MODEL INVENTORI BARANG FARMASI YANG DETERIORATING DENGAN TINGKAT PERMINTAAN POLINOMIAL DERAJAT EMPAT

HANDAYANI, TRI and Puspita, Fitri Maya and Indrawati, Indrawati (2025) MODEL INVENTORI BARANG FARMASI YANG DETERIORATING DENGAN TINGKAT PERMINTAAN POLINOMIAL DERAJAT EMPAT. Undergraduate thesis, Sriwijaya University.

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Abstract

In this study, an inventory model is developed for pharmaceutical products that experience deterioration due to prolonged storage time, with a demand rate modeled as a fourth-degree polynomial function. The model considers shortages that are allowed with complete backlogging, and it assumes a constant deterioration rate. In the optimal solution, the inventory depletion t_1^* is obtained as 0.058823, and the cycle length T_1^* is 0.920327, with a minimum average total cost (TC) ̅ of $393.96 per cycle, calculated using WolframAlpha software. Sensitivity analysis on parameter changes shows that (TC) ̅ increases for most parameters. An increase in the constant deterioration rate θ results in stable values for t_1^* and T_1^* An increase in the demand function parameter a leads to a decrease in t_1^* and T_1^* while (TC) ̅ increases. An increase in the demand function parameter b results in fluctuating t_1^* values and a decrease in T_1^(* )while (TC) ̅ increases. An increase in the cost per deteriorated item D_c leads to increases in both t_1^* and T_1^* along with a significant rise in (TC) ̅ . An increase in the holding cost h results in a decrease in t_1^* while T_1^* remains stable, but (TC) ̅ fluctuates. Meanwhile, an increase in the shortage cost s leads to increases in both t_1^* and T_1^(* )as well as in (TC) ̅.

Item Type:	Thesis (Undergraduate)
Uncontrolled Keywords:	Inventori, Farmasi, Deteriorating, Tingkat Permintaan Polinomial Derajat Empat, Complete Backlogging, Analisis Sensitivitas.
Subjects:	Q Science > QA Mathematics > QA150-272.5 Algebra > QA169.A65 Categories (Mathematics)--Periodicals. Algebra--Periodicals. Mathematical analysis--Periodicals. Topology--Periodicals. Computer science--Periodicals
Divisions:	08-Faculty of Mathematics and Natural Science > 44201-Mathematics (S1)
Depositing User:	Tri Handayani
Date Deposited:	16 Jul 2025 08:01
Last Modified:	16 Jul 2025 08:01
URI:	http://repository.unsri.ac.id/id/eprint/178815

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