Title: Optimal inventory strategies for two-echelon supply chain system involving carbon emissions and fuzzy deterioration

Authors: S. Priyan; P. Mala; R. Gurusamy

Addresses: Department of Mathematics, Mepco Schlenk Engineering College, Virudhunagar 626005, Tamilnadu, India ' Department of Mathematics, Kamaraj College of Engineering and Technology, Virudhunagar 626001, Tamilnadu, India ' Department of Mathematics, Mepco Schlenk Engineering College, Virudhunagar 626005, Tamilnadu, India

Abstract: The industry sector is an vital direct and indirect source of carbon emissions. Today industries are looking for solutions to reduce carbon emissions associated with their operations. Operational adjustments, such as modifications in batch sizes or order quantities, have proven to be an effective way to decrease emissions. This paper provides a new mathematical model which integrate cost and emissions in transportation and storage to execute optimal operational adjustments for deteriorating products under the framework of two-echelon inventory system. The deterioration rate is treated as the triangular fuzzy number, and we use the extension principle to find the membership function of the fuzzy total cost and defuzzify by the centroid to find the estimate of the total cost in the fuzzy sense. Numerical example is performed to show the effectiveness of the proposed model, and several managerial insights are observed from sensitive analyses which may help both the government and the industry to adopt appropriate carbon reduction regulations.

Keywords: deteriorating product; fuzzy number; centroid method; carbon emission.

DOI: 10.1504/IJLSM.2020.111386

International Journal of Logistics Systems and Management, 2020 Vol.37 No.3, pp.324 - 351

Received: 19 Dec 2018
Accepted: 03 Feb 2019
Published online: 25 Nov 2020 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article