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International Journal of Applied Nonlinear Science

International Journal of Applied Nonlinear Science (IJANS)

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International Journal of Applied Nonlinear Science (One paper in press)

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  • Fuzzy inventory modelling: addressing uncertainty in economic order quantity analysis within nonlinear science   Order a copy of this article
    by Soumendra Kumar Patra, Pragyan Parimita Sarangi, Nirmal Kumar Routra, Alok Kumar Jagadev, Bijay Kumar Paikaray 
    Abstract: Generally, in deriving the solution of economic order quantity (EOQ) inventory model, we consider deterioration rate, holding cost and ordering cost as constant. But in the case of real life problems, the above case is not actually constant but slightly disturbed from their original crisp value. In this paper, fuzzy inventory model is developed considering deterioration rate, holding cost and ordering cost as fuzzy variables. Because in practice, it is not always easy to determine the rate of deterioration precisely. In most of the cases it is uncertain in nature; therefore, it becomes reasonable to consider the vagueness and uncertainty of deterioration rate in fuzzy environment. These variables are represented by trapezoidal membership function. The function principle is applied to obtain an optimum total fuzzy cost along with optimum order quantity and optimum shortage quantity.
    Keywords: fuzzy membership function; fuzzy deterioration rate; trapezoidal numbers; function principle; defuzzification.
    DOI: 10.1504/IJANS.2024.10066705