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Optimasi Penjadwalan Mata Pelajaran Berbasis Kurikulum Merdeka Menggunakan Integer Linear Programming Permana, Rendy Candra; Hanum, Farida; Bakhtiar, Toni; Supriyo, Prapto Tri
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Volume 13 Issue 2 August 2025
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v13i2.32513

Abstract

Scheduling subjects in secondary schools implementing the kurikulum merdeka presents a complex challenge. Kurikulum merdeka demands a high degree of flexibility, fulfillment of individual learning needs, and integration between mandatory and elective subjects. The complexity increases due to time constraints, uneven distribution of teaching loads, limited classroom availability, and potential schedule conflicts between teachers and students. The manual approach, which is still commonly used, is often inefficient, time-consuming, and results in suboptimal schedules. To address these challenges, this study proposes an automated scheduling model based on Integer Linear Programming (ILP), implemented using LINGO 19.0 software. The model considers various real-world constraints, such as the maximum number of study hours per day, designated days for mandatory and elective subjects, the requirement for two consecutive periods per subject, and teacher availability. A case study was conducted for Grade XI at SMAN 58 Jakarta, involving 9 classes, 32 teachers, and 18 subjects (9 mandatory and 9 elective). The experimental results show that the model can produce efficient, conflict-free schedules, accelerate the scheduling process, and support equitable teacher workload distribution.
Mathematical Insights into Aboge Calendar: Ethnomathematics Study of Javanese Cultural Heritage in Cikakak Village Kusuma, Anggun Badu; Hanum, Farida; Abadi, Agus Maman
Mathematics Education Journal Vol. 19 No. 3 (2025): Mathematics Education Journal
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/mej.v19i3.pp567-584

Abstract

Traditional calendars often embody complex knowledge systems that remain underexplored in formal academic discourse, especially in the context of indigenous mathematics. This study investigates the mathematical structures embedded in the Javanese Aboge calendar, a traditional timekeeping system preserved by the Aboge community in Cikakak Village, Banyumas Regency, Indonesia. While the official Javanese calendar has transitioned to the Asapon kurup, the Aboge community continues to follow the older Aboge kurup, rooted in local belief and tradition. Using a qualitative descriptive approach and ethnographic methods—comprising field observations, interviews, and collaborative computations—this study examines the underlying mathematical logic of the calendar. The findings reveal that the Aboge calendar applies modular arithmetic, particularly congruences modulo 7 (days) and modulo 5 (pasaran), to determine the first day of each month. These values follow recursive patterns modeled using mathematical formulas. Additionally, the Chinese Remainder Theorem is employed to calculate intervals between specific day-pasaran pairs, validating traditional practices through formal mathematical reasoning. The results demonstrate that the Aboge calendar encapsulates sophisticated mathematical concepts traditionally transmitted through memorization. This study highlights the value of cultural diversity and affirms the role of indigenous knowledge in sustainable development, reinforcing the importance of integrating local traditions into educational and heritage preservation efforts.
ONE-DIMENSIONAL CUTTING STOCK PROBLEM THAT MINIMIZES THE NUMBER OF DIFFERENT PATTERNS Silalahi, Bib Paruhum; Hanum, Farida; Setyawan, Fajar; Supriyo, Prapto Tri
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 16 No 3 (2022): BAREKENG: Journal of Mathematics and Its Applications
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (440.926 KB) | DOI: 10.30598/barekengvol16iss3pp805-814

Abstract

Cutting stock problem (CSP) is a problem of cutting an object into several smaller objects to fulfill the existing demand with a minimum unused object remaining. Besides minimizing the remaining of the object, sometimes there is another additional problem in CSP, namely minimizing the number of different cutting patterns. This happens because there is a setup cost for each pattern. This study shows a way to obtain a minimum number of different patterns in the cutting stock problem (CSP). An example problem is modeled in linear programming and then solved by a column generation algorithm using the Lingo 18.0 software.
PENGOPTIMUMAN BIAYA DISTRIBUSI MENGGUNAKAN INTEGER PROGRAMMING DALAM MENYIKAPI KEBIJAKAN GANJIL-GENAP DI JAKARTA Aman, Amril; Anggraini, Rima Fitrianita; Hanum, Farida; Supriyo, Prapto Tri
MILANG Journal of Mathematics and Its Applications Vol. 18 No. 1 (2022): MILANG Journal of Mathematics and Its Applications
Publisher : School of Data Science, Mathematics and Informatics, IPB University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29244/milang.18.1.61-75

