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Optimization of fuzzy production inventory model with unrepairable defective products

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  • Chen, Shan Huo
  • Chang, Shu Man

Abstract

In this paper, we introduce a Fuzzy Economic Production Quantity (FEPQ) model with defective productions that cannot be repaired. In this model, we consider a fuzzy opportunity cost and trapezoidal fuzzy costs under crisp production quantity or fuzzy production quantity in order to extend the traditional production inventory model to the fuzzy environment. We use Function Principle as arithmetical operations of fuzzy total production inventory cost (FTPIC), and use the Graded Mean Integration Representation method to defuzzify the fuzzy total production and inventory cost. Then we use the Kuhn-Tucker method to find the optimal economic production quantity of the fuzzy production inventory model.

Suggested Citation

  • Chen, Shan Huo & Chang, Shu Man, 2008. "Optimization of fuzzy production inventory model with unrepairable defective products," International Journal of Production Economics, Elsevier, vol. 113(2), pages 887-894, June.
    • Handle: RePEc:eee:proeco:v:113:y:2008:i:2:p:887-894
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    References listed on IDEAS

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    1. 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.
    2. Lo, Sh-Tyan & Wee, Hui-Ming & Huang, Wen-Chang, 2007. "An integrated production-inventory model with imperfect production processes and Weibull distribution deterioration under inflation," International Journal of Production Economics, Elsevier, vol. 106(2), pages 493-505, April.
    3. Lee, Huey-Ming & Yao, Jing-Shing, 1998. "Economic production quantity for fuzzy demand quantity, and fuzzy production quantity," European Journal of Operational Research, Elsevier, vol. 109(1), pages 203-211, August.
    4. Lo, Sh-Tyan & Wee, Hui-Ming & Huang, Wen-Chang, 2007. "An integrated production-inventory model with imperfect production processes and Weibull distribution deterioration under inflation," International Journal of Production Economics, Elsevier, vol. 106(1), pages 248-260, March.
    5. Sana, Shib Sankar & Goyal, Suresh Kumar & Chaudhuri, Kripasindhu, 2007. "An imperfect production process in a volume flexible inventory model," International Journal of Production Economics, Elsevier, vol. 105(2), pages 548-559, February.
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    Cited by:

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    2. Lau, H.C.W. & Ho, G.T.S. & Zhao, Y. & Chung, N.S.H., 2009. "Development of a process mining system for supporting knowledge discovery in a supply chain network," International Journal of Production Economics, Elsevier, vol. 122(1), pages 176-187, November.
    3. Roy, Arindam & kar, Samarjit & Maiti, Manoranjan, 2010. "A volume flexible production-policy for randomly deteriorating item with trended demand and shortages," International Journal of Production Economics, Elsevier, vol. 128(1), pages 188-199, November.
    4. Shih-Pin Chen & Wen-Lung Huang, 2014. "Solving Fuzzy Multiproduct Aggregate Production Planning Problems Based on Extension Principle," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2014, pages 1-18, August.
    5. Lidia Vesa & Marcel Ioan Boloş & Claudia Diana Sabău-Popa, 2021. "Inventory Decision In Vuca World Using Economic Logic Quantity," Annals of Faculty of Economics, University of Oradea, Faculty of Economics, vol. 1(1), pages 251-267, July.
    6. R. Patro & Mitali M. Nayak & M. Acharya, 2019. "An EOQ model for fuzzy defective rate with allowable proportionate discount," OPSEARCH, Springer;Operational Research Society of India, vol. 56(1), pages 191-215, March.
    7. Wong, Bo K. & Lai, Vincent S., 2011. "A survey of the application of fuzzy set theory in production and operations management: 1998-2009," International Journal of Production Economics, Elsevier, vol. 129(1), pages 157-168, January.

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