Control of Wood Raw Material Inventory with Lagrange Multiplier Method in PT. XYZ
Abstract
- XYZ is a company engaged in the manufacturing industry that uses wood as the main raw material located in the city of Surabaya. PT. XYZ has a problem of less-than-optimal control of raw material inventory which has an impact on the swelling of inventory costs and over capacity of storage space. This study aims to determine the control of wood raw material inventory according to the capacity of the storage space so as to provide a minimum total inventory cost at PT. XYZ. The method used is the Lagrange Multiplier method. Based on the results of the study, the total new storage space was 287.99 m³. The total annual inventory cost of Rp 130.753.379 is smaller than the company's method of Rp 152.898.329, the Lagrange Multiplier method provides savings of 14.48%. The size of the spruce wood order is 58.69 m³ with each order being 9 days, basswood wood is 34.42 m³ with each order being 13 days, and pine wood is 50.89 m³ with each order being 18 days. This study proves that the Lagrange Multiplier method is an effective approach to overcome storage capacity constraints, optimize order quantities, and minimize inventory costs.
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References
Ahmad, F. (2020). Penentuan Metode Peramalan Pada Produksi Part New Granada Bowl St Di PT.X. JISI: Jurnal Integrasi Sistem Industri, 7(1), 31. https://doi.org/10.24853/jisi.7.1.31-39
Chaerunnisa, N., & Momon, A. (2021). Perbandingan Metode Single Exponential Smoothing Dan Moving Average Pada Peramalan Penjualan Produk Minyak Goreng Di Pt Tunas Baru Lampung. Jurnal Rekayasa Sistem Industri, 6(2), 101–106. https://doi.org/10.33884/jrsi.v6i2.3694
Devi, F. S., Santoso, R., & Nugroho, A. J. (2023). Penentuan Strategi Pemasaran Dan Usulan Perancangan Ulang Kemasan Produk. Jurnal Ilmiah Teknik Industri Dan Inovasi, 1(4), 30–40.
Fahmi, I. (2018). Teori dan Teknik Pengambilan Keputusan. PT. Rajagrafindo Persada.
Hilman, M., & Kusuma Ningrat, N. (2021). Perencanaan Persediaan Bahan Baku Pakan Ayam Pada Perusahaan Mekar Bakti Layer Dengan Metode Economic Order Quantity Di Kabupaten Ciamis. Jurnal Industrial Galuh, 3(02), 54–61. https://doi.org/10.25157/jig.v3i02.2978
Hudaningsih, N., Firda Utami, S., & Abdul Jabbar, W. A. (2020). Perbandingan Peramalan Penjualan Produk Aknil Pt.Sunthi Sepuri mengguanakan Metode Single Moving Average Dan Single Exponential Smooting. Jurnal Informatika, Teknologi Dan Sains, 2(1), 15–22. https://doi.org/10.51401/jinteks.v2i1.554
Ishaq, M. F., & Ernawati, D. (2021). Penentuan Jumlah Produksi Optimal dan Pengendalian Persediaan Produk Berbahan Dasar Daging Ayam dengan Metode Lagrange Multiplier pada PT. X. Juminten, 2(6), 49–59. https://doi.org/10.33005/juminten.v2i6.350
Isro’ah, N. A., Widyaningrum, D., & Ismiyah, E. (2022). Penerapan Metode Economic Order Quantity (Eoq) Model Lagrange Multiplier Untuk Menentukan Persediaan Bahan Baku Songkok Yang Optimal Dengan Kendala Modal Dan Kapasitas Gudang. JUSTI (Jurnal Sistem Dan Teknik Industri), 2(3), 392. https://doi.org/10.30587/justicb.v2i3.3837
Lorenza, U., Angelisa Soedira, R., Ayu Ramadiani, M., & Zona Rizal, F. (2024). Implementasi Metode Just In Time (JIT) dalam Pengelolaan Persediaan Bahan Baku pada Sweet Donuts di Kota Depok. Sanskara Manajemen Dan Bisnis, 2(03), 133–145. https://doi.org/10.58812/smb.v2i03.408
Mubasysyir, M. H., Supian, S., & Hertini, E. (2024). Multi-Item Inventory Control Using Economic Order Quantity (EOQ) Model with Safety Stock, Reorder Point, and Maximum Capacity in Retail Business. International Journal of Global Operations Research, 5(1), 55–61. https://doi.org/10.47194/ijgor.v5i1.237
Nurpadia, J., Studi Manajemen, P., & Ekonomi dan Bisnis, F. (2022). Perencanaan Kebutuhan Bahan Baku Guna Meningkatkan Efisiensi Biaya Produksi Pada CV. Solo Indah Kota Palu. Jurnal Sinar Manajemen, 9(2), 341–355.
Purnomo, H., & Riani, L. P. (2018). Optimasi Pengendalian Persediaan. In Hery Purnomo. Fakultas Ekonomi Universitas Nusantara PGRI.
Ruspendi, Rusmalah, & Nurmutia, S. (2022). Teknik Peramalan. In Lembaga Penerbit dan Publikasi Universitas Pamulang (Issue 1).
Saputri, G., Momon, A., & Herwanto, D. (2023). Pendekatan Metode Economic Order Quantity dan Forecasting dalam Analisis Kontrol Persediaan Bahan Baku Kecap. Jurnal Serambi Engineering, 8(2), 5342–5353.
Septianti, R. P., & Dahtiah, N. (2021). Penerapan Metode Peramalan dalam Menyusun anggaran Penjualan dan Anggaran Produksi Sebagai Dasar Penyusunan Anggaran Biaya Produksi pada LAF Project. Indonesian Accounting Literacy Journal, 1(3), 490–503. https://doi.org/10.35313/ialj.v1i3.3166
Setiawan, A., & Ernawati, D. (2023). Penerapan Metode Lagrange Multiplier untuk Meminimalkan Biaya Persediaan Material Plat di PT. PAL Indonesia (Persero). Briliant: Jurnal Riset Dan Konseptual, 8(3), 793. https://doi.org/10.28926/briliant.v8i3.1461
Suryatadina, A., & Nalwin Nurbani, S. (2023). Analisa Persediaan Tinta Toner Untuk Mesin Digital Printing Type +1060 Di Pt. Xyz. Jurnal Industrial Galuh, 5(2), 55–73. https://doi.org/10.25157/jig.v5i2.3305
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