Sustainable inventory model with controlled temperature for deteriorating products under preservation technology

¹ Department of Mathematics, D.A.V.P.G. College, Maharaja Suhel Dev State University, Azamgarh 276001, Uttar Pradesh, India
² Department of Industrial Engineering, Yonsei University, 50 Yonsei-ro, Sinchon-dong, Seodaemun-gu, Seoul 03722, South Korea
³ Center for Transdisciplinary Research (CFTR), Saveetha Dental College, Saveetha Institute of Medical and Technical Sciences, Saveetha University, 162, Poonamallee High Road, Velappanchavadi, Chennai 600077, Tamil Nadu, India
⁴ Department of Mathematics, Lovely Professional University, Phagwara, Punjab 144411, India
⁵ Department of Mathematics, C.C.S University Meerut, Meerut, Uttar Pradesh 250004, India
⁶ Department of Mathematics, Meerut College, Meerut, Uttar Pradesh 250003, India
⁷ Department of Hospitality and Tourism Management, Sejong University, 209 Neungdong-ro (Gunja-dong), Gwangjin-gu, Seoul 05006, South Korea

^* Corresponding author: bsbiswajitsarkar@gmail.com

Received: 18 August 2022
Accepted: 6 December 2024

Abstract

The disaster or epidemic has created a terrible situation in front of the whole world. This study saves the corona vaccine’s quality and keeps its demand in mind. This study develops an inventory model for deteriorating products with preservation technology investment under ramp-type demand. Reducing the deterioration rate of items reduces the number of waste items, which is beneficial for the environment. The demand increases at the ramp-type demand rate at the start, and then the market tends to a constant rate until the end of the inventory cycle. Retailers are attempting to reduce emissions, which impacts inventory levels. The impact of carbon emissions from holding and deterioration costs has been investigated in this study. This study allows partial backlogging and shortages. The numerical part shows the minimized total cost of this study. The numerical findings indicate that the value of total cost increases due to carbon emissions. The study is analyzed for two cases: Case I shows a difference of 0.45% in total cost due to carbon emission, while Case II shows a difference of 0.20% in total cost due to carbon emission. Carbon emissions and preservation technology have a significant impact on environmental preservation. Finally, numerical examples and graph representation for convexity of total cost and sensitivity analysis are provided to illustrate.