Title: Optimal inventory policy under price and time-dependent demand and partial backlogging supported by preservation strategy

Authors: S. Loganayaki; K. Kirupa

Addresses: Department of Mathematics, Avinashilingam Institute for Home Science and Higher Education for Women, Coimbatore, Tamilnadu – 641043, India ' Department of Mathematics, Avinashilingam Institute for Home Science and Higher Education for Women, Coimbatore, Tamilnadu – 641043, India

Abstract: The present study outlines an inventory model for non-instantaneous deteriorating items with an investment in preservation technology. The deterioration rate is modelled using a two-parameter Weibull distribution, and customer demand is dependent on both time and selling price. Accordingly, the demand rate is a multiplication of a power time function and an exponential price function. The inventory system permits partial backlogging of demand. Additionally, the supplier extends a trade credit facility to the retailer for the smooth operation of the business. Three cases are analysed based on the credit facility. The primary objective of the study is to ascertain the maximum profit by identifying the optimal values for preservation technology investment, selling price, positive inventory time, and cycle time. An algorithm for profit maximisation is formulated and validated through numerical examples. Subsequently, a sensitivity analysis is conducted, and the study provides valuable managerial insights derived from the findings.

Keywords: inventory; non-instantaneous deterioration; Weibull distribution; nonlinear holding cost; power demand pattern; partial backlogging; trade credit; preservation technology investment.

DOI: 10.1504/IJPM.2025.145093

International Journal of Procurement Management, 2025 Vol.22 No.4, pp.450 - 485

Received: 11 Jan 2024
Accepted: 18 Jan 2024
Published online: 19 Mar 2025 *

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