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{190173,
        author = {S. Ramya and D. Sivakumar},
        title = {An Economic Order Quantity Model with Quartic Demand, Weibull Deterioration and Time-Dependent Partial Backlogging},
        journal = {International Journal of Innovative Research in Technology},
        year = {2026},
        volume = {12},
        number = {8},
        pages = {3401-3410},
        issn = {2349-6002},
        url = {https://ijirt.org/article?manuscript=190173},
        abstract = {This paper develops an Economic Order Quantity (EOQ) model for deteriorating items characterized by a quartic demand pattern, Weibull distributed deterioration rate, and time-dependent partial backlogging. The demand rate is assumed to follow a quartic function of time, representing products whose demand may rise and fall in multiple phases during their life cycle. The deterioration of items is modelled using a two-parameter Weibull distribution, which effectively captures a wide range of deterioration behaviours. Shortages are permitted and partially backlogged, with the backlogging rate considered as a decreasing function of the waiting time. The total cost function of the inventory system is formulated by integrating ordering, holding, deterioration, and shortage costs. Analytical expressions are derived to determine the optimal cycle time and order quantity that minimize the total average cost. A numerical example is provided to illustrate the applicability of the model, followed by a sensitivity analysis to examine the influence of key parameters on the optimal solution. The results reveal that both demand and deterioration parameters significantly affect the optimal inventory policy, offering valuable insights for decision-makers handling time-sensitive and deteriorating items.},
        keywords = {Quartic Demand, Weibull Deterioration and Time-Dependent Partial Backlogging},
        month = {January},
        }