Journals / An International Journal of Optimization and Control: Theories & Applications (IJOCTA) / 2015 / Cilt: 5 - Sayı: 1

An EPQ model with imperfect items using interval grey numbers

Pages
1079–1342
Publication Date
2022-10-11
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

A mathematical model is developed and then an industrial example is presented on the wooden chipboard production process for illustration of the proposed model.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The classic economic production quantity (EPQ) model has been widely used to determine the optimal production quantity.
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Key Findings & Data:The basic assumption of EPQ model is that 100% of manufactured products are non-defective that is not valid for many production processes generally.
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Conclusion & Impact:A mathematical model is developed and then an industrial example is presented on the wooden chipboard production process for illustration of the proposed model.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

The classic economic production quantity (EPQ) model has been widely used to determine the optimal production quantity. However, the analysis for finding an EPQ model has many weaknesses which lead many researchers and practitioners to make extensions in several aspects on the original EPQ model. The basic assumption of EPQ model is that 100% of manufactured products are non-defective that is not valid for many production processes generally. The purpose of this paper is to develop an EPQ model with grey demand rate and cost values with maximum backorder level allowed with the good quality items in units under an imperfect production process. The imperfect items are considered to be low quality items which are sold to a particular purchaser at a lower price and, the others are reworked and scrapped. A mathematical model is developed and then an industrial example is presented on the wooden chipboard production process for illustration of the proposed model.

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Cite This Article

BEDİR, F., AYDEMİR, E., OZDEMİR, G., EROGLU, A. (2022). An EPQ model with imperfect items using interval grey numbers. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), Cilt: 5 - Sayı: 1, 1079–1342. https://ajindex.com/articles/440707

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References (14)

  1. Taft, E. W., The most economical production lot. Iron Age, 101, 1410-1412 (1918)
  2. Salameh, M. K., Jaber, M. Y., Economic production quantity model for items with imperfect quality. International Journal of Production Economics, 64, 59-64 (2000)
  3. Liao, J. J., On an EPQ model for deteriorating items under permissible delay in payments. Applied Mathematical Modelling, 31, 393-403 (2007)
  4. Darwish, M., EPQ model with varying setup cost. International Journal of Production Economics, 113, 297-306 (2008)
  5. Jaber, M. Y., Goyal, S. K., Imran, M., Economic production quantity model for items with imperfect quality subject to learning effects. International Journal of Production Economics, 115, 143-150 (2008)
  6. Pentico, D. W., Matthew, J. D., Toews, C., The deterministic EPQ with partial backordering: a new approach. Omega, 37, 624-636 (2009)
  7. Teng, J. T., Chang, C. T., Optimal manufacturer's replenishment policies in the EPQ model under two levels of trade credit policy. European Journal of Operational Research, 195, 358-363 (2009)
  8. Mahata, G. C., An EPQ-based inventory model for exponentially deteriorating items under retailer partial trade credit policy in supply chain. Expert Systems with Applications, 39, 3537-3550 (2012)
  9. Rosenblatt, M. J., Lee, H. L., Economic production cycles with imperfect production processes. IEE Transactions, 18, 48-55 (1986)
  10. Kim, C. H., Hong, Y., An optimal production run length in deteriorating production processes. International Journal of Production Economics, 58, 183-189 (1999)
  11. Hayek, P. A., Salameh, M. K., Production lot sizing with the reworking of imperfect quality items produced. Production Planning and Control, 12(6), 584-590 (2001)
  12. Chiu, Y. P., Determining the optimal lot size for the finite production model with random defective rate, the rework process, and backlogging. Engineering Optimization, 35(4), [13] Papachristos, S., Konstantaras, I., Economic ordering quantity models for items with imperfect quality. International Journal of Production Economics, 100, 148-154 (2006)
  13. Pan, J. C. H., Yang, M. F., Integrated inventory models with fuzzy annual demand and fuzzy production rate in a supply chain. International Journal of Production Research, 46(3), 753-770 (2008)
  14. Chiu, S. W., Wang, S. L., Chiu, Y. S. P., Determining the optimal run time for EPQ model with scrap, rework, and stochastic breakdowns. European Journal of Operational Research, 180(2), 664-676 (2007)