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Multiproduct EPQ model with single machine, backordering and immediate rework process

Author

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  • Ata Allah Taleizadeh
  • Seyed Jafar Sadjadi
  • Seyed Taghi Akhavan Niaki

Abstract

Production systems with scrapped and rework items have recently become an interesting subject of research. While most attempts have been focused on finding the optimal production quantity in a simple production system, little work appears on a joint production environment. In this research, two joint production systems in a form of multiproduct single machine with and without rework are studied where shortage is allowed and backordered. For each system, the optimal cycle length, the backordered and production quantities of each product are determined such that the cost function is minimised. Proof of the convexity of the involved objective functions of each model is provided and numerical illustrations are given to demonstrate the applicability of the proposed models. Furthermore, the results obtained by solving the models with and without rework of defective items are compared. Sensitivity analysis and some managerial insights based on the numerical illustration are provided at the end. [Received 27 January 2010; Revised 22 May 2010; Accepted 31 May 2010]

Suggested Citation

  • Ata Allah Taleizadeh & Seyed Jafar Sadjadi & Seyed Taghi Akhavan Niaki, 2011. "Multiproduct EPQ model with single machine, backordering and immediate rework process," European Journal of Industrial Engineering, Inderscience Enterprises Ltd, vol. 5(4), pages 388-411.
    • Handle: RePEc:ids:eujine:v:5:y:2011:i:4:p:388-411
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    Citations

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    Cited by:

    1. Ata Allah Taleizadeh & Hadi Samimi & Babak Mohammadi, 2015. "Joint replenishment policy with backordering and special sale," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(7), pages 1172-1198, May.
    2. Widyadana, Gede Agus & Wee, Hui Ming, 2012. "An economic production quantity model for deteriorating items with multiple production setups and rework," International Journal of Production Economics, Elsevier, vol. 138(1), pages 62-67.
    3. 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.
    4. Totan Garai & Dipankar Chakraborty & Tapan Kumar Roy, 2019. "Multi-objective Inventory Model with Both Stock-Dependent Demand Rate and Holding Cost Rate Under Fuzzy Random Environment," Annals of Data Science, Springer, vol. 6(1), pages 61-81, March.

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