Title: Price dependent demand and inflation deteriorating inventory model with shortages

Authors: Nilesh Kumar; Quazzafi Rabbani; Nurul Azeez Khan

Addresses: Department of Mathematics and Statistics, Integral University, Lucknow, India ' Department of Mathematics and Statistics, Integral University, Lucknow, India ' Department of Mathematics, DAV PG College, Azamgarh, India

Abstract: The aim of this research is to develop a model of declining stock levels and shortages in an environment of price-dependent consumer demand and inflation. The purpose of this model is to have a conversation on how to handle an inventory system for perishable goods when demand is price-dependent on supply. Here, it is believed that shortages will occur and inflation will be used to make up for some of the shortfall. As a result, the economic order quantity is calculated to maximise profits per unit of time.

Keywords: deteriorating; shortages; inventory model; price dependent demand; inflation.

DOI: 10.1504/IJOR.2026.155588

International Journal of Operational Research, 2026 Vol.56 No.3, pp.314 - 326

Received: 21 Apr 2023
Accepted: 23 Dec 2023
Published online: 06 Aug 2026 *

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