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A fuzzified version of the economic production quantity (EPQ) model with backorders and rework for a single-stage system

Author

Listed:
  • Ehsan Shekarian
  • Mohamad Y. Jaber
  • Nima Kazemi
  • Ehsan Ehsani

Abstract

This paper extends a recent work that investigated a single-stage production-inventory model with reworks and planned backorders by fuzzifying its input parameters. The graded mean integration representation (GMIR) method, a useful and effective defuzzification method, is employed to develop a fuzzified total inventory cost function of model of interest. Triangular and trapezoidal fuzzy numbers are used to examine the developed fuzzy model. Later, the optimal policy, including the batch size, the backordering level and total cost, is determined using the classical approach. Furthermore, the derived optimal policies are tested using arbitrary fuzzy numbers. [Received 4 July 2011; Revised 4 November 2011; Revised 3 February 2012; Revised 16 July 2012; Accepted 27 October 2012]

Suggested Citation

  • Ehsan Shekarian & Mohamad Y. Jaber & Nima Kazemi & Ehsan Ehsani, 2014. "A fuzzified version of the economic production quantity (EPQ) model with backorders and rework for a single-stage system," European Journal of Industrial Engineering, Inderscience Enterprises Ltd, vol. 8(3), pages 291-324.
    • Handle: RePEc:ids:eujine:v:8:y:2014:i:3:p:291-324
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    Citations

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    Cited by:

    1. Tyrone T. Lin & Shu-Yen Hsu, 2018. "Risk Management for the Optimal Order Quantity by Risk-Averse Suppliers of Food Raw Materials," IJFS, MDPI, vol. 6(4), pages 1-17, December.
    2. Ateka Banu & Shyamal Kumar Mondal, 2020. "Analyzing an inventory model with two-level trade credit period including the effect of customers’ credit on the demand function using q-fuzzy number," Operational Research, Springer, vol. 20(3), pages 1559-1587, September.
    3. Nima Kazemi & Salwa Hanim Abdul-Rashid & Ehsan Shekarian & Eleonora Bottani & Roberto Montanari, 2016. "A fuzzy lot-sizing problem with two-stage composite human learning," International Journal of Production Research, Taylor & Francis Journals, vol. 54(16), pages 5010-5025, August.

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