A sustainable smart production model for partial outsourcing and reworking

Raj Kumar Bachar; Shaktipada Bhuniya; Ali AlArjani; Santanu Kumar Ghosh; Biswajit Sarkar; Raj Kumar Bachar; Shaktipada Bhuniya; Ali AlArjani; Santanu Kumar Ghosh; Biswajit Sarkar

doi:10.3934/mbe.2023346

Mathematical Biosciences and Engineering

2023, Volume 20, Issue 5: 7981-8009. doi: 10.3934/mbe.2023346

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A sustainable smart production model for partial outsourcing and reworking

1.
Department of Mathematics, Kazi Nazrul University, Asansol 713340, West Bengal, India
2.
Department of Mathematics & Statistics, Banasthali Vidyapith, Rajasthan 304 022, India
3.
Department of Industrial Engineering, College of Engineering, Prince Sattam Bin Abdulaziz University, Al Kharj 11942, Saudi Arabia
4.
Department of Industrial Engineering, Yonsei University, 50 Yonsei-ro, Sinchon-dong, Seodaemun-gu, Seoul 03722, South 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, Tamil Nadu, India

Academic Editor: Danilo Pelusi

Received: 29 June 2022 Revised: 27 December 2022 Accepted: 05 January 2023 Published: 23 February 2023

Smart production plays a significant role to maintain good business terms among supply chain players in different situations. Adjustment in production uptime is possible because of the smart production system. The management may need to reduce production uptime to deliver products ontime. But, a decrement in production uptime reduces the projected production quantity. Then, the management uses a limited investment for pursuing possible alternatives to maintain production schedules and the quality of products. This present study develops a mathematical model for a smart production system with partial outsourcing and reworking. The market demand for the product is price dependent. The study aims to maximize the total profit of the production system. Even in a smart production system, defective production rate may be less but unavoidable. Those defective products are repairable. The model is solved by classical optimization. Results show that the application of a variable production rate of the smart production for variable market demand has a higher profit than a traditional production (52.65%) and constant demand (12.45%).
- smart production,
- remanufacturing,
- defective items,
- reworking,
- product outsourcing,
- carbon emissions
Citation: Raj Kumar Bachar, Shaktipada Bhuniya, Ali AlArjani, Santanu Kumar Ghosh, Biswajit Sarkar. A sustainable smart production model for partial outsourcing and reworking[J]. Mathematical Biosciences and Engineering, 2023, 20(5): 7981-8009. doi: 10.3934/mbe.2023346

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Abstract

Smart production plays a significant role to maintain good business terms among supply chain players in different situations. Adjustment in production uptime is possible because of the smart production system. The management may need to reduce production uptime to deliver products ontime. But, a decrement in production uptime reduces the projected production quantity. Then, the management uses a limited investment for pursuing possible alternatives to maintain production schedules and the quality of products. This present study develops a mathematical model for a smart production system with partial outsourcing and reworking. The market demand for the product is price dependent. The study aims to maximize the total profit of the production system. Even in a smart production system, defective production rate may be less but unavoidable. Those defective products are repairable. The model is solved by classical optimization. Results show that the application of a variable production rate of the smart production for variable market demand has a higher profit than a traditional production (52.65%) and constant demand (12.45%).

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