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Fuzzy periodic review system with fuzzy random variable demand

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  • Dey, Oshmita
  • Chakraborty, Debjani

Abstract

In this paper, a periodic review inventory system has been analyzed in a mixed imprecise and uncertain environment where fuzziness and randomness appear simultaneously. A model has been developed with customer demand assumed to be a fuzzy random variable. The lead-time has been assumed to be a constant. The lead-time demand and the lead-time plus one period's demand have also been assumed to be fuzzy random variables. A methodology has been developed to determine the optimal inventory level and the optimal period of review such that the total expected annual cost in the fuzzy sense is minimized. A numerical example has been presented to illustrate the model.

Suggested Citation

  • Dey, Oshmita & Chakraborty, Debjani, 2009. "Fuzzy periodic review system with fuzzy random variable demand," European Journal of Operational Research, Elsevier, vol. 198(1), pages 113-120, October.
    • Handle: RePEc:eee:ejores:v:198:y:2009:i:1:p:113-120
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    References listed on IDEAS

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    7. Eynan, Amit & Kropp, Dean H., 2007. "Effective and simple EOQ-like solutions for stochastic demand periodic review systems," European Journal of Operational Research, Elsevier, vol. 180(3), pages 1135-1143, August.
    8. Petrovic, Dobrila & Xie, Ying & Burnham, Keith & Petrovic, Radivoj, 2008. "Coordinated control of distribution supply chains in the presence of fuzzy customer demand," European Journal of Operational Research, Elsevier, vol. 185(1), pages 146-158, February.
    9. Chang, Hung-Chi & Yao, Jing-Shing & Ouyang, Liang-Yuh, 2006. "Fuzzy mixture inventory model involving fuzzy random variable lead time demand and fuzzy total demand," European Journal of Operational Research, Elsevier, vol. 169(1), pages 65-80, February.
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    Cited by:

    1. Oshmita Dey, 2019. "A fuzzy random integrated inventory model with imperfect production under optimal vendor investment," Operational Research, Springer, vol. 19(1), pages 101-115, March.
    2. Ravi Shankar Kumar & M. K. Tiwari & A. Goswami, 2016. "Two-echelon fuzzy stochastic supply chain for the manufacturer–buyer integrated production–inventory system," Journal of Intelligent Manufacturing, Springer, vol. 27(4), pages 875-888, August.
    3. J. A. O. Magbagbeola & O. M. Ayinde & E. A. Alo & A. I. Akosile & E. O. Magbagbeola, 2012. "Operations Research Approach to Enhancing Enterprise through Alliances: A case study of Mowe Town, Ogun State, Nigeria," International Journal of Business Administration, International Journal of Business Administration, Sciedu Press, vol. 3(3), pages 2-10, May.
    4. Dey, Oshmita & Chakraborty, Debjani, 2011. "A fuzzy random continuous review inventory system," International Journal of Production Economics, Elsevier, vol. 132(1), pages 101-106, July.

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