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A Sustainable Economic Recycle Quantity Model for Imperfect Production System with Shortages

Author

Listed:
  • Ali AlArjani

    (Department of Mechanical and Industrial Engineering, Prince Sattam Bin Abdulaziz University, Al-Kharj 16278, Saudi Arabia)

  • Md. Maniruzzaman Miah

    (Department of Mathematics, Jahangirnagar University, Saver, Dhaka 1342, Bangladesh)

  • Md. Sharif Uddin

    (Department of Mechanical and Industrial Engineering, Prince Sattam Bin Abdulaziz University, Al-Kharj 16278, Saudi Arabia)

  • Abu Hashan Md. Mashud

    (Department of Mathematics, Hajee Mohammad Danesh Science and Technology University, Dinajpur 5200, Bangladesh)

  • Hui-Ming Wee

    (Industrial and Systems Engineering Department, Chung Yuan Christian University, No. 200, Chung Pei Road, Chungli, Taoyuan City 32023, Taiwan)

  • Shib Sankar Sana

    (Kishore Bharati Bhagini Nivedita College, Ramkrishna Sarani, Behala, Kolkata 700060, India)

  • Hari Mohan Srivastava

    (Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada
    Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
    Department of Mathematics and Informatics, Azerbaijan University, 71 Jeyhun Hajibeyli Street, AZ1007 Baku, Azerbaijan
    Section of Mathematics, International Telematic University Uninettuno, I-00186 Rome, Italy)

Abstract

Recycling of products has a great impact on contemporary sustainable business strategies. In this study, a sustainable recycling process in a production-inventory model for an imperfect production system with a fixed ratio of recyclable defective products is introduced. The piecewise constant demand rates of the non-defective items are considered under production run-time, production off-time with positive stock, and production off-time with shortages under varying conditions. Based on the production process, two cases are studied using this model. The first case does not consider recycling processes, while the second case picks up all defective items before sending these items to recycling during the production off-time; the recycled items are added to the main inventory. The aim of this study is to minimize the total cost and identify the optimal order quantity. The manufacturing process with the recycling process provides a better result compared to without recycling in the first case. Some theoretical derivations are developed to enunciate the objective function using the classical optimization technique. To validate the proposed study, sensitivity analysis is performed, and numerical examples are given. Finally, some managerial insights and the scope of future research are provided.

Suggested Citation

  • Ali AlArjani & Md. Maniruzzaman Miah & Md. Sharif Uddin & Abu Hashan Md. Mashud & Hui-Ming Wee & Shib Sankar Sana & Hari Mohan Srivastava, 2021. "A Sustainable Economic Recycle Quantity Model for Imperfect Production System with Shortages," JRFM, MDPI, vol. 14(4), pages 1-21, April.
    • Handle: RePEc:gam:jjrfmx:v:14:y:2021:i:4:p:173-:d:533520
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    References listed on IDEAS

    as
    1. Al-Salamah, Muhammad, 2019. "Economic production quantity in an imperfect manufacturing process with synchronous and asynchronous flexible rework rates," Operations Research Perspectives, Elsevier, vol. 6(C).
    2. Cristina Raluca Gh. Popescu & Gheorghe N. Popescu, 2019. "An Exploratory Study Based on a Questionnaire Concerning Green and Sustainable Finance, Corporate Social Responsibility, and Performance: Evidence from the Romanian Business Environment," JRFM, MDPI, vol. 12(4), pages 1-79, October.
    3. Salameh, M. K. & Jaber, M. Y., 2000. "Economic production quantity model for items with imperfect quality," International Journal of Production Economics, Elsevier, vol. 64(1-3), pages 59-64, March.
    4. Lie-Fern Hsu & Jia-Tzer Hsu, 2016. "Economic production quantity (EPQ) models under an imperfect production process with shortages backordered," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(4), pages 852-867, March.
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    Cited by:

    1. Pradip Debnath & Hari Mohan Srivastava, 2021. "Optimizing Stock Market Returns during Global Pandemic Using Regression in the Context of Indian Stock Market," JRFM, MDPI, vol. 14(8), pages 1-10, August.
    2. Pradip Debnath & Hari Mohan Srivastava, 2021. "Optimal Returns in Indian Stock Market during Global Pandemic: A Comparative Study," JRFM, MDPI, vol. 14(12), pages 1-13, December.
    3. Rubayet Karim & Koichi Nakade, 2022. "A Literature Review on the Sustainable EPQ Model, Focusing on Carbon Emissions and Product Recycling," Logistics, MDPI, vol. 6(3), pages 1-16, August.

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