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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Main Authors: Vandana, Shiv Raj Singh, Mitali Sarkar, Biswajit Sarkar
Format: Article
Language:English
Published: MDPI AG 2023-01-01
Series:Mathematics
Subjects:
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.
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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
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AT biswajitsarkar effectoflearningandforgettingoninventorymodelundercarbonemissionandagilemanufacturing