Ant Colony Optimization-Based Inventory Model forDeteriorating Items with Polynomial Demand and Time-Dependent Costs

  • Authors

    • Mohammed Abid Department of Mathematics, SRM Institute of Science and Technology, Delhi-NCR Campus, Ghaziabad, India
    • Ajay Singh Yadav Department of Mathematics, SRM Institute of Science and Technology, Delhi-NCR Campus, Ghaziabad, India
    • Bhavani Viswanathan Department of Library (Science and Humanities), SRM Institute of Science and Technology, Delhi-NCR Campus, Ghaziabad, India
    • Shikha Department of Mathematics, SRM Institute of Science and Technology, Delhi-NCR Campus, Ghaziabad, India
    https://doi.org/10.14419/62x80r05

    Received date: May 15, 2025

    Accepted date: May 25, 2025

    Published date: June 15, 2025

  • Inventory Mode; Deterioration; Polynomial Time Dependent Demand; Time Dependent Holding Cost and Shortage

  • Abstract

    This paper develops and analyses an advanced inventory model for deteriorating items with polynomial demand, quadratic deterioration, and ‎time-dependent holding costs under the condition of complete backlogging. The primary objective is to minimize the average total cost by ‎optimizing decision variables such as cycle length and order quantity. Due to the nonlinear and complex nature of the model, traditional ‎analytical methods may be insufficient or computationally intensive. To address this challenge, the study integrates Ant Colony Optimization ‎‎(ACO), a powerful metaheuristic inspired by the foraging behaviour of ants, to efficiently search for optimal inventory policies. Numerical ‎examples, graphical illustrations, and sensitivity analyses are provided to demonstrate the effectiveness of the proposed approach. The ‎results show that the ACO-based method achieves a significant reduction in total cost compared to conventional optimization techniques. This ‎research not only enhances the practical applicability of inventory models for deteriorating items but also demonstrates the potential of ACO ‎for solving complex, real-world supply chain and inventory management problems.

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  • How to Cite

    Abid , M. ., Yadav , A. S. ., Viswanathan , B. ., & Shikha. (2025). Ant Colony Optimization-Based Inventory Model forDeteriorating Items with Polynomial Demand and Time-Dependent Costs. International Journal of Basic and Applied Sciences, 14(2), 234-240. https://doi.org/10.14419/62x80r05