Inventory Model for Deteriorating Items Having Linear Time Dependent Demand Under Downstream Trade Credit

Authors

  • Amina Malumfashi Department of Mathematics and Statistics, Kaduna Polytechnic
  • Zaharaddeen Aliyu Dept of Mathematical Sciences, Nigerian Defence Academy, Kaduna
  • Sani Dari Department of Mathematics, Kaduna State University

Keywords:

Deterioration, Inventory, Trade credit, Linear demand, Downstream

Abstract

In the literature, either upstream or two-level trade credit was considered in developing inventory
models for deteriorating items. Thus, in this study, downstream trade credit is considered only in
developing an inventory model for deteriorating items. The demand is assumed to be linearly dependent
on time. Cost functions of the model were derived and convexity of the cost functions was established.
As an illustration of the performance of the model, numerical examples is given. Sensitivity analysis
was carried out to test the importance of the model parameters. From the result of the numerical
example, it shows that the total annual relevant costs in the second case is the least and present the
optimal case.

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Published

2023-09-30

How to Cite

Malumfashi, A. ., Aliyu, Z., & Dari, S. (2023). Inventory Model for Deteriorating Items Having Linear Time Dependent Demand Under Downstream Trade Credit. Academy Journal of Science and Engineering, 17(1), 60–76. Retrieved from https://ajse.academyjsekad.edu.ng/index.php/new-ajse/article/view/303