Abstract

Kebijakan Ganjil-Genap merupakan salah satu aturan yang diterapkan di Jakarta untuk mengurangi kemacetan. Kebijakan ini mengakibatkan kendaraan bermotor tidak bisa melalui ruas jalan tertentu, jika ganjil/genapnya nomor-polisi kendaraan tidak sesuai dengan ganjil/genapnya tanggal kendaraan tersebut ketika melintasi ruas jalan yang terkena kebijakan. Ada beberapa jenis kendaraan yang terkena dampak kebijakan ini, di antaranya ialah kendaraan distribusi perusahaan ekspedisi. Kebijakan ini membuat biaya distribusi perusahaan ekspedisi meningkat karena jarak perjalanan menuju konsumen menjadi lebih jauh untuk menghindari ruas jalan Ganjil-Genap ketika plat nomor polisi kendaraan yang digunakan untuk distribusi tidak sesuai dengan jenis tanggal distribusi. Proses distribusi yang meminimumkan biaya pengeluaran memerlukan penentuan rute yang optimal. Masalah penentuan rute optimal ini diformulasikan ke dalam Vehicle Routing Problem menggunakan Integer Linear Programming. Masalah ini diselesaikan menggunakan perangkat lunak LINGO 18.0 dan solusi optimal yang diperoleh berupa rute pendistribusian barang menggunakan kendaraan tertentu serta meminimumkan biaya distribusi.
PENJADWALAN TENAGA SUKARELAWAN DI KABUPATEN PURWOREJO MENGGUNAKAN INTEGER PROGRAMMING Amriyah, Amanatul; Bakhtiar, Toni; Hanum, Farida; Supriyo, Prapto Tri; Mayyani, Hidayatul
MILANG Journal of Mathematics and Its Applications Vol. 18 No. 2 (2022): MILANG Journal of Mathematics and Its Applications
Publisher : School of Data Science, Mathematics and Informatics, IPB University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29244/milang.18.2.155-167

Abstract

Kabupaten Purworejo termasuk salah satu kabupaten rawan bencana di Jawa Tengah. Daerah rawan bencana membutuhkan banyak tenaga sukarelawan ketika bencana terjadi. Saat ini, sukarelawan di Kabupaten Purworejo memiliki latar belakang profesi yang beragam dan masih terbatas jumlahnya. Keberagaman profesi dan keterbatasan jumlah tersebut membutuhkan pengaturan yang baik sehingga sukarelawan dapat bekerja secara optimal. Penelitian ini membahas penjadwalan tenaga sukarelawan di Kabupaten Purworejo yang dimodelkan menggunakan integer programming. Fungsi objektif masalah ini adalah memaksimumkan preferensi sukarelawan terhadap sektor kerja, shift waktu, dan jarak antara lokasi domisili sukarelawan dengan titik lokasi bencana. Penyelesaian masalah ini menggunakan software LINGO 17.0 menghasilkan jadwal sukarelawan selama satu periode yang memenuhi semua kendala dan memaksimumkan preferensi sukarelawan.
PENGARUH PERTAHANAN TANAMAN DALAM PENGUSIRAN HAMA PADA MODEL PENANGGULANGAN HAMA TANAMAN TERPADU Ali Kusnanto; Siswandi; Jaharuddin; Hanum, Farida
MILANG Journal of Mathematics and Its Applications Vol. 19 No. 1 (2023): MILANG Journal of Mathematics and Its Applications
Publisher : School of Data Science, Mathematics and Informatics, IPB University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29244/milang.19.1.43-51

