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All Journal Pro Food SELAPARANG: Jurnal Pengabdian Masyarakat Berkemajuan Jurnal Pengabdian Magister Pendidikan IPA Mandalika Mathematics and Educations Journal Griya Journal of Mathematics Education and Application Rengganis Jurnal Pengabdian Masyarakat Jurnal Pengabdian Masyarakat : Pemberdayaan, Inovasi dan Perubahan Jurnal Aquaculture Indonesia Milang Journal of Mathematics and Its Applications Jurnal Pepadu MILANG Journal of Mathematics and Its Applications
Dilla Afriansyah
Universitas Mataram
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Optimization of Coffee Inventory and Replenishment Planning under Demand Uncertainty: A Linear Programming Approach Lingga Gita Dwikasari; Dilla Afriansyah
Mandalika Mathematics and Educations Journal Vol 8 No 2 (2026): Edisi Juni
Publisher : FKIP Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/jm.v8i2.12437

Abstract

This study develops a multi-period linear programming model to optimize coffee inventory and replenishment planning under demand uncertainty. The model integrates inventory balance, replenishment capacity, storage capacity, and safety stock constraints to determine cost-efficient replenishment quantities and ending inventory levels for three coffee products: Robusta, Arabica, and Blend. Simulated data over six planning periods were analyzed under low, medium, and high demand scenarios using PuLP in Python. The results show that optimal solutions were obtained under low and medium demand conditions, with total inventory costs of Rp 286,836,000 and Rp 480,466,000, respectively. Under low demand, inventory was maintained exactly at safety stock levels, reflecting a just-in-time strategy. Under medium demand, the model temporarily increased Robusta inventory to anticipate future demand. However, the high-demand scenario was infeasible, indicating insufficient replenishment capacity. The model provides a practical decision support tool for cost-efficient and resilient coffee inventory management.
Co-Authors Adriani, Ika Reskiana Anggraini, Ines Marisya Dwi Arsyi, Elmia Kharisma Eka Partiwi Firman Fajar Perdhana Gita Dwikasari, Lingga Hadi Sumarno Hadi Sumarno Hasanah, Nadia Permata Hidayatullah, Rizkiya Azzahra I Wayan Mangku Ines Marisya Dwi Anggraini Isnain, Fuad Sauqi Lingga Gita Dwikasari Lingga Gita Dwikasari, Lingga Gita Made Gendis Putri Pertiwi Made Gendis Putri Pertiwi Ni Kadek Ayu Astiti Kirtiyani Novia Rahayu Novia Rahayu Pertiwi, Made Gendis Putri Qabul Dinanta Utama Rahayu, Olivia Rini Nofrida Rini Nofrida Ruhaeni, Ruhaeni Sukma, Dinda Galuh Wahyuni Ekasasmita Widyasari, Rucitra Yesica Marcelina Romauli Sinaga Yusuf, Aulia Islamiati Zahra, Khoiruz Zainuri Zainuri Zainuri Zainuri Zainuri, Zainuri