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@article{192636,
        author = {Suman Kumari and Suman},
        title = {Optimization of an Inventory System with Quartic Polynomial Demand, Constant Deterioration Rate, and Backordering},
        journal = {International Journal of Innovative Research in Technology},
        year = {2026},
        volume = {12},
        number = {9},
        pages = {2146-2153},
        issn = {2349-6002},
        url = {https://ijirt.org/article?manuscript=192636},
        abstract = {This paper develops a deterministic inventory control model for deteriorating items subject to complex, time-varying demand. Demand is modeled using a quartic polynomial function to capture non-linear market dynamics that are inadequately represented by conventional linear or quadratic forms. A constant deterioration rate is assumed over the product life cycle, and planned shortages with complete backordering are permitted. The inventory evolution is described by first-order differential equations, yielding closed-form analytical expressions for inventory levels and optimal replenishment decisions. The optimal policy is obtained by minimizing the total relevant cost with respect to the cycle length and shortage duration. Numerical experiments and parametric sensitivity analyses validate the model and demonstrate the effects of demand coefficients and deterioration parameters on cost-efficient inventory strategies.},
        keywords = {Quartic polynomial demand; Constant deterioration rate; Planned shortages; Complete backordering; Inventory optimization; Nonlinear demand.},
        month = {February},
        }