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Aplikasi SPLDV dan Program Linier Dua Variabel dalam Menyelesaikan Permasalahan Kontekstual Rama Dani, M Ardi; Octarina, Sisca; Puspita, Fitri Maya
Griya Journal of Mathematics Education and Application Vol. 5 No. 4 (2025): Desember 2025
Publisher : Pendidikan Matematika FKIP Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/griya.v5i4.932

Abstract

This study aims to provide a concrete illustration of the application of systems of linear equations in two variables (SPLDV) and two-variable linear programming in solving real-world problems commonly encountered in daily life. The background of this research is rooted in the persistently low ability of students and small business practitioners to apply linear mathematical concepts to support decision-making processes, such as determining product prices and optimizing production. Using a descriptive method with a conceptual quantitative approach, this study presents two illustrative case studies: the determination of unit prices for stationery products through SPLDV, and the optimization of the production combination of woven bags and mats in a rattan-based small enterprise through two-variable linear programming under time constraints. The results indicate that SPLDV can objectively determine product prices based on transaction data, while linear programming provides an optimal solution in the form of producing 12 bags and 6 mats, yielding a maximum profit of IDR 1,320,000. These findings demonstrate that linear mathematical models serve as effective and applicable tools to support decision-making in both microeconomic contexts and mathematics education.
Quasi Linear Utility Optimization for Selfish User Model in C-RAN With Demand Response and Bundling Prayoga, Nafisah Aura; Puspita, Fitri Maya; Octarina, Sisca
Justek : Jurnal Sains dan Teknologi Vol 8, No 4 (2025): December
Publisher : Unversitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/justek.v8i4.36521

Abstract

This study aims to develop two optimization models that provide a realistic representation of interactions between selfish users and C-RAN networks by integrating demand response mechanisms, heterogeneous incentives, and quasi-linear utility functions. The first model is designed to formulate selfish user behavior in a C-RAN system based on utility structures and incentive schemes, while the second model extends this framework through the incorporation of a bundling scheme to evaluate improvements in network efficiency and user utility. The research methodology involves collecting and formulating 30 days of traffic data, defining relevant model parameters and variables, constructing the optimization models, and solving them using LINGO 13.0 under three pricing schemes: usage-based, flat-fee, and two-part tariff. The results reveal that the flat-fee pricing scheme with bundling in Case 2 provides the most efficient configuration, achieving the highest objective value of  and the lowest iteration count. These findings demonstrate that integrating bundling strategies into C-RAN pricing models can enhance network efficiency, improve bandwidth utility, and increase ISP revenue.
Co-Authors Adinda Putri Ramadhany, Adinda Putri Ahmadi, Adik Anggi Nurul Pratiwi Ani Sahara Br. Simanjuntak Arden Naser Yustian Simarmata Armalia, Divasanda Aryani, Robeah Ayu Nursafitri Ayu Wulandari Bahok M. Taib, Bahok M. Bambang Suprihatin Bella Arisha Bella Juwita Rezky Darmawijoyo, Darmawijoyo Des Alwine Zayanti, Des Alwine Desta Wahyuni Destia Maharani Dewi Lisandra Dian Wahyuni Diyaz Rachmaningtyas Eka Susanti Elisa Nurnawati Endro Setyo Cahyono, Endro Setyo Evi Yuliza, Evi Fadhila Chaniago, Redina An Ferani Eva Zulvia Fidella Oktariana Fitra Nur Azizah Haryati Pane Helmayanti, Rizky Hernanda, Eggyana Deri Icha Puspita Novyasti Iffah Husniah Indrawati Indrawati Indrawati Inosenisus Nadeak Inosensius Nadeak Irmeilyana Ismail Abdullah, Ismail Juniwati Juniwati Kurniadi, Elika Laila Hanum Malica Putri Amdes Meiza Putri Lestari Muthia Ulfa Nadia Zuliaty Syaputri Nadia Zuliaty Syaputri Ning Eliyati Novi Rustiana Dewi Novita Sari Nuraini, Anggun Oki Dwipurwani Oky Sanjaya Pratiwi, Weni Dwi Prayoga, Nafisah Aura Putra Bahtera Jaya Bangun, Putra Bahtera Jaya Putra BJ Bangun, Putra BJ Qatrunnada, Dhiya Rachmaningtiyaz, Diyaz Rahayu Tamy Agustin Rahmadia, Putri Rama Dani, M Ardi Ramadhan, Ahmad Farhan Rani Elekta Togatorop Reza Andeka Rima Melati Rindarto, Ahmad Rizki, Krisda Robinson Sitepu Rohania Rohania Sabana, Aprilia Nur Sarjani, Ita Shintya Apriliyani Simarmata, Ruth Helen Sisca Octarina Siti Suzlin Supadi Somakim, Somakim Sri Erlita Sri Erlita Supadi, Siti Suzlin Tampubolon, Farah Nabilah Tasiah, Mawar Tri Handayani Ulandari, Mazida Venty Wenny Herlina Yolanda Fitria YUNITA Yunita Yunita Yunita Yunita Yusuf Hartono