Title: An optimal inventory system under markdown dependent demand environment

Authors: Sonia Dua; Sandeep Kumar Mogha; Himani Dem

Addresses: Department of Mathematics, Chandigarh University, Mohali, Punjab, 410143, India ' Department of Mathematics, Chandigarh University, Mohali, Punjab, 410143, India ' Department of Mathematics, Ramjas College, University of Delhi, New Delhi, 110007, India

Abstract: In this article, a deterministic inventory model for deteriorating items is studied with markdown dependent demand under discount for inventory management. The discount policy has been used to moderate the inventory and growth of profit or rate of sale. A model developed gives the maximum annual profit and established the relationship between demand dependent factors and discount policy. Sensitivity analysis studies behaviour of the model against the changes in some key parameters.

Keywords: inventory model; markdown dependent demand; discount policy; carbon emission.

DOI: 10.1504/IJMOR.2026.152316

International Journal of Mathematics in Operational Research, 2026 Vol.33 No.2, pp.215 - 237

Received: 07 Oct 2023
Accepted: 09 Jan 2024
Published online: 16 Mar 2026 *

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