Study of a production inventory policy with finite products life, few imperfect products and demand reliant on stock-level

Sandeep Kumar, Robin Singh, Mukesh Kumar, Birjesh Kumar, Deepak Kumar and Rahul Singh

International Journal of Mathematics in Operational Research, 2026, vol. 33, issue 2, 184-197

Abstract: The current work is about an inventory policy that permits a few imperfect products for reproduction, and this permission results in some deterioration. The life of products is considered finite, and demand is taken as stock-level dependent. The model has additionally taken into consideration the consistent manufacturing rate, which ends after a favoured stage of stocks, and that is the top stage of it. Caused by demand for products, imperfect items, and decay in products, the inventory lowers to zero, at which point the manufacturing cycle begins once more. To verify and illustrate the study, some numerical examples are carried out and bound to delineate the use and appropriateness of the inventory policy. Also, a sensitivity analysis is presented. The present study finds the entire optimal inventory cost, the optimal ordering cost, and the ordering cycle that maximise the expected total prot per unit of time.

Keywords: production; imperfect products; stock-level; deterioration; optimal. (search for similar items in EconPapers)
Date: 2026
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