TWO-WAREHOUSE INVENTORY MODEL FOR MAXIMUM LIFETIME ITEMS CONSIDERING CAPITAL REDUNDANCY UNDER ADVANCE PAYMENT

Authors

  • Zaharaddeen H. Aliyu
    Nigerian Defence Academy, Kaduna
  • Zainab Adamu
    Nigerian Defence Academy, Kaduna
  • Amina A. Malumfashi
    Kaduna Polytechnic
  • Nafisat L. Mukhtar
    Kaduna Polytechnic

Keywords:

First-in-First-out, Maximum lifetime items, Two-warehouse, Advance payment

Abstract

Maintaining inventory of deteriorating items is an enormous task owing to their nature. These items do not only deteriorate but also expire with time. This prompt investigating both instantaneously and non- instantaneously deteriorating items that have maximum lifetime under different conditions due to their complexity. The models for those items have been developed under different promotional tools such as trade credit and discounts. However, they are yet to be explored under advance payment scheme in a capacity-constrained environment. In this work, an inventory model has been developed considering maximum lifetime items under two-warehouse. The dispatching policy adopted is First-in First-out (FIFO) due to the fact that freshness of items is considered more important than economic reasons. Advance payment was incorporated into the model to make it more practical especially in developing nations where competition to get the order from the supplier, when placed by the retailer, is high. With the help of several realistic cases, cost functions were obtained and numerical example is given as an illustration of the model. The result showed that the goods in the rented warehouse (RW) finishes at 0.746 while the replenishment cycle ends at 0.956 indicating that the retailer incurred a larger holding costs.  From the sensitivity analysis, it was found that the longer the lifetime of an item, the smaller the total cost incurred by the retailer indicating that it is better for the retailer to order items with bigger lifetime from the managerial point of view.

Author Biographies

Zainab Adamu

Zanab Adamu is currently pursuing her PhD in Inventory Management under the supervision of Dr ZH Aliyu in the Department of Mathematical Sciences of Nigerian Defence cademy, Kaduna

Amina A. Malumfashi

Mrs Amina Malumfashi is currently a staff n the Department of Mathematics and Statistics of the Kaduna Polytechnich. She has bagged MSc Mathematics from the Nigerian Defence Academy, Kaduna. Her research interest is in Inventory Management

Nafisat L. Mukhtar

Mrs Nafisat is currently a lecturer 1 with the Kaduna Polytechnic

Dimensions

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Published

15-10-2025

How to Cite

Aliyu, Z. H., Adamu, Z., Malumfashi, A. A., & Mukhtar, N. L. (2025). TWO-WAREHOUSE INVENTORY MODEL FOR MAXIMUM LIFETIME ITEMS CONSIDERING CAPITAL REDUNDANCY UNDER ADVANCE PAYMENT. FUDMA JOURNAL OF SCIENCES, 9(10), 335-338. https://doi.org/10.33003/fjs-2025-0910-3873

How to Cite

Aliyu, Z. H., Adamu, Z., Malumfashi, A. A., & Mukhtar, N. L. (2025). TWO-WAREHOUSE INVENTORY MODEL FOR MAXIMUM LIFETIME ITEMS CONSIDERING CAPITAL REDUNDANCY UNDER ADVANCE PAYMENT. FUDMA JOURNAL OF SCIENCES, 9(10), 335-338. https://doi.org/10.33003/fjs-2025-0910-3873