Mathematical Optimization and Fuzzy AHP for Efficient Warehouse Storage and Product Management

Abstract

This study focuses on mathematical modeling and optimization solutions for storage problems specifically regarding warehouse shelving and product management. A mathematical model was developed to analyze the arrangement of shelves and products with the aim of maximizing efficiency and optimal space usage. In this model warehouse shelf placement and capacity constraints were determined while considering cost minimization and effective space utilization. The model was then solved using optimization tools. Additionally an ABC analysis was conducted to prioritize products within the warehouse employing the Analytic Hierarchy Process (AHP) method to rank the items based on their importance. The AHP method allowed for a systematic evaluation of criteria such as demand value and turnover rate enabling more efficient decision-making. The results of this study highlight the potential improvements in warehouse management offering a structured approach to both shelf arrangement and product prioritization. The proposed model and analysis method contribute to increasing operational efficiency reducing costs and optimizing logistical processes in warehouse management. © 2025 Elsevier B.V. All rights reserved.