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Inventory models with a mixture of backorders and lost sales under fuzzy cost


  • Vijayan, T.
  • Kumaran, M.


Continuous review and periodic review inventory models in which a fraction of demand is backordered and the remaining fraction is lost during the stockout period are considered under fuzzy environment. Fuzziness is introduced by allowing the cost components imprecise and vague to certain extent. Trapezoidal fuzzy numbers are used to represent these characteristics. The optimum policies of these models under fuzzy costs are derived. Numerical results highlighting the sensitivity in the decision variables are also described.

Suggested Citation

  • Vijayan, T. & Kumaran, M., 2008. "Inventory models with a mixture of backorders and lost sales under fuzzy cost," European Journal of Operational Research, Elsevier, vol. 189(1), pages 105-119, August.
  • Handle: RePEc:eee:ejores:v:189:y:2008:i:1:p:105-119

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    References listed on IDEAS

    1. Yao, Jing-Shing & Su, Jin-Shieh, 2000. "Fuzzy inventory with backorder for fuzzy total demand based on interval-valued fuzzy set," European Journal of Operational Research, Elsevier, vol. 124(2), pages 390-408, July.
    2. Ishii, Hiroaki & Konno, Tutomu, 1998. "A stochastic inventory problem with fuzzy shortage cost," European Journal of Operational Research, Elsevier, vol. 106(1), pages 90-94, April.
    3. Hariga, Moncer & Ben-Daya, Mohamed, 1999. "Some stochastic inventory models with deterministic variable lead time," European Journal of Operational Research, Elsevier, vol. 113(1), pages 42-51, February.
    4. Roy, T.K. & Maiti, M., 1997. "A fuzzy EOQ model with demand-dependent unit cost under limited storage capacity," European Journal of Operational Research, Elsevier, vol. 99(2), pages 425-432, June.
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    Cited by:

    1. Brito, Anderson J. & de Almeida, Adiel T., 2012. "Modeling a multi-attribute utility newsvendor with partial backlogging," European Journal of Operational Research, Elsevier, vol. 220(3), pages 820-830.
    2. 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.
    3. repec:spr:ijsaem:v:8:y:2017:i:2:d:10.1007_s13198-017-0587-7 is not listed on IDEAS

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