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Effect of Energy and Failure Rate in a Multi-Item Smart Production System

Author

Listed:
  • Mitali Sarkar

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

  • Biswajit Sarkar

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

  • Muhammad Waqas Iqbal

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

Abstract

To form a smart production system, the effect of energy and machines’ failure rate plays an important role. The main issue is to make a smart production system for complex products that the system may produce several defective items during a long-run production process with an unusual amount of energy consumption. The aim of the model is to obtain the optimum amount of smart lot, the production rate, and the failure rate under the effect of energy. This study contains a multi-item economic imperfect production lot size energy model considering a failure rate as a system design variable under a budget and a space constraint. The model assumes an inspection cost to ensure product’s quality under perfect energy consumption. Failure rate and smart production rate dependent development cost under energy consumption are considered, i.e., lower values of failure rate give higher values of development cost and vice versa under the effect of proper utilization of energy. The manufacturing system moves from in-control state to out-of-control state at a random time. The theory of nonlinear optimization (Kuhn–Tucker method) is employed to solve the model. There is a lemma to obtain the global optimal solution for the model. Two numerical examples, graphical representations, and sensitivity analysis of key parameters are given to illustrate the model.

Suggested Citation

  • Mitali Sarkar & Biswajit Sarkar & Muhammad Waqas Iqbal, 2018. "Effect of Energy and Failure Rate in a Multi-Item Smart Production System," Energies, MDPI, vol. 11(11), pages 1-21, October.
    • Handle: RePEc:gam:jeners:v:11:y:2018:i:11:p:2958-:d:179175
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    Cited by:

    1. Jihed Jemai & Biswajit Sarkar, 2019. "Optimum Design of a Transportation Scheme for Healthcare Supply Chain Management: The Effect of Energy Consumption," Energies, MDPI, vol. 12(14), pages 1-27, July.
    2. Mitali Sarkar & Byung Do Chung, 2021. "Effect of Renewable Energy to Reduce Carbon Emissions under a Flexible Production System: A Step Toward Sustainability," Energies, MDPI, vol. 14(1), pages 1-14, January.
    3. Shaktipada Bhuniya & Biswajit Sarkar & Sarla Pareek, 2019. "Multi-Product Production System with the Reduced Failure Rate and the Optimum Energy Consumption under Variable Demand," Mathematics, MDPI, vol. 7(5), pages 1-20, May.
    4. Muhammad Tayyab & Biswajit Sarkar & Misbah Ullah, 2018. "Sustainable Lot Size in a Multistage Lean-Green Manufacturing Process under Uncertainty," Mathematics, MDPI, vol. 7(1), pages 1-18, December.
    5. Mitali Sarkar & Biswajit Sarkar, 2019. "Optimization of Safety Stock under Controllable Production Rate and Energy Consumption in an Automated Smart Production Management," Energies, MDPI, vol. 12(11), pages 1-16, May.
    6. Iqra Asghar & Biswajit Sarkar & Sung-jun Kim, 2019. "Economic Analysis of an Integrated Production–Inventory System under Stochastic Production Capacity and Energy Consumption," Energies, MDPI, vol. 12(16), pages 1-27, August.
    7. Grzegorz Budzik & Krzysztof Tomaszewski & Andrzej Soboń, 2022. "Opportunities for the Application of 3D Printing in the Critical Infrastructure System," Energies, MDPI, vol. 15(5), pages 1-15, February.
    8. Nunes, L.J.R. & Causer, T.P. & Ciolkosz, D., 2020. "Biomass for energy: A review on supply chain management models," Renewable and Sustainable Energy Reviews, Elsevier, vol. 120(C).
    9. Jun Dong & Peiwen Yang & Shilin Nie, 2019. "Day-Ahead Scheduling Model of the Distributed Small Hydro-Wind-Energy Storage Power System Based on Two-Stage Stochastic Robust Optimization," Sustainability, MDPI, vol. 11(10), pages 1-27, May.
    10. Sarkar, Biswajit & Guchhait, Rekha & Sarkar, Mitali & Cárdenas-Barrón, Leopoldo Eduardo, 2019. "How does an industry manage the optimum cash flow within a smart production system with the carbon footprint and carbon emission under logistics framework?," International Journal of Production Economics, Elsevier, vol. 213(C), pages 243-257.

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