Copyright © 2026 Authors retain the copyright of this article. This article is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

@article{183228,
        author = {Sumitra Bagria and Sapna Shrimali},
        title = {MATHEMATICAL MODELING AND OPTIMIZATION OF INVENTORY CONTROL SYSTEMS: INSIGHTS FROM RELIANCE SMART, SIKAR},
        journal = {International Journal of Innovative Research in Technology},
        year = {2025},
        volume = {12},
        number = {3},
        pages = {555-559},
        issn = {2349-6002},
        url = {https://ijirt.org/article?manuscript=183228},
        abstract = {Efficient inventory management is crucial in the retail sector, particularly in semi-urban areas like Sikar. This paper proposes a compartmental mathematical model inspired by epidemiological modeling (SIR-type) to understand and optimize inventory control at Reliance Smart, Sikar. The model divides the system into demand (D), stock (S), and consumption (C) compartments. A system of differential equations is developed to analyze inventory flow, including order placement, fulfillment, and shrinkage. Numerical simulations are conducted, and strategies such as EOQ and ROP are incorporated. The findings demonstrate that mathematical modeling significantly improves inventory accuracy, reduces costs, and enhances service levels. This work contributes to the literature by adapting nonlinear modeling techniques to a real-world retail setting and offers a framework for data-driven decision-making in inventory control.},
        keywords = {},
        month = {August},
        }