Cost-Effective Imperfect Production-Inventory System under Variable Production Rate and Remanufacturing

Baishakhi Ganguly, Bikash Koli Dey, Sarla Pareek and Biswajit Sarkar ()
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Baishakhi Ganguly: Department of Mathematics, Sheoraphuli Surendranath Vidyaniketan for Girls’ High School, Hooghly 712223, West Bengal, India
Bikash Koli Dey: Department of Industrial & Data Engineering, Hongik University, Wausan-ro 94, Mapo-gu, Seoul 04066, Republic of Korea
Sarla Pareek: Department of Mathematics & Statistics, Banasthali Vidyapith, Banasthali 304022, Rajasthan, India
Biswajit Sarkar: Department of Industrial Engineering, Yonsei University, 50 Yonsei-ro, Sinchon-dong, Seodaemun-gu, Seoul 03722, Republic of Korea

Mathematics, 2023, vol. 11, issue 15, 1-24

Abstract: Several industries are facing many challenges in their production systems due to increasing customer demand. Customer demand is growing for products with innovative features that are flexible, good quality, and appealing. This paper presents a flexible production-inventory system that produces multiple parts of a product. Defective products may be produced during the production process. Those defective products are remanufactured immediately after inspection. Limited budget and space constraints are considered, along with product assembly. Based on different distribution functions, non-linear equations are calculated using the Kuhn–Tucker optimization technique. Numerical examples, a graphical representation, and sensitivity analysis are presented in this paper. The solution procedure evaluates the minimization of the total investment based on the χ 2 distribution. This study examines electronic products those are more likely to be defective rather than perfect during production.

Keywords: flexible manufacturing; remanufacturing; product assembling; random defective rate; backorders; space and budget constraints (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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