Title: Effects of variable setup cost, reliability, and production costs under controlled carbon emissions in a reliable production system

Authors: Ilkyeong Moon; Won Young Yun; Biswajit Sarkar

Addresses: Department of Industrial Engineering, Seoul National University, Seoul 08826, South Korea; Institute for Industrial Systems Innovation, Seoul National University, Seoul 08826, South Korea ' Department of Industrial Engineering, Pusan National University, Busan 46241, South Korea ' Department of Industrial Engineering, Yonsei University, 50 Yonsei-ro, Sinchon-dong, Seodaemun-gu, Seoul 03722, South Korea; Department of Computer Science and Engineering, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Saveetha University, 162, Poonamallee High Road, Velappanchavadi, Chennai, Tamil Nadu 600077, India

Abstract: Although important for production industries to reach fully sustainable manufacturing processes, those implementing production systems face challenges in reaching this reliability goal. In this direction, a production system is modelled through a basic economic-production paradigm under carbon emissions with a storage constraint and demand-dependent unit production cost. More reliable production houses produce fewer defective products than the unreliable production system. As the model contains a power-function, a geometric programming procedure is employed to obtain a quasi-closed form of the optimal solution. A numerical example based on data from the literature and a case study based on industry data, are provided to demonstrate geometric programming as a valuable analytical tool to resolve this type of problem for a production system under carbon emissions. Finally, a sensitivity analysis and graphical illustration are provided to illustrate the model. Numerical results show that the production system becomes completely reliable when the recommended model is used. [Submitted: 18 May 2019; Accepted: 8 March 2021]

Keywords: manufacturing systems; production design; geometric programming; inventory; variable production cost.

DOI: 10.1504/EJIE.2022.123748

European Journal of Industrial Engineering, 2022 Vol.16 No.4, pp.371 - 397

Accepted: 08 Mar 2021
Published online: 01 Jul 2022 *

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