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September 10, 2025

The Two-Warehouse Inventory Model for Non-Instantaneous Deteriorating Items With the Effect of Inflation and Preservation Technology

Key Points

The model addresses inventory management of deteriorating items while accounting for inflation and shortages.
A hybrid demand function, influenced by the selling price and stock level, enhances demand capture in the model.
Sensitivity analysis was utilized to validate the model’s optimality and effectiveness in inventory decision-making.
Numerical examples using Mathematica Software demonstrated practical applications of the two-warehouse inventory model.

Abstract

This study establishes a two-warehouse inventory model for deteriorating items, incorporating preservation technology, shortages, and inflation. Deterioration is considered a natural, non-instantaneous, constant process, which is mitigated through preservation technology. The model operates under the influence of inflation and allows shortages in the own warehouse. A hybrid demand function, dependent on both selling price and stock level, is applied to capture demand variations. The two-warehouse system comprises an own warehouse storing a fixed quantity and a rented warehouse (RW) for excess inventory. To demonstrate the model’s optimality, sensitivity analysis and graphical presentations are conducted. A numerical example is solved using Mathematica Software 7.0 to illustrate the model’s application

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