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Optimising multi-level production model with diverse production rates under inflationary pressures and shortage

Sachin Kumar Verma

International Journal of Procurement Management, 2026, vol. 25, issue 2, 221-256

Abstract: The present research report focuses on an inventory model, specifically a production model, grounded in several astute assumptions that significantly enhance its effectiveness. By skilfully combining inventory and manufacturing management strategies within an inflationary economic context, the model achieves a greater level of credibility. This model assumes a multilevel production structure with varying production and demand rates, both of which are considered to be time-dependent exponential functions. Throughout the cycle, a constant deterioration rate is assumed. The inventory also experiences stock out situations following the production process. A numerical example illustrates a mathematical technique aimed at optimising the inventory cost function. Sensitivity analysis is conducted to further validate the model. The model's reliability is confirmed through verification. Mathematica-11 is utilised to determine the optimal solution.

Keywords: inventory management; production management; inflation; exponential demand; variable production rate; supply chain optimisation. (search for similar items in EconPapers)
Date: 2026
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