Abstract

Dalam tulisan ini dikembangkan model pengendalian hama tanaman terpadu yang didasarkan pada model mangsa-pemangsa Leslie-Gower. Dalam model ini terdapat unsur pertahanan tanaman (tanaman yang mengeluarkan senyawa/bau) yang akan mampu mengusir sebagian hama yang ada di sekitarnya. Populasi yang terlibat dalam model ini yaitu populasi tanaman, populasi hama, dan populasi pemangsa hama. Tujuan tulisan ini adalah menentukan pengaruh pertahanan tanaman terhadap dinamika populasi yang terlibat. Dari analisis, menghasilkan empat titik tetap. Simulasi dilakukan untuk melihat pengaruh perubahan koefisien efisiensi pertahanan tanaman terhadap kestabilan titik tetap yang diperoleh. Telah ditunjukkan bahwa jika nilai koefisien efisiensi pertahanan tanaman diperbesar, mengakibatkan hama dan pemangsa hama menuju kepunahan dan populasi tanaman akan bertambah banyak.
PENENTUAN RUTE DISTRIBUSI RASTRA MENGGUNAKAN ALGORITMA GENETIKA Syakina, Lana; Bakhtiar, Toni; Hanum, Farida; Supriyo, Prapto Tri
MILANG Journal of Mathematics and Its Applications Vol. 19 No. 2 (2023): MILANG Journal of Mathematics and Its Applications
Publisher : School of Data Science, Mathematics and Informatics, IPB University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29244/milang.19.2.97-115

Abstract

Proses distribusi produk yang dilakukan oleh produsen untuk memenuhi kebutuhan konsumen sering kali melibatkan penyelesaian masalah perutean kendaraan. Vehicle routing problem (VRP) dapat digunakan untuk menentukan rute dan alokasi kendaraan agar biaya distribusi minimum. Penelitian ini membahas masalah penentuan rute distribusi beras untuk keluarga sejahtera (rastra) dari gudang penyimpanan Perum Bulog di Kabupaten Ponorogo ke beberapa desa/kelurahan. Periode pendistribusian yang diambil dalam penelitian ini hanya satu dari dua belas periode yang tersedia. Terdapat desa/kelurahan dengan permintaan yang melebihi kapasitas kendaraan, sehingga memerlukan distribusi terpisah. VRP dapat diselesaikan menggunakan metode eksak maupun heuristik. Dalam penelitian ini, metode heuristik yang digunakan adalah algoritma genetika dengan solusi awal diperoleh dari metode nearest neighbour untuk distribusi beras di Perum Bulog. Dari hasil implementasi diperoleh rute kendaraan yang meminimumkan biaya distribusi dan memenuhi semua kendala yang ada menggunakan algorima genetika dan diberikan pula hasil perbandingannya dengan solusi dari metode eksak.
Multicultural education patterns in promoting tolerance among high school students Sukardi, Joko Sri; Hanum, Farida; Efianingrum, Ariefa
Jurnal Cakrawala Pendidikan Vol. 44 No. 3 (2025): Cakrawala Pendidikan (October 2025)
Publisher : LPMPP Universitas Negeri Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21831/cp.v44i3.84362

Abstract

The study aims to identify: patterns of multicultural education that foster tolerance in SMA BOPKRI 2, SMA N 3, and SMA Al-Azhar 9 Yogyakarta, and the ideal pattern of multicultural education for developing tolerance in senior high schools. The research employed a qualitative descriptive approach. The research subjects included the principal, vice principal, and subject teachers. Data were collected through observation, interviews, and documentation. The data were analyzed using an interactive model consisting of data collection, data condensation, data presentation, and drawing conclusions. The validity of the data was ensured through triangulation of techniques and sources. The results showed that multicultural education patterns play an important role in developing tolerance in high schools. Specifically: SMA BOPKRI 2 Yogyakarta implemented a multicultural approach in accordance with its mandate, vision, mission, and objectives as a multicultural school; SMA Negeri 3 applied a diversity literacy approach, emphasizing the management of student diversity across ethnic, racial, cultural, linguistic, and religious backgrounds; and SMA Al-Azhar 9 practiced an open and inclusive model of multicultural education aligned with the Islamic principle of Wasathiyah (moderation). The ideal model, which represents the novelty of this research, was conceptualized from the patterns identified in the three schools and is termed the “Moderate Tolerance Empathy Model of Multicultural Education.” This model emphasizes the values of moderate tolerance and empathy as key drivers of mindset, attitudes, and behavior in multicultural senior high schools.
PERAN PENGAWASAN BADAN PERMUSYAWARATAN DESA PADA KINERJA KEPALA DESA DI DESA PAOWAN KECAMATAN PANARUKAN KABUPATEN SITUBONDO Hanum, Farida; Fitriyah, Nina Sa'idah; Hasanah, Faridatul
ACTON Vol 18 No 2 (2022): NOVEMBER
Publisher : Fakultas Ilmu Sosial dan Ilmu Politik Universitas Abdurachman Saleh Situbondo

