• VISHAL KUMAR PURWAR
• DR. SHARON MOSES

This study conducts a numerical sensitivity analysis to evaluate the total cost (TC) function in response to small perturbations in key parameters. Using finite difference methods, we approximate partial derivatives numerically by applying small changes (ϵ=0.01) to representative parameter values. The sensitivity analysis highlights which parameters have the most significant impact on the total cost, aiding in identifying areas requiring precise control or estimation for practical applications. Our findings reveal varying degrees of sensitivity across different parameters: C_0 shows a direct one-to-one change in TC; c exhibits extremely high sensitivity, indicating substantial impact even with minor changes; Q and I_0 display positive sensitivity, increasing TC as they rise; a and b demonstrate negative sensitivity, decreasing TC when increased; and T shows high sensitivity, signifying a considerable influence on TC. The graphical analysis includes a 3D surface plot, a contour plot, and a line plot, each illustrating the relationship between TC, cycle length (T), and initial inventory level (I_0 ). These visualizations underscore how higher initial inventory levels and longer cycle lengths elevate the total cost, providing critical insights for optimizing inventory management to minimize costs. The study's sensitivity analysis and graphical representations serve as effective tools for enhancing decision-making in managing inventory and cycle lengths.

Numerical sensitivity analysis, Total cost function, Inventory management, Cycle length optimization, Initial inventory level, Cost minimization

"Optimizing Total Cost in Inventory Systems with Demand Sensitivity and Deterioration", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.11, Issue 11, page no.a896-a905, November-2024, Available :http://www.jetir.org/papers/JETIR2411087.pdf

"Optimizing Total Cost in Inventory Systems with Demand Sensitivity and Deterioration", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.11, Issue 11, page no. ppa896-a905, November-2024, Available at : http://www.jetir.org/papers/JETIR2411087.pdf