Teacher Scheduling Optimization with Linear Programming
DOI:
https://doi.org/10.30605/proximal.v8i2.5546Keywords:
Optimization, Scheduling, Linear Programming, Simplex MethodAbstract
Scheduling is very important in teaching activities, especially for teachers who have been certified to fulfill their teaching obligations at least 24 hours a week. So it is necessary to prepare an appropriate schedule. This research aims to optimize teacher scheduling at SMK Negeri 1 Pantai Labu using the linear programming method. The data used is data on the number of teachers and classes at SMK Negeri 1 Pantai Labu. Completion of the simplex method, determining the optimum and feasible solution is obtained if the values in the Z row are all positive. Based on the research results, it was found that the minimum number of teachers needed in 1 period (6 days) was 69 teachers, with the minimum number of teachers starting work on the second day being 5 teachers, the minimum number of teachers starting work on the third day being 6 teachers, the minimum number of teachers There were 5 teachers who started working on the fourth day and the minimum number of teachers who started working on the fifth day was 5 teachers.
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References
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[2] G. G. Gunawan Rahmat and R. Danar Dana, “Implementasi Sistem Informasi Pengolahan Jadwal Mata Pelajaran Di Mts Wijaya Surya Berbasis Website,” JATI (Jurnal Mhs. Tek. Inform., vol. 8, no. 3, pp. 3101–3108, 2024, doi: 10.36040/jati.v8i3.9100.
[3] N. Nasution, R. F. Sari, and R. Aprilia, “Optimization Of Duties Of Employees Of Pt Jalur Nugraha,” J. Math. Sci. Comput. With Appl., vol. 1, no. 2, pp. 46–54, 2020, [Online]. Available: https://scholar.google.com/citations?view_op=view_citation&hl=en&user=jcugPe4AAAAJ&pagesize=100&citation_for_view=jcugPe4AAAAJ:LkGwnXOMwfc
[4] N. E. Prasetyani, D. Idayani, P. S. Matematika, U. Terbuka, and T. Selatan, “Optimasi penjadwalan mata pelajaran smp generasi madani menggunakan solver excel,” vol. 1, no. 2, pp. 108–117, 2024.
[5] Rosnani Ginting and M. Ghassan Fattah, “Optimisasi Proses Manufaktur Menggunakan Dfma Pada Pt. Xyz,” J. Sist. Tek. Ind., vol. 21, no. 1, pp. 42–50, 2019, doi: 10.32734/jsti.v21i1.902.
[6] R. F. Sari, R. Aprilia, and H. P. Rollingka, “Optimisasi Keuntungan Penjualan Kopi di Warung Bandar Kopi Deli Serdang dengan Metode Cutting Plane,” G-Tech J. Teknol. Terap., vol. 6, no. 2, pp. 316–323, 2022, doi: 10.33379/gtech.v6i2.1698.
[7] D. Wungguli and N. Nurwan, “Penerapan Model Integer Linear Programming Dalam Optimasi Penjadwalan Perkuliahan Secara Otomatis,” BAREKENG J. Ilmu Mat. dan Terap., vol. 14, no. 3, pp. 413–424, 2020, doi: 10.30598/barekengvol14iss3pp413-424
[8] E. E. Santi, “Pemanfaatan Solver Excel Untuk Optimasi Penjadwalan Mata Pelajaran,” J. Dimens. Pendidik. dan Pembelajaran, vol. 3, no. 1, pp. 9–15, 2016, doi: 10.24269/dpp.v3i1.137.
[9] P. S. Matematika, F. Matematika, D. A. N. Ilmu, P. Alam, and U. Pakuan, “Optimasi Penjadwalan Mata Pelajaran Menggunakan Metode Integer Linear Programming ( Studi Kasus : SMA Al-Hikmah ) SKRIPSI Zulvan Mahrijal,” 2024
[10] J. SUPRANTO, Statistik teori & aplikasi, Cet. 3. Jakarta: Erlangga, 1983.
[11] W. S. Fitri Ayu, “Rancang Bangun Sistem Informasi Penjadwalan Mata Pelajaran Berbasis Web Pada Smart Center Pekanbaru: Amik Mahaputra Riau,” J. Intra Tech, vol. 3, no. 1, pp. 38–48, 2019.
[12] A. Selvia, P. Irnanda, and B. Mahmud, “Optimasi keuntungan produksi kemplang panggang menggunakan linear programming melalui metode simpleks,” Semin. dan Konf. Nas. IDEC, no. May, pp. 1–12, 2018.
[13] S. Aprilyanti, “Optimasi Keuntungan Produksi Pada Industri Kayu Pt . Indopal Harapan Murni Menggunakan Linear,” Pasti, vol. XIII, no. 1, pp. 1–8, 2019.
[14] O. A. Yayu Nurhayati Rahayu, Program Linier (Teori Dan Aplikasi). Jawa Barat: WIDINA MEDIA UTAMA, 2020.
[15] E. A. Oyekan and G. O. Temisan, “Application of Linear Programming to Profit Maximization (A Case Study of Johnsons Nig. Ltd),” Adv. Multidiscip. Sci. Res. J. Publ., vol. 7, no. 1, pp. 11–20, 2019, doi: 10.22624/aims/maths/v7n1p2.
[16] S. Basriati and E. Santi, “Optimasi Produksi Menggunakan Metode Fuzzy Linear Programming (Studi Kasus: Home Industri Fina Bakery),” J. Sains Mat. dan Stat., vol. 4, no. 2, pp. 54–62, 2018.
[17] Suvriadi Panggabean, Yesika Hutahaean, and Veronika Stephanie Sitanggang, “Implementasi linear programming metode simpleks dalam mencari keuntungan maksimum pada UMKM Es Dingin,” J. Ris. Rumpun Mat. Dan Ilmu Pengetah. Alam, vol. 3, no. 1, pp. 01–13, 2023, doi: 10.55606/jurrimipa.v3i1.2195.
[18] R. A. K. P. Suryanto, Edi Suwardi Nugroho, “Analisis Optimasi Keuntungan Dalam Produksi Keripik Daun Singkong Dengan Linier Programming Melalui Metode Simpleks,” J. Manaj., vol. 11, no. 2, pp. 226–236, 2019.
[19] E. T. Susdarwono, “Pemrograman Linier Permasalahan Ekonomi Pertahanan: Metode Grafik Dan Metode Simpleks,” Teorema Teor. dan Ris. Mat., vol. 5, no. 1, p. 89, 2020, doi: 10.25157/teorema.v5i1.3246.
[20] V. Susanti, “Optimalisasi Produksi Tahu Menggunakan Program Linear Metode Simpleks,” MATHunesa J. Ilm. Mat., vol. 9, no. 2, pp. 399–406, 2021, doi: 10.26740/mathunesa.v9n2.p399-406.
[21] Rina Gebryella Gultom, Rosiana Claudia Br Gultom, and Suvriadi Panggabean, “Optimalisasi Laba Produksi Pangan Menggunakan Program Linier Dengan Metode Simpleks dan POM-QM for Windows di Warung Cek Nur,” J. Ris. Rumpun Mat. Dan Ilmu Pengetah. Alam, vol. 3, no. 1, pp. 14–32, 2023, doi: 10.55606/jurrimipa.v3i1.2196.
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Published
2025-02-27
How to Cite
Harry Feroza, & Rina Filia Sari. (2025). Teacher Scheduling Optimization with Linear Programming. Proximal: Jurnal Penelitian Matematika Dan Pendidikan Matematika, 8(2), 511–521. https://doi.org/10.30605/proximal.v8i2.5546
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