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (452.403 KB) | DOI: 10.36841/acton.v18i2.2636

Abstract

Peran Pengawasan Badan Permusyawaaratan Desa pada Kinerja Kepala Desa berlandaskan pada Undang – Undang Nomor 6 Tahun 2014 dan Peraturan Daerah 2021 (pasal 50) yang bertujuan untuk mengetahui Peran Pengawasan Badan Permusyawaratan Desa Pada Kinerja Kepala Desa Di Desa Paowan Kecamatan Panarukan Kabupaten Situbondo dan dalam metode pengumpulan data terdiri dari tiga tehknik yaitu metode Observasi, Wawancara, Dokumentasi. Kemudian Pengawasan yang dilakukan Badan Permusyawaratan Desa pada rencana kegiatan pemerintahan desa sudah maksimal dibuktikan dengan terbentuknya RPJMDes, RKPDes, APBDes. Pengawasan yang dilakukan Badan Permusyawaratan Desa pada pelaksaanaan kegiatan Pemerintahan Desa masih kurang maksimal dibuktikan dengan tidak terlaksananya program dalam Rencana Kerja Pemerintah Desa (RKPDes) di mana ini berkaitan erat terhadap pengawasan yang dilakukan oleh badan permusyawaratan desa yaitu berupa program bantuan sosial tunai yang datanya di manipulasi oleh Kepala Desa, dana covid 19, dana jaminan pengamanan sosial bantuan stimulan Perumahan Swadaya rumah layak huni dan dari pengawasan Badan Permusyawaratan Desa (BPD) Anggaran Pendapatan Belanja Desa(APBDes) sedangkan pelaporan yang dilakukan oleh Badan Permusyawaratan Desa sudah maksimal dimana badan permusyawaratan desa sudah memberikan laporan kepada BPMD atas penyalagunaan dana oleh Kepala Desa dan sekretaris desa tetapi tindakan dari badan permusyaratan desa masih kurang tepat di mana badan permusyawaratan desa kurang transparansi kepada masyarakat
IMPLEMENTASI PERBUB BUPATI NOMOR 13 TAHUN 2023 TENTANG PENATAAN DAN PEMBERDAYAAN PEDAGANG KAKI LIMA DI KECAMATAN SITUBONDO KABUPATEN SITUBONDO Giyanto, Giyanto -; Hanum, Farida; Senain, Senain; Aini, Dini Noor; latifa, Sofia
ACTON Vol 21 No 1 (2025): MEI
Publisher : Fakultas Ilmu Sosial dan Ilmu Politik Universitas Abdurachman Saleh Situbondo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.36841/acton.v21i1.6387

