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Fuzzy EOQ Models for Deteriorating Items with Stock Dependent Demand and Non-Linear Holding Costs

Authors: G. C. Mahata, A. Goswami


This paper deals with infinite time horizon fuzzy Economic Order Quantity (EOQ) models for deteriorating items with  stock dependent demand rate and nonlinear holding costs by taking deterioration rate θ0 as a triangular fuzzy number  (θ0 −δ 1, θ0, θ0 +δ 2), where 1 2 0 0 <δ ,δ <θ are fixed real numbers. The traditional parameters such as unit cost and ordering  cost have been kept constant but holding cost is considered to vary. Two possibilities of variations in the holding cost function namely, a non-linear function of the length of time for which the item is held in stock and a non-linear function of the amount of on-hand inventory have been used in the models. The approximate optimal solution for the fuzzy cost functions in both these cases have been obtained and the effect of non-linearity in holding costs is studied with the help of a numerical example.

Keywords: inventory model, deterioration, extension principle, Holding Cost, Fuzzy Total Cost

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[1] R. Gupta and P. Vrat, "Inventory models for stock dependent consumption rate", Opsearch, Vol. 23, 1986, pp. 19 - 24.
[2] B. N, .Mondal and S. Phaujdar, "An inventory model for deteriorating items and stock dependant consumption rate", Journal of Operations Research Society, Vol. 40, 1989, pp. 483 - 488.
[3] T. K. Datta and A. K. Pal, "Effects of inflation and time value of money on an inventory model with linear time dependent demand rate and shortages", European Journal of Operation Research, Vol. 52, 1991, pp. 326 - 333.
[4] M. Goh, "EOQ models with general demand and holding cost functions", European Journal of Operation Research, Vol. 73, 1994, pp. 50 - 54.
[5] B. C. Giri and K. S. Chaudhry, "Deterministic models of perishable inventory with stock dependent demand rate and nonlinear holding cost", European Journal of Operation Research, Vol. 105, 1998, pp. 467 - 474.
[6] H. J. Zimmerman, "Fuzzy set theory and its applications", 2nd Edition, Kluwer Academic Press, 1991.
[7] A. Kaufmann and M. M. Gupta, "Introduction to fuzzy arithmetic theory and applications", Von Nostrand Reinhold, Newyork, 1992.
[8] A. W. Donaldson, "Inventory replenishment policy for a linear trend in demand: an analytic solution", Operational Research Quarterly, Vol. 28, 1977, pp. 663 - 670.