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Aplikasi Aljabar Max-Plus pada Penjadwalan Periodik Produksi Kaos Kaki Nur Salamah; Zumrotus Sya'diyah
JMT (Jurnal Matematika dan Terapan) Vol. 7 No. 2 (2025): JMT (Jurnal Matematika dan Terapan)
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Science, Universitas Negeri Jakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21009/jmt.7.2.3

Abstract

Penelitian ini memodelkan sistem produksi kaus kaki di UD. Tunas Muda Jaya menggunakan pendekatan Aljabar Max-Plus. Model yang dibangun merepresentasikan ketergantungan waktu antar proses dalam bentuk sistem linier tropis. Analisis nilai eigen menunjukkan throughput maksimum sebesar 7 unit waktu per produk, sedangkan vektor eigen mengungkap penjadwalan relatif dan jalur kritis produksi. Temuan ini menegaskan bahwa upaya peningkatan produksi sebaiknya difokuskan pada proses dalam jalur kritis, karena proses di luar jalur tersebut tidak memengaruhi efisiensi sistem. Model ini menyediakan landasan kuat bagi perencanaan penjadwalan dan optimasi produksi periodik.
METODE HOLT DOUBLE EXPONENTIAL SMOOTHING UNTUK PERAMALAN PRODUKSI DAGING AYAM KAMPUNG Ari Intahaya; Nur Salamah; Hidayatul Ummah; Faradillah Siska Alfiani; Zahrotul Wardah Fadhlia; Ahmad Isroil
MATHunesa: Jurnal Ilmiah Matematika Vol. 13 No. 2 (2025)
Publisher : Universitas Negeri Surabaya

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Abstract

This study aims to forecast the production of free-range chicken in East Java using the Holt-Double Exponential Smoothing method. By utilizing production data from the past several years, this method was chosen for its ability to capture existing trend patterns. The analysis results indicate that the method provides a high level of accuracy in forecasting. In general, the production of free-range chicken is expected to increase in most regions, although some areas may experience a decline. It is expected that farmers and local governments would use the study's conclusions as a foundation for their decision-making in order to preserve the stability and sustainability of free-range chicken production.