Title: Replenishment decision for ameliorating inventory with time dependent demand and partial backlogging rate

Authors: Yusuf Ibrahim Gwanda; Vijay Vir Singh

Addresses: Department of Mathematics, Kano University of Science and Technology, Wudil, Kano, Nigeria ' Department of Mathematics, Yusuf Maitama Sule University, Kano, Nigeria

Abstract: In contrast to deterioration, amelioration refers to a situation where stocked items incur increased value, quantity, or utility while in stock. It is generally seen in poultry, piggeries, wine industries, etc.; when these items are kept in the farm or the sales counter, they usually incur increase in quantity and value. In this research, we study an inventory model that outlines the optimal replenishment decision for ameliorating items with a partially backlogged time-varying demand rate to raise productivity and understand opportunity cost due to lost sales. Until recently, most of the research in inventory has been focused essentially on deteriorating inventory, giving little or no attention to its ameliorative nature. Therefore, in this research, we developed an EOQ model for such items with time dependent demand and partial backlogging rate. Using differential calculus concept, the various inventory optimising functions, like total cost, number of replenishments, backlogging factors, etc., are computed.

Keywords: ameliorating inventory; time dependent demand; replenishment decision; partial backlogging; lost sales.

DOI: 10.1504/IJOR.2023.129958

International Journal of Operational Research, 2023 Vol.46 No.4, pp.571 - 584

Received: 15 Jul 2020
Accepted: 26 Aug 2020
Published online: 04 Apr 2023 *

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