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All Journal The Journal of Experimental Life Sciences (JELS) Epsilon: Jurnal Matematika Murni dan Terapan Journal of the Indonesian Mathematical Society Jurnal Ilmiah Ekonomi Islam Jurnal Penelitian Pendidikan IPA (JPPIPA) MAJAMATH: Jurnal Matematika dan Pendidikan Matematika Jurnal Pustaka Mitra : Pusat Akses Kajian Mengabdi Terhadap Masyarakat Al-Khidmah Jurnal Pengabdian Masyarakat Cartesius Balance : Media Informasi Akuntansi dan Keuangan Jurnal Pengabdian Pada Masyarakat METHABDI
Wilda, Robiatul Witari
Universitas Palangka Raya
Religion Agriculture, Biological Sciences & Forestry Humanities Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Chemistry Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Immunology & microbiology Languange, Linguistic, Communication & Media Library & Information Science Materials Science & Nanotechnology Mathematics Medicine & Pharmacology Neuroscience Physics Public Health Social Sciences Transportation Other

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Analisis Proyeksi Harapan Lama Sekolah dalam Perspektif Maslahah: Studi Komputasi Grey GM(1,1) di Kota Palangka Raya Zulya Desmita; Febrianto Afli; Robiatul Witari Wilda; Mega Yumia
Jurnal Ilmiah Ekonomi Islam Vol. 12 No. 2 (2026): Jurnal Ilmiah Ekonomi Islam
Publisher : ITB AAS INDONESIA Surakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29040/jiei.v12i2.19644

Abstract

This research aims to analyze and project the direction of human capital accumulation in Palangka Raya City through the School Expectancy Length (SEL) indicator. Within the framework of Islamic economics, human capital accumulation is viewed as a fundamental instrument for achieving maslahah through the reinforcement of intellectual capacity (Hifdz al-Aql). This study employs a descriptive quantitative approach using secondary time-series data from the Central Bureau of Statistics for the period 2010–2025. Data analysis was conducted using the mathematical modeling of the Grey Forecasting Model GM(1,1), which is superior in predicting trends with limited data without relying on strict statistical distribution assumptions. The results indicate that this model has a very high level of accuracy with a Mean Absolute Percentage Error (MAPE) of 0.865%. Based on the projection results, the School Expectancy Length in Palangka Raya City is predicted to continue rising, reaching 15.47 years by 2030. Substantively, these findings confirm a consistent expansion of human capital, where the future school-age population is projected to be capable of attaining a Bachelor's degree level of education. The implications of this study emphasize the importance of policy synchronization between enhancing human resource capacity and providing strategic employment opportunities to ensure inclusive and sustainable economic welfare in Palangka Raya City.
Optimasi Menu Makan Bergizi Gratis Anak Sekolah Berbasis Integer Goal Programming Leksikografis Dua Tahap Febrianto Afli; Fitriayu Fitriayu; Mega Puspitorini; Mega Yumia; Robiatul Witari Wilda; Zulya Desmita; M. Rusydi Syawaludin
MAJAMATH: Jurnal Matematika dan Pendidikan Matematika Vol. 9 No. 2 (2026): Vol. 9 No. 2 September 2026
Publisher : Prodi Pendidikan matematika Universitas Islam Majapahit (UNIM), Mojokerto, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.36815/majamath.v9i2.4808

