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An Application of Time-Dependent Holding Costs and System Reliability in a Multi-Item Sustainable Economic Energy Efficient Reliable Manufacturing System

Author

Listed:
  • Mitali Sarkar

    (Department of Industrial Engineering, Yonsei University, 50 Yonsei-ro, Sinchon-dong, Seodaemun-gu, Seoul 03722, Korea)

  • Sungjun Kim

    (Department of Industrial & Management Engineering, Hanyang University, Ansan, Gyeonggi-do 155 88, Korea)

  • Jihed Jemai

    (Department of Industrial Engineering, Hanyang University, Seoul 04763, Korea)

  • Baishakhi Ganguly

    (Department of Mathematics & Statistics, Banasthali Vidyapith, Rajasthan 304 022, India)

  • Biswajit Sarkar

    (Department of Industrial & Management Engineering, Hanyang University, Ansan, Gyeonggi-do 155 88, Korea)

Abstract

Sustainable efficient energy is the key factor of any sustainable manufacturing system. This study addresses a multi-item sustainable economic energy efficient reliable manufacturing quantity (MSEEERMQ) model. The manufacturing system produces defective products during long-runs, where those products may be reworked under the optimum effect of energy and carbon footprint with some costs. As all products are not sold immediately, the holding cost increases based on time. The management decides the system design variable to reduce energy consumption cost and increase system reliability under some time-dependent holding costs, and the optimum energy such that the maximum profit of the production model is obtained with a system reliability as a decision variable. The inflation and time-value of money are considered to calculate the cost of the production model under efficient energy. Using control theory, an Euler–Lagrange method is employed to obtain the sustainable critical path, which gives the optimal solution of the model. There are two lemmas to prove the global optimal solution of the model through the control theory. There is an illustrative example to test the model. Under different conditions there are other two examples with graphical representation and sensitivity analysis. Numerical studies reveal that maximum profit is obtained at the optimal value of the decision variable.

Suggested Citation

  • Mitali Sarkar & Sungjun Kim & Jihed Jemai & Baishakhi Ganguly & Biswajit Sarkar, 2019. "An Application of Time-Dependent Holding Costs and System Reliability in a Multi-Item Sustainable Economic Energy Efficient Reliable Manufacturing System," Energies, MDPI, vol. 12(15), pages 1-19, July.
    • Handle: RePEc:gam:jeners:v:12:y:2019:i:15:p:2857-:d:251464
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    References listed on IDEAS

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    1. Muhammad Omair & Biswajit Sarkar & Leopoldo Eduardo Cárdenas-Barrón, 2017. "Minimum Quantity Lubrication and Carbon Footprint: A Step towards Sustainability," Sustainability, MDPI, vol. 9(5), pages 1-18, April.
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    11. Kannan Govindan & Vernika Agarwal & Jyoti Dhingra Darbari & P. C. Jha, 2019. "An integrated decision making model for the selection of sustainable forward and reverse logistic providers," Annals of Operations Research, Springer, vol. 273(1), pages 607-650, February.
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    Cited by:

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    2. T. V. S. R. K. Prasad & Kolla Srinivas & C. Srinivas, 2020. "Investigations into control strategies of supply chain planning models: a case study," OPSEARCH, Springer;Operational Research Society of India, vol. 57(3), pages 874-907, September.
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    6. Jeuland, Marc & Fetter, T. Robert & Li, Yating & Pattanayak, Subhrendu K. & Usmani, Faraz & Bluffstone, Randall A. & Chávez, Carlos & Girardeau, Hannah & Hassen, Sied & Jagger, Pamela & Jaime, Mónica , 2021. "Is energy the golden thread? A systematic review of the impacts of modern and traditional energy use in low- and middle-income countries," Renewable and Sustainable Energy Reviews, Elsevier, vol. 135(C).

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