MODEL INVENTORI PADA BARANG FARMASI YANG DETERIORATING DENGAN TINGKAT PERMINTAAN LINIER YANG MEMPERTIMBANGKAN TINGKAT PENYIMPANAN

OKTARIANA, FIDELLA and Puspita, Fitri Maya and Indrawati, Indrawati (2025) MODEL INVENTORI PADA BARANG FARMASI YANG DETERIORATING DENGAN TINGKAT PERMINTAAN LINIER YANG MEMPERTIMBANGKAN TINGKAT PENYIMPANAN. Undergraduate thesis, Sriwijaya University.

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Abstract

In this study, an inventory model with linear demand is formulated that considers the storage rate and the complete backlogging condition is allowed. The solution of the model is done numerically and using WolframAlpha software. In the optimal solution, the calculation results show that the inventory time when reaching zero point \left({t_1}^\ast\right)\ is 0.4116422 and the cycle length \left({T_1}^\ast\right)\ is 1.25248751 with an average minimum total cost \bar{TC} of $356.89 per cycle. Convergence tests were conducted to ensure the stability of the solution and the results showed that the values are convergent. Sensitivity analysis to variations in parameter values obtained that the average total cost of \bar{TC}\ increased for each parameter analyzed. The increase in demand parameters a and b resulted in stable values of {{\ t}_1}^\ast\ and {T_1}^\ast. Meanwhile, the increase in damage cost (D_C) and constant damage rate (\theta) resulted in a stable value of \ {t_1}^\ast\ but the value of {{\ T}_1}^\ast increased. In contrast, an increase in storage (h) results in a decrease in the values of {t_1}^\ast\ and {T_1}^\ast. For an increase in the shortage cost (s) results in an increase in the value of {t_1}^\ast\ and a decrease in the value of {T_1}^\ast. Keywords: Inventory, Deterioration, Linear Demand, Convergence, Sensitivity Analysis

Item Type:	Thesis (Undergraduate)
Uncontrolled Keywords:	Inventori, Deteriorating, Permintaan Linier
Subjects:	Q Science > QA Mathematics > QA801-939 Analytic mechanics > QA911.Z54 Fluid dynamics--Mathematical models. Multiphase flow--Mathematical models. Turbulence--Mathematical models. Combustion--Mathematical models. Combustion--Mathematical models. Fluid dynamics--Mathematical models. Multiphase flow
Divisions:	08-Faculty of Mathematics and Natural Science > 44201-Mathematics (S1)
Depositing User:	Fidella Oktariana
Date Deposited:	17 Jul 2025 02:00
Last Modified:	17 Jul 2025 02:01
URI:	http://repository.unsri.ac.id/id/eprint/178888

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