Abstract

The existence of more and more street vendors often has a negative impact, especially on environmental issues. Where the environment becomes slum and also disturbs public facilities and motorists; besides that, it also disturbs the order, beauty, and neatness of the Situbondo Regency roads. Based on this, the Situbondo Regency Government formulated a policy in Regent Regulation Number 13 of 2023 concerning the Arrangement and Empowerment of Street Vendors. This study aimed to determine the implementation of Regent Regulation Number 13 of 2023 concerning the Arrangement and Empowerment of Street Vendors in Situbondo District at the Office of Cooperative, Industry, and Trade in Situbondo Regency. This research uses descriptive qualitative methods. This research is located on W.R. Supratman Street and Anggrek Street, Situbondo Regency, and at the Office of Cooperative, Industry, and Trade. The data collection methods in this study are interviews, observation, and documentation. Based on the results of the study, it can be concluded that the Implementation of Regent Regulation Number 13 of 2023 concerning the Arrangement and Empowerment of Street Vendors in Situbondo District at the Office of Cooperative, Industry, and Trade in Situbondo Regency is reviewed by the George C. Edward III theoretical model. Edward III's theoretical model needs to be maximally implemented. This is because the four dimensions of Edward's theory still need to be implemented, which consist of communication, resources, disposition, and bureaucratic structure.
Co-Authors , Agustiansyah ,, Senain Abadi, Muh Tajul Islam Abdurrahman, Muhammad Faiz Agus Hendra Al Rahmad Agus Karyanto Agus Maman Abadi Agus Prianto Ahmad Ahmad Aini, Dini Noor Al Fath, Muhammad Thoriq Alamsyah, Vandria Albinus Ngapu Albinus Ngapu Ali Khomsan Ali Kusnanto Alnedral Ambarita, Renata Amril Aman Amriyah, Amanatul Anggraini, Rima Fitrianita Ar-Raafi’, Fahrozi Ardo, Okilanda Ariefa Efianingrum Ayu Usada Rengkaningtias Aziz, Ishak B. Wahyono, Sugeng Babby Hasmayni Bambang Trisakti Bib Paruhum Silalahi Bussa, Leni Oktaviana Cahya Agitsna, Sisca Amini Candra, Vivi Cepi Safruddin Abdul Jabar Cokorda Javandira Debi Eka Putri Dharmayanti, Putu Ayu Paramita DWI HAPSORO Dwitama, Nabila Vina Edmizal, Eval Elfrianto ., Elfrianto Elisabet Sartiana Saitun Evi Rovikoh Indah Saputri Fitriyah, Nina Sa'idah Gidion Lobo Lenga Giyanto, Giyanto - Hanum, Sastriani Hari Susanto HASANAH, FARIDATUL Hayashi, Masami Hendrick Sasimtan Putra I Dewa Nyoman Raka I Gusti Alit Ady Mulyawan I Gusti Putu Andre Agusta Putra I Ketut Sumantra I Ketut Widnyana I Made Suryana Ida Ayu Putu Sri Widnyani Ikhwanul Arifan Indra Surya, Indra Iqbal, Daniev Syahirul Irvan Irvan Jaharuddin Jailani Jailani Jailani Jeki Haryanto Joko Sri Sukardi, Joko Sri Juniansyah, Muhammad Fadhillah Kinanti, Yoanda Astri Ayu Kusuma, Anggun Badu La Rudi latifa, Sofia Leni Oktaviana Bussa Mahima, N M Anugrah Marbun, Daniel S Maryani Maryani Mauluddin Alif Utama, Muhammad Mayyani, Hidayatul Muhammad Hendra S Ginting Mulyawan, I Gusti Alit Ady Muslimin, Fatkhul Natasya, Yenny NEVIATY PUTRI ZAMANI Ngapu, Albinus Ni Gst. Ag. Gde Eka Martiningsih Ni Kadek Emawati Ni Nyoman Suryani Ni Putu Pandawani Noni Zakiah Nunung Nurjanah Nyoman Labek Suyasdi Putra Permana, Rendy Candra Prapto Tri Supriyo Prehadini, Tampi Putra, Nyoman Labek Suyasdi Putri, Viza Yelisanti Putu Eka Pasmidi Ariati Rasmani, Risma Rasyid, Nashfin Nazli Rita Sari Rizky, Muhammad Rafly Safwan Safwan, Safwan Sahara, Farahdila Salsabilla, Kamilia Samuel Maju Simanjuntak, Samuel Maju Sarah, Maya Senain, Senain Septia, Alifurriza Qurnia Setyawan, Fajar Shely Cathrin Sidabutar, Rivaldi Sinabang, Juwita Lestari Sinaga, Mersi Suriani Sinamo, Gloria Clarita Siswandi Sitepu, Lusti Angelica Sitepu, Rafael Aginta Siti Irene Astuti D Sri Supiyati, Sri Sudiarto, Dwi Suhairi Suhairi Susmita, Nadya Suyantiningsih Suyantiningsih Syafrizaldi, Syafrizaldi Syafutra, Wahyu Pramudya Syahputra Sagala, Rizky Karina Syakina, Lana Syukur, Flavianus Pankrasius Taslim Taslim Taslim Teuku Fahmi Toni Bakhtiar Vega Soniawan Vita Novianti, Vita Wahyono, Sugeng B Yayat Heryatno Yuliandari, Siska Yuris, Evicenna YUSNITA YUSNITA