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Maximising profits for an EPQ model with unreliable machine and rework of random defective items

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  • Brojeswar Pal
  • Shib Sana
  • Kripasindhu Chaudhuri

Abstract

This article deals with an economic production quantity (EPQ) model in an imperfect production system. The production system may undergo in ‘out-of-control’ state from ‘in-control’ state, after a certain time that follows a probability density function. The density function varies with reliability of the machinery system that may be controlled by new technologies, investing more costs. The defective items produced in ‘out-of-control’ state are reworked at a cost just after the regular production time. Occurrence of the ‘out-of-control’ state during or after regular production-run time is analysed and also graphically illustrated separately. Finally, an expected profit function regarding the inventory cost, unit production cost and selling price is maximised analytically. Sensitivity analysis of the model with respect to key parameters of the system is carried out. Two numerical examples are considered to test the model and one of them is illustrated graphically.

Suggested Citation

  • Brojeswar Pal & Shib Sana & Kripasindhu Chaudhuri, 2013. "Maximising profits for an EPQ model with unreliable machine and rework of random defective items," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(3), pages 582-594.
    • Handle: RePEc:taf:tsysxx:v:44:y:2013:i:3:p:582-594
    DOI: 10.1080/00207721.2011.617896
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    Citations

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    Cited by:

    1. Yi-Kuei Lin & Ping-Chen Chang, 2015. "A novel model for a manufacturing system with joint production lines in terms of prior-set," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(2), pages 340-354, January.
    2. Amir Hossein Nobil & Amir Hosein Afshar Sedigh & Leopoldo Eduardo Cárdenas-Barrón, 2020. "A multiproduct single machine economic production quantity (EPQ) inventory model with discrete delivery order, joint production policy and budget constraints," Annals of Operations Research, Springer, vol. 286(1), pages 265-301, March.
    3. Chiu, Singa Wang & Chen, Hui-Cun & Wu, Hua-Yao & Chiu, Yuan-Shyi Peter, 2020. "A hybrid finite production rate system featuring random breakdown and rework," Operations Research Perspectives, Elsevier, vol. 7(C).
    4. M. Jaber & Z. Givi, 2015. "Imperfect production process with learning and forgetting effects," Computational Management Science, Springer, vol. 12(1), pages 129-152, January.
    5. Gerardo Treviño-Garza & Krystel K. Castillo-Villar & Leopoldo Eduardo Cárdenas-Barrón, 2015. "Joint determination of the lot size and number of shipments for a family of integrated vendor–buyer systems considering defective products," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(9), pages 1705-1716, July.
    6. Song, Dong-Ping & Dong, Jing-Xin & Xu, Jingjing, 2014. "Integrated inventory management and supplier base reduction in a supply chain with multiple uncertainties," European Journal of Operational Research, Elsevier, vol. 232(3), pages 522-536.
    7. Amir Hossein Nobil & Amir Hosein Afshar Sedigh & Behrouz Afshar-Nadjafi, 2020. "Lot-sizing problem for a defective processing system with categorized items, backordering and pricing policy," Journal of Revenue and Pricing Management, Palgrave Macmillan, vol. 19(4), pages 255-265, August.
    8. 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).
    9. Shaofu Du & Yujiao Zhu & Tengfei Nie & Haisuo Yu, 2018. "Loss-averse preferences in a two-echelon supply chain with yield risk and demand uncertainty," Operational Research, Springer, vol. 18(2), pages 361-388, July.
    10. Pal, Brojeswar & Sana, Shib Sankar & Chaudhuri, Kripasindhu, 2014. "Joint pricing and ordering policy for two echelon imperfect production inventory model with two cycles," International Journal of Production Economics, Elsevier, vol. 155(C), pages 229-238.
    11. Ata Allah Taleizadeh & Mahsa Noori-daryan, 2016. "Pricing, inventory and production policies in a supply chain of pharmacological products with rework process: a game theoretic approach," Operational Research, Springer, vol. 16(1), pages 89-115, April.

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