Inventory Optimization for Non-Instantaneous Deteriorating Items Under Retailer’s Trade Credit and Partial Backlogging

Authors

  • Lois Iretide Oluwafemi Department of Mathematical Sciences, Nigerian Defence Academy, Kaduna – Nigeria Author
  • Zaharaddeen Haruna Aliyu Department of Mathematical Sciences, Nigerian Defence Academy, Kaduna – Nigeria Author

DOI:

https://doi.org/10.56919/usci.2651.027

Keywords:

Non-instantaneous deterioration, Time dependent demand, Downstream Trade Credit, Partial Backlogging, Inventory optimization

Abstract

In this research, an inventory model is developed for non-instantaneous deteriorating items with time-dependent demand under the retailer’s trade credit and partial backlogging. In the model, the retailer receives no trade credit from the supplier but offers trade credit to customers. Payment strategies for the retailer were adopted in calculating the interest associated with the trade credit. The cost function was obtained and optimized using the gradient method. To illustrate the model, numerical examples are provided. The results show that case 1 scenario 2 with  and  produced the highest profit of . Sensitivity analyses carried out to examine the influence of the inventory parameters showed that decreases in h by 10% and N by 20% lead to higher profit, indicating that decreases in holding costs and offering customers trade credit can lead to higher profitability and better decisions. From a managerial point of view, it is advised that retailers should regularly extend trade credit to customers to reduce item overstay and earn higher profits.

Author Biographies

  • Lois Iretide Oluwafemi, Department of Mathematical Sciences, Nigerian Defence Academy, Kaduna – Nigeria

    Lois Iretide Oluwafemi is a student  in the Department of Mathematical Sciences, Nigerian Defence Academy, Kaduna.

  • Zaharaddeen Haruna Aliyu, Department of Mathematical Sciences, Nigerian Defence Academy, Kaduna – Nigeria

    Zaharadden Haruna Aliyu is a lecturer in the Department of mathematical Sciences, Nigerian Defence Academy, Kaduna. His Research interest is Operational Research particularly in the supply chain management.

References

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Published

2026-03-27

Issue

Section

Articles

How to Cite

Oluwafemi, L. I., & Aliyu, Z. H. (2026). Inventory Optimization for Non-Instantaneous Deteriorating Items Under Retailer’s Trade Credit and Partial Backlogging. UMYU Scientifica, 5(1), 322-335. https://doi.org/10.56919/usci.2651.027

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