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Article

Effect of Learning and Forgetting on Inventory Model under Carbon Emission and Agile Manufacturing

1
Department of Mathematics, Inderprastha Engineering College, Ghaziabad 201010, India
2
Department of Mathematics, Chaudhary Charan Singh University, Meerut 250001, India
3
Department of Industrial and Management Engineering, Pohang University of Science and Technology, 77, Cheongam-ro, Nam-gu, Pohang-si 37673, Republic of Korea
4
Department of Industrial Engineering, Yonsei University, 50 Yonsei-ro, Sinchon-dong, Seodaemun-gu, Seoul 03722, Republic of Korea
5
Center for Transdisciplinary Research (CFTR), Saveetha Dental College, Saveetha Institute of Medical and Technical Sciences, Saveetha University, 162, Poonamallee High Road, Velappanchavadi, Chennai 600077, India
*
Author to whom correspondence should be addressed.
Mathematics 2023, 11(2), 368; https://doi.org/10.3390/math11020368
Submission received: 11 November 2022 / Revised: 25 December 2022 / Accepted: 5 January 2023 / Published: 10 January 2023

Abstract

The aim of this study is to examine the learning and forgetting effect on a manufacturer’s production process with volume agility and carbon emission costs. During COVID-19, the learning rate becomes very low, and the forgetting rate becomes very high. That is why, the analysis of the learning and forgetting effects on the production process is very important. This research finds an effect of learning and forgetting on the manufacturer and on reducing the unit manufacturing cost. Here, the production rate is a function of the number of units produced, and it is taken as a decision variable through agile manufacturing. Here, the Weibull deterioration rate is used, and the production process is subject to the learn–forget–learn policy. Here, a carbon emission cost is introduced into the setup/ordering cost, holding cost, and item cost for the manufacturer. The effect of learning and forgetting is analyzed through numerical examples.
Keywords: learning and forgetting; carbon emission; deterioration rate; agile manufacturing learning and forgetting; carbon emission; deterioration rate; agile manufacturing

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MDPI and ACS Style

Vandana; Singh, S.R.; Sarkar, M.; Sarkar, B. Effect of Learning and Forgetting on Inventory Model under Carbon Emission and Agile Manufacturing. Mathematics 2023, 11, 368. https://doi.org/10.3390/math11020368

AMA Style

Vandana, Singh SR, Sarkar M, Sarkar B. Effect of Learning and Forgetting on Inventory Model under Carbon Emission and Agile Manufacturing. Mathematics. 2023; 11(2):368. https://doi.org/10.3390/math11020368

Chicago/Turabian Style

Vandana, Shiv Raj Singh, Mitali Sarkar, and Biswajit Sarkar. 2023. "Effect of Learning and Forgetting on Inventory Model under Carbon Emission and Agile Manufacturing" Mathematics 11, no. 2: 368. https://doi.org/10.3390/math11020368

APA Style

Vandana, Singh, S. R., Sarkar, M., & Sarkar, B. (2023). Effect of Learning and Forgetting on Inventory Model under Carbon Emission and Agile Manufacturing. Mathematics, 11(2), 368. https://doi.org/10.3390/math11020368

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