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An EPQ model for an imperfect production system with rework and shortages

Author

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  • C. Krishnamoorthi
  • S. Panayappan

Abstract

An Economic Production Quantity (EPQ) model is commonly used by practitioners in the fields of production and inventory management. The common assumptions in this model are that all units produced are perfect and shortages are not allowed. But, in a real situation the defective items will be produced in each cycle of production and shortages and scrap are possible. Hence, the defective items cannot be ignored in the production process. Rework process is necessary to convert those defective into finished goods. In this paper, inventory models for a single stage production process are developed where defective items produced are reworked. Two models of rework processes are considered, an EPQ model without shortages and with shortages. A suitable mathematical model is developed and the optimal production lot size, which minimises the total cost is derived. The relevant model is built, solved. An illustrative example is provided and numerically verified. The validation of the result in this model was coded in Microsoft Visual Basic 6.0.

Suggested Citation

  • C. Krishnamoorthi & S. Panayappan, 2013. "An EPQ model for an imperfect production system with rework and shortages," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 17(1), pages 104-124.
    • Handle: RePEc:ids:ijores:v:17:y:2013:i:1:p:104-124
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    Citations

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    Cited by:

    1. Amalendu Singha Mahapatra & Hardik N Soni & Maheswar Singha Mahapatra & Biswajit Sarkar & Sanat Majumder, 2021. "A Continuous Review Production-Inventory System with a Variable Preparation Time in a Fuzzy Random Environment," Mathematics, MDPI, vol. 9(7), pages 1-27, March.
    2. Chayanika Rout & Ravi Shankar Kumar & Debjani Chakraborty & Adrijit Goswami, 2019. "An EPQ model for deteriorating items with imperfect production, inspection errors, rework and shortages : a type-2 fuzzy approach," OPSEARCH, Springer;Operational Research Society of India, vol. 56(3), pages 657-688, September.
    3. C. K. Sivashankari & R. Valarmathi, 2023. "Optimal pricing and production lot-size policies in imperfect production system with price-sensitive demand, reworking, scrap, and sales return," Operational Research, Springer, vol. 23(3), pages 1-28, September.

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