Effect of Learning and Forgetting on Inventory Model under Carbon Emission and Agile Manufacturing
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 f...
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Format: | Article |
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MDPI AG
2023-01-01
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Series: | Mathematics |
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Online Access: | https://www.mdpi.com/2227-7390/11/2/368 |
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author | Vandana Shiv Raj Singh Mitali Sarkar Biswajit Sarkar |
author_facet | Vandana Shiv Raj Singh Mitali Sarkar Biswajit Sarkar |
author_sort | Vandana |
collection | DOAJ |
description | 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. |
first_indexed | 2024-03-09T11:46:04Z |
format | Article |
id | doaj.art-0b96f15a75364920859b9407ae50933c |
institution | Directory Open Access Journal |
issn | 2227-7390 |
language | English |
last_indexed | 2024-03-09T11:46:04Z |
publishDate | 2023-01-01 |
publisher | MDPI AG |
record_format | Article |
series | Mathematics |
spelling | doaj.art-0b96f15a75364920859b9407ae50933c2023-11-30T23:21:13ZengMDPI AGMathematics2227-73902023-01-0111236810.3390/math11020368Effect of Learning and Forgetting on Inventory Model under Carbon Emission and Agile ManufacturingVandana0Shiv Raj Singh1Mitali Sarkar2Biswajit Sarkar3Department of Mathematics, Inderprastha Engineering College, Ghaziabad 201010, IndiaDepartment of Mathematics, Chaudhary Charan Singh University, Meerut 250001, IndiaDepartment of Industrial and Management Engineering, Pohang University of Science and Technology, 77, Cheongam-ro, Nam-gu, Pohang-si 37673, Republic of KoreaDepartment of Industrial Engineering, Yonsei University, 50 Yonsei-ro, Sinchon-dong, Seodaemun-gu, Seoul 03722, Republic of KoreaThe 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.https://www.mdpi.com/2227-7390/11/2/368learning and forgettingcarbon emissiondeterioration rateagile manufacturing |
spellingShingle | Vandana Shiv Raj Singh Mitali Sarkar Biswajit Sarkar Effect of Learning and Forgetting on Inventory Model under Carbon Emission and Agile Manufacturing Mathematics learning and forgetting carbon emission deterioration rate agile manufacturing |
title | Effect of Learning and Forgetting on Inventory Model under Carbon Emission and Agile Manufacturing |
title_full | Effect of Learning and Forgetting on Inventory Model under Carbon Emission and Agile Manufacturing |
title_fullStr | Effect of Learning and Forgetting on Inventory Model under Carbon Emission and Agile Manufacturing |
title_full_unstemmed | Effect of Learning and Forgetting on Inventory Model under Carbon Emission and Agile Manufacturing |
title_short | Effect of Learning and Forgetting on Inventory Model under Carbon Emission and Agile Manufacturing |
title_sort | effect of learning and forgetting on inventory model under carbon emission and agile manufacturing |
topic | learning and forgetting carbon emission deterioration rate agile manufacturing |
url | https://www.mdpi.com/2227-7390/11/2/368 |
work_keys_str_mv | AT vandana effectoflearningandforgettingoninventorymodelundercarbonemissionandagilemanufacturing AT shivrajsingh effectoflearningandforgettingoninventorymodelundercarbonemissionandagilemanufacturing AT mitalisarkar effectoflearningandforgettingoninventorymodelundercarbonemissionandagilemanufacturing AT biswajitsarkar effectoflearningandforgettingoninventorymodelundercarbonemissionandagilemanufacturing |