Penerapan Algoritma Cross Entropy–Genetic Algorithm Untuk Optimasi Makespan Pada Penjadwalan Flow Shop
DOI:
https://doi.org/10.25077/jmua.13.1.1-13.2024Keywords:
Penjadwalan flow shop, Makespan, Cross Entropy–Genetic AlgorithmAbstract
Penjadwalan flow shop merupakan jenis penjadwalan produksi dimana setiap pekerjaan yang diproses seluruhnya mengalir pada proses yang sama, dengan tujuan untuk mencari urutan pekerjaan yang dapat mengoptimalkan nilai makespan. Penelitian ini bertujuan untuk mencari kombinasi urutan pekerjaan dengan nilai makespan yang optimal pada CV Bestone Indonesia. Permasalahan penjadwalan flow shop dapat diselesaikan dengan menggunakan Cross Entropy–Genetic Algorithm (CEGA). Algoritma CEGA bekerja dengan cara membangkitkan sampel awal (N) secara acak, kemudian sampel selanjutnya diperoleh dari hasil proses crossover dan mutasi dengan parameter berupa parameter kejarangan (Ï), koefisien penghalusan (α), parameter crossover (Pc) dan parameter pemberhentian (β). Berdasarkan pengolahan data yang telah dilakukan menggunakan Algoritma CEGA, diperoleh urutan pekerjaan 3, pekerjaan 1, pekerjaan 4, pekerjaan 2 dan urutan pekerjaan 3, pekerjaan 4, pekerjaan 1, pekerjaan 2 serta nilai makespan sebesar 389116,52 detik.Downloads
References
Ginting, R., 2009, Penjadwalan Mesin, Graha Ilmu, Yogyakarta
Haming, M. dan Nurnajamuddin, M., 2014, Manajemen Produksi Modern Operasi Manufaktur dan Jasa, Buku 2, Cahaya Prima Sentosa, Jakarta
Arkeman, Y., Seminar, B., dan Gunawan, H., 2012, Algoritma Genetika Teori
dan Aplikasinya untuk Bisnis dan Industri, IPB Press, Bogor
Kurniawati, A. dan Karim, S., 2016, Penjadwalan Produksi Flow Shop dengan Metode Ignal-Scharge dan Algoritma Nawaz, Enscore dan Ham (NEH) di CV. Bestone Indonesia, jurnal Sains, Teknologi dan Industri, 13: 229 – 241
Widodo, S., Santoso, B. dan Siswanto, E., 2014. Pendekatan Algoritma Cross Entropy–Genetic Algorithm untuk Menurunkan Makespan Pada Penjadwalan Flow Shop, JEMIS, 2: 41 – 49
Nurkhalida, L. dan Santosa, B., 2012, Pendekatan Algoritma Cross Entropy–Genetic Algorithm Pada Permasalahan Multi Objective Job Shop Scheduling, (serial online) Available at: https//www.researchgate.net/publication/267976436-
pendekatan-cross-entropy-genetic-algorithmn-pada-permasalahan-multi-objective-job-shop-scheduling. Pdf, (14 Mei 2021)
Syarif, A., 2014, Algoritma Genetika Teori dan Aplikasi, Edisi ke-2, Graha Ilmu, Yogyakarta
Boer, D., Kroese, D.P., Mannor, S., and Rubinstein, R.Y., 2005, A tutorial on the Cross-Entropy Method,Annals of Operations Research, 134: 19 – 67
Bashori, H.,Pratikto, dan Sugiono, 2015, Penjadwalan Flow Shop dengan Penerapan Algoritma Cross Entropy-Genetic Algorithm (CEGA) untuk Meminimasi Makespan, JEMIS, 3: 35 – 42
Muharni, Y., Saeful M, A. I., dan Rubyanti, T. E., 2019, Penjadwalan Flow Shop Mesin Paralel Menggunakan Metode Longest Processing Time dan Cross Entropy-Genetic Algorithm Pada Pembuatan Produk Steel Bridge B-60, Jurnal Ilmiah Teknik Industri,7: 213 – 225
Bahsori, H, 2015, Upaya Meminimasi Makespan dengan Penerapan Algoritma Cross Entropy Pada Penjadwalan Flow Shop, Widya Teknika, 23: 10 – 14
Alfandianto, A., Nugroho, y. A., dan Setiafindari, W., 2017, Penjadwalan Produksi Menggunakan Pendekatan Algoritma Genetika di PT Pertani (PERSERO) Cabang D.I Yogyakarta, Jurnal DISPROTEK, 2: 1 – 7
Suprayogi, D. A., dan Mahmudy, W. F., 2014, Penerapan Algoritma Genetika Traveling Salesman Problem with Time Window, Jurnal Buana Informatika, 6: 121 – 130
Utama, D. M., Ardiansyah, L. R., dan Garside, A. K., 2019, Penjadwalan Flow Shop untuk Meminimasi Total Tardiness
Menggunakan Algoritma Cross Entropy-Genetic Algorithmn, Jurnal Optimasi Sistem Industri, 18: 133 – 141
Saputro, N., dan Yento, 2004, Pemakaian Algoritma Genetik untuk Penjadwalan Jop Shop Dinamis Non Deterministik, Jurnal Teknik Industri, 6: 61 – 70
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