MODEL INVENTORI BARANG FARMASI YANG DETERIORATING DENGAN TINGKAT PERMINTAAN LOGARITMA YANG MEMPERTIMBANGKAN TINGKAT PENYIMPANAN

NURSAFITRI, AYU and Puspita, Fitri Maya and Yuliza, Evi (2025) MODEL INVENTORI BARANG FARMASI YANG DETERIORATING DENGAN TINGKAT PERMINTAAN LOGARITMA YANG MEMPERTIMBANGKAN TINGKAT PENYIMPANAN. Undergraduate thesis, Sriwijaya University.

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Abstract

This study formulates an inventory model for pharmaceutical products that deteriorate over time. Demand is assumed to follow a logarithmic function, and the model also considers the possibility of shortages with complete backlogging. The objective of the model is to minimize the total inventory cost by determining the optimal stock-out time (t_1^*) and cycle length (T_1^*). The optimization results show that the inventory time to zero (t_1^*) is 0.00348 and the cycle length (T_1^*) is 0.77280 with an average minimum total cost ((TC) ̅ ) of $478.743769 per cycle. The optimization process was carried out using Google Colab as a cloud-based computing tool to efficiently run the model calculations and simulations. In addition, WolframAlpha was also used to solve the mathematical function form symbolically and numerically, thus helping to find the optimal solution of the model that has been built. Sensitivity analysis shows that changes in parameters have varying effects on the total cost. The logarithmic function parameter a and constant damage rate (θ) tend to produce stable values of t1 and T1. Meanwhile, an increase in the cost of each item damage (D_C ) causes T1 to rise and t1 to fall. Meanwhile, increases in storage costs (h) and shortages (I) drive up total costs with t1 increasing and T1 decreasing.

Item Type:	Thesis (Undergraduate)
Uncontrolled Keywords:	Model Inventori, Logaritma, Tingkat Penyimpanan, Mathematics, Complete backlogging, Analisis Sensitivas.
Subjects:	Q Science > QA Mathematics > QA1-939 Mathematics > QA21 Calculus. MATHEMATICS Q Science > QA Mathematics > QA1-939 Mathematics > QA641 Geometry, Differential. Geometry, Riemannian. EDUCATION / General. bisacsh.
Divisions:	08-Faculty of Mathematics and Natural Science > 44201-Mathematics (S1)
Depositing User:	Ayu Nursafitri
Date Deposited:	25 May 2025 03:08
Last Modified:	25 May 2025 03:08
URI:	http://repository.unsri.ac.id/id/eprint/174013

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