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

Authors: Sandeep Kumar; Robin Singh; Mukesh Kumar; Birjesh Kumar; Deepak Kumar; Rahul Singh

Addresses: Department of Mathematics, Graphic Era Hill University, Dehradun, India ' Department of Mathematics, Graphic Era Hill University, Dehradun, India ' Graphic Era (Deemed to be University), Dehradun, India ' Department of Statistics, Ramanujan College University of Delhi, India ' Department of Mathematics, Ramanujan College, University of Delhi, India ' Department of Mathematics, Ramanujan College, University of Delhi, India

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.

DOI: 10.1504/IJMOR.2026.152322

International Journal of Mathematics in Operational Research, 2026 Vol.33 No.2, pp.184 - 197

Received: 20 Mar 2024
Accepted: 21 Apr 2024
Published online: 16 Mar 2026 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article