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

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  • Vijayan, T.
  • Kumaran, M.

Abstract

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

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    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. 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.
    3. 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.
    4. 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.
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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. Mohammad Alaghebandha & Vahid Hajipour, 2015. "A soft computing-based approach to optimise queuing-inventory control problem," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(6), pages 1113-1130, April.
    3. 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.
    4. Feng, Pingping & Wu, Feng & Fung, Richard Y.K. & Jia, Tao, 2018. "Evaluation of two transshipment policies in a two-location decentralized inventory system under partial backordering," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 118(C), pages 207-224.
    5. K. F. Mary Latha & R. Uthayakumar, 2017. "A two-echelon supply chain coordination with quantity discount incentive for fixed lifetime product in a fuzzy environment," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 8(2), pages 1194-1208, November.
    6. Nughthoh Arfawi Kurdhi & Joko Prasetyo & Sri Sulistijowati Handajani, 2016. "An inventory model involving back-order price discount when the amount received is uncertain," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(3), pages 662-671, February.
    7. Mina Nouri & Seyyed-Mahdi Hosseini-Motlagh & Mohammadreza Nematollahi, 2021. "Proposing a discount policy for two-level supply chain coordination with periodic review replenishment and promotional efforts decisions," Operational Research, Springer, vol. 21(1), pages 365-398, March.
    8. Acar, Müge & Kaya, Onur, 2023. "Dynamic inventory decisions for humanitarian aid materials considering budget limitations," Socio-Economic Planning Sciences, Elsevier, vol. 86(C).

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