Mandalika Mathematics and Educations Journal
Vol 8 No 2 (2026): Edisi Juni

Optimization of Coffee Inventory and Replenishment Planning under Demand Uncertainty: A Linear Programming Approach

Lingga Gita Dwikasari (Universitas Mataram)
Dilla Afriansyah (Universitas Mataram)



Article Info

Publish Date
30 Jun 2026

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.

Copyrights © 2026






Journal Info

Abbrev

MANDALIKA

Publisher

Subject

Mathematics

Description

Mandalika Mathematics and Education Journal adalah Jurnal Matematika dan Pendidikan Matematika yang dikelola oleh Program Studi S1 Pendidikan Matematika FKIP Universitas Mataram. Fokus dan ruang lingkup dari jurnal ini adalah artikel ilmiah baik berupa hasil penelitian, review artikel maupun kajian ...