Abstract

Program Makan Bergizi Gratis di Indonesia mengalokasikan delapan ribu rupiah per porsi untuk bahan makanan siswa kelas satu hingga tiga sekolah dasar, namun kecukupan gizi yang dapat dicapai dalam batas anggaran ini belum diuji secara kuantitatif. Penelitian ini mengembangkan model integer goal programming leksikografis dua tahap untuk menyusun siklus menu lima hari bagi anak usia 7–9 tahun di Palangka Raya dari 16 bahan pangan lokal dalam bentuk matang. Sembilan sasaran gizi yang ditetapkan sebesar sepertiga Angka Kecukupan Gizi (AKG) Indonesia tahun 2019 diperlakukan sebagai sasaran, sedangkan batas atas lemak, energi, zat besi, vitamin A, dan anggaran, serta aturan komposisi piring seimbang dan variasi antarhari, bertindak sebagai kendala keras. Tahap pertama meminimalkan total deviasi gizi terbobot yang dinormalkan, dan tahap kedua meminimalkan biaya bahan makanan dengan mengunci kualitas gizi dari tahap pertama, sehingga prioritas antara kedua tujuan tersebut terjamin secara eksak. Menu optimal membutuhkan biaya rata-rata sebesar 6.731 rupiah per porsi, atau sekitar 7.431 rupiah termasuk alokasi bumbu, yang menegaskan bahwa anggaran tersebut memadai. Tujuh dari sembilan sasaran gizi terpenuhi setiap hari; serat mencapai 48 hingga 100% dan kalsium 86 hingga 107% dari sasaran. Analisis sensitivitas menunjukkan bahwa model tetap layak hingga batas 6.605 rupiah per porsi dan bahwa defisit serat bersumber dari komposisi daftar bahan pangan, bukan dari keterbatasan anggaran.
Analisis Dinamik dan Kestabilan Model PDRB Berbasis Persamaan Diferensial dengan Pengaruh Faktor Iklim di Kota Palangka Raya Robiatul Witari Wilda; Mega Yumia; Mita Akbar Sukmarini; Adina Apriyani; Febrianto Afli
MAJAMATH: Jurnal Matematika dan Pendidikan Matematika Vol. 9 No. 2 (2026): Vol. 9 No. 2 September 2026
Publisher : Prodi Pendidikan matematika Universitas Islam Majapahit (UNIM), Mojokerto, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.36815/majamath.v9i2.4820

Abstract

This study aims to model the dynamic interaction between Gross Regional Domestic Product (GRDP) and environmental conditions in Palangka Raya using a system of differential equations. The proposed model incorporates logistic growth of GRDP influenced by environmental factors, while the environmental variable is affected by climate components such as rainfall, number of rainy days, and solar radiation. Model parameters are estimated using a data fitting approach by minimizing the sum of squared errors between observed data and simulation results. Numerical simulations are carried out using a fourth-order Runge–Kutta method implemented in Python. The estimated parameters are consistent with the model assumptions and provide meaningful interpretations from both economic and environmental perspectives. Stability analysis indicates that the system possesses a non-trivial equilibrium point that is asymptotically stable. Simulation results show that GRDP grows rapidly in the early stage and gradually approaches a stable equilibrium value, while the environmental variable converges to a steady state. The equilibrium level of GRDP can exceed its baseline capacity, indicating that environmental factors contribute to enhancing the effective economic capacity. Overall, the model is able to capture the long-term behavior of the economic–environmental system and provides insights into the role of environmental factors in regional economic growth.
Co-Authors Adi, Mika Adina Apriyani Afli, Febrianto Ahmad Muammar Kadafi Alfanaar, Rokiy Arsana, Mu afa Ayu, Regina Wahyudyah Sonata Basani, Yuniarta Citrariana, Shesanthi Desy Lutfiani Pratiwie Dita Monita Fatiqin, Awalul Febrianto Afli Febrianto Afli Fitriayu Fitriayu Hermanto Hermanto Hermanto Hermanto Imron, Moch. Aruman Indah Gumilang Dwinanda Jipasca, Elon Kadek Ayu Cintya Adelia M. Rusydi Syawaludin Mahar, Alicia Christina Mega Puspitorini Mega Yumia Mita Akbar Sukmarini Monita, Dita Mu’afa Purwa Arsana Ngazizah, Febri Nur Nurjanah, Ana Puspitorini, Mega Rahman, Sudarman Regina Wahyudyah Sonata Ayu Rizka, Sailah Ar Sukmarini, Mita Akbar Tesdiq Prigel Kaloka Thathit Suprayogi Trisilowati Trisilowati, Trisilowati Yahya Febrianto Yumia, Mega Zulya Desmita