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Research Article | Open Access

Sustainable green production model considering variable demand, partial outsourcing, and rework

Raj Kumar Bachar1Shaktipada Bhuniya2Santanu Kumar Ghosh1Biswajit Sarkar3,4( )
Department of Mathematics, Kazi Nazrul University, Asansol 713340, West Bengal, India
Department of Mathematics & Statistics, Banasthali Vidyapith, Rajasthan 304 022, India
Department of Industrial Engineering, Yonsei University, 50 Yonsei-ro, Sinchon-dong, Seodaemun-gu, Seoul 03722, South Korea
Center for Transdisciplinary Research (CFTR), Saveetha Dental College, Saveetha Institute of Medical and Technical Sciences, Saveetha University, 162, Poonamallee High Road, Velappanchavadi, Chennai, Tamil Nadu 600077, India
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Abstract

Social activities, economic benefits, and environmental friendly approach are very much essential for a sustainable production system. This is widely observed during the Covid-19 pandemic situation. The demand for essential goods in the business sector is always changing due to different unavoidable situations. The proposed study introduces a variable demand for controlling the fluctuating demand. However, a reworking of produced imperfect products makes the production model more profitable. Partial outsourcing of the good quality products has made the production system more popular and profitable. Separate holding cost for the reworked and produced products are very helpful idea for the proposed model. Moreover, consumption of energy during various purpose are considered. Separate green investment make the model more sustainable and eco-friendly. The main focus of the model is to find the maximum profit through considering optimum value of lot size quantity, average selling price, and green investment. The classical optimization technique is utilized here for optimizing the solution theoretically. The use of concave 3D graphs, different examples, and sensitivity analyses are considered here. Furthermore, managerial insights from this study can be used for industry improvement.

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AIMS Environmental Science
Pages 325-353

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Cite this article:
Bachar RK, Bhuniya S, Ghosh SK, et al. Sustainable green production model considering variable demand, partial outsourcing, and rework. AIMS Environmental Science, 2022, 9(3): 325-353. https://doi.org/10.3934/environsci.2022022

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Received: 05 March 2022
Revised: 01 May 2022
Accepted: 31 May 2022
Published: 15 June 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)