Optimizing Defective Product Distribution for Sustainability  and Profitability in Manufacturing Model under Neutrosophic  Environment

B. Priskilla; B. Baranidharan; G. S. Mahapatra

Authors

B. Priskilla Department of mathematics, National Institute of Technology Puducherry, Karaikal-609609, India;
B. Baranidharan Department of mathematics, National Institute of Technology Puducherry, Karaikal-609609, India;
G. S. Mahapatra Department of mathematics, National Institute of Technology Puducherry, Karaikal-609609, India;

Keywords:

Inventory; Quality dependent demand; Preservation technology; Defective items; Deterioration.

Abstract

This study investigates the challenges associated with defective product distribution in manufac
turing industries, contributing to environmental degradation, resource wastage, and financial losses. A mathe
matical model is developed to address these issues, integrating a screening mechanism to identify and rework
defective items, transforming them into usable products. Additionally, the model incorporates supplier dis
counts on defective items as an incentive for sustainable practices. Preservation technology is employed to
mitigate product deterioration and enhance overall profitability. The proposed framework accounts for multiple
demand-influencing factors, including price, stock levels, product quality, advertising, shortages, and backlog
ging. By employing both crisp and fuzzy mathematical approaches, the optimal solution is derived through an
advanced defuzzification technique within a generalized triangular neutrosophic environment. A comprehensive
numerical example and sensitivity analysis validate the model’s effectiveness under fuzzy conditions, highlight
ing its potential to enhance economic and environmental sustainability in practical manufacturing scenarios.

DOI: 10.5281/zenodo.15492783