Product outsourcing policy for a sustainable flexible manufacturing system with reworking and green investment

Raj Kumar Bachar; Shaktipada Bhuniya; Santanu Kumar Ghosh; Ali AlArjani; Elawady Attia; Md. Sharif Uddin; Biswajit Sarkar; Raj Kumar Bachar; Shaktipada Bhuniya; Santanu Kumar Ghosh; Ali AlArjani; Elawady Attia; Md. Sharif Uddin; Biswajit Sarkar

doi:10.3934/mbe.2023062

Mathematical Biosciences and Engineering

2023, Volume 20, Issue 1: 1376-1401. doi: 10.3934/mbe.2023062

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Product outsourcing policy for a sustainable flexible manufacturing system with reworking and green investment

1.
Department of Mathematics, Kazi Nazrul University, Asansol 713340, West Bengal, India
2.
Department of Mathematics & Statistics, Banasthali Vidyapith, Rajasthan 304022, India
3.
Industrial Engineering Department, College of Engineering, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia
4.
Mechanical Engineering Department, Faculty of Engineering (Shoubra), Benha University, Cairo, Egypt
5.
Department of Mechanical and Industrial Engineering, College of Engineering, Prince Sattam Bin Abdulaziz University, Al-kharj 11942, Saudi Arabia
6.
Department of Mathematics, Jahangirnagar University, Savar, Dhaka 1342, Bangladesh
7.
Department of Industrial Engineering, Yonsei University, 50 Yonsei-ro, Sinchon-dong, Seodaemun-gu, Seoul 03722, South Korea
8.
Center for Transdisciplinary Research (CFTR), Saveetha Institute of Medical and Technical Sciences, Saveetha University, Velappanchavadi, Tamil Nadu 600077, India

Academic Editor: Jeffrey Yi-Lin Forrest

Received: 16 July 2022 Revised: 19 September 2022 Accepted: 23 September 2022 Published: 28 October 2022

Production of defective products is a very general phenomenon. But backorder and shortages occur due to this defective product, and it hampers the manufacturer's reputation along with customer satisfaction. That is why, these outsourced products supply, a portion of required products for in-line production. This study develops a flexible production model that reworks repairable defective products and outsources products to prevent backlogging. A percentage of total in-line production is defective products, which is random, and those defective products are repairable. A green investment helps the reworking process, which has a direct impact on the market demand for products. A classical optimization solves the profit maximization model, and a numerical method proves the global optimal solutions. Sensitivity analysis, managerial insights, and discussions provide the highlights and decision-making strategies for the applicability of this model.
- flexible production,
- outsourcing,
- reworking,
- green investment,
- sustainability
Citation: Raj Kumar Bachar, Shaktipada Bhuniya, Santanu Kumar Ghosh, Ali AlArjani, Elawady Attia, Md. Sharif Uddin, Biswajit Sarkar. Product outsourcing policy for a sustainable flexible manufacturing system with reworking and green investment[J]. Mathematical Biosciences and Engineering, 2023, 20(1): 1376-1401. doi: 10.3934/mbe.2023062

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Abstract

Production of defective products is a very general phenomenon. But backorder and shortages occur due to this defective product, and it hampers the manufacturer's reputation along with customer satisfaction. That is why, these outsourced products supply, a portion of required products for in-line production. This study develops a flexible production model that reworks repairable defective products and outsources products to prevent backlogging. A percentage of total in-line production is defective products, which is random, and those defective products are repairable. A green investment helps the reworking process, which has a direct impact on the market demand for products. A classical optimization solves the profit maximization model, and a numerical method proves the global optimal solutions. Sensitivity analysis, managerial insights, and discussions provide the highlights and decision-making strategies for the applicability of this model.

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