juni 2025
Publisher : LOSARI DIGITAL

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.53860/losari.v7i1.473

Abstract

Inventory data inaccuracy is a common issue faced by many UMKM, especially those operating in the food and beverage (F&B) industry. One effective solution to address this problem is implementing proper inventory management using digital tools such as the Olsera application. This community service project aimed to optimize inventory management by providing training and improving employees' skills in using Olsera for inventory recording. The project was carried out in four stages: discussions with the partner, preparation, training implementation, and monitoring and evaluation. As a result of these activities, the partner’s ability to use Olsera improved significantly, a standardized inventory recording process was established, and inventory data inaccuracies were reduced.