Title: A retailer's inventory model for deteriorating items under power pattern demand with shortages partially backlogged in both crisp and fuzzy environments

Authors: Sourav Kumar Patra; Susanta Kumar Paikray; Rudra Mohan Tripathy

Addresses: Department of Mathematics, Veer Surendra Sai University of Technology, Burla – 768018, Odisha, India ' Department of Mathematics, Veer Surendra Sai University of Technology, Burla – 768018, Odisha, India ' School of Computer Science and Engineering, XIM University, Bhubaneswar – 752050, Odisha, India

Abstract: An inventory predicament can be resolved with numerous techniques, starting from the trial-and-error manner of mathematical and simulation methods. Mathematical methods always serve as powerful tools for minimising total inventory costs. In this paper, we have considered a retailer's inventory problem in order to determine an optimal strategy that minimises the total inventory cost under various constraints. Here, the constraints include constant deterioration, power-pattern demand, permissible shortages, partial backlog, different inventory costs, and inherent imprecision of various expenses concerning the current scenario. Subsequently, we develop the mathematical model of the problem together with its solving policy in a crisp as well as fuzzy environments. Moreover, we provide several numerical illustrations to validate our findings. Finally, we present several managerial insights for inventory managers based on the sensitivity analysis of associated parameters.

Keywords: inventory optimisation; power demand; deterioration; partial backlogging; triangular fuzzy numbers; signed distance method.

DOI: 10.1504/IJISE.2025.144083

International Journal of Industrial and Systems Engineering, 2025 Vol.49 No.1, pp.96 - 118

Received: 25 Feb 2023
Accepted: 24 Jul 2023
Published online: 27 Jan 2025 *