Mathematical Biosciences and Engineering (Jan 2023)

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

DOI
https://doi.org/10.3934/mbe.2023062
Journal volume & issue
Vol. 20, no. 1
pp. 1376 – 1401

Abstract

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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.

Keywords