Fuzzy Eoq Model for Deteriorating Items with Exponential Membership Function

H.P. UMAP^1,

¹Department of Statistics, Yashavantrao Chavan Institute of Science, Satara (M.S.)

Cite this paper:
H.P. UMAP. Fuzzy Eoq Model for Deteriorating Items with Exponential Membership Function. American Journal of Applied Mathematics and Statistics. 2014; 2(4):203-206. doi: 10.12691/ajams-2-4-4

Abstract

In this Paper a multi item EOQ model with stock dependent demand for deteriorating items is considered in fuzzy environment. Inventory costs such as holding cost and setup cost have been represented by exponential membership function and profit, deteriorating rate and total investment constraint are represented by linear membership functions. The model has been solved by fuzzy non-linear programming (FNLP) method. Results have been presented along with those of corresponding crisp model and a sensitivity analysis.

Keywords:
fuzzy inventory crisp model non-linear membership function

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References:

[1]	Bellman R. E., and Zadeh, L. A., (1970), Decision-making in a fuzzy environment, Management science, 17, 141-164.
[2]	Carlsson, C. and Korhnen, (1986), A parametric approach to fuzzy linear programming, Fuzzy sets and systems, 20, 17-20.
[3]	Giri B.C., Pal S., Goswami A. and Chudhuri K.S., (1996), An inventory model for deteriorating items with stock-dependent demand rate, European journal of Operational Research, 95, 604-610.
[4]	Mandal, M, T. K, Roy and Maiti, M., (1998), A Fuzzy inventory model of deteriorating items with stock dependent demand under limited storage space, Operations Research 35 [4], 323-337.
[5]	Mandal, S. and Maiti, M., (2002), Multi-item fuzzy EOQ models, using genetic algorithm, Computers and Industrial Engineering, 44, 105-117.
[6]	Tanaka, H., Okuda, T. and Asai, K. (1974), On fuzzy mathematical programming, Journal of Cybernetics, 3 (4), 37-46.
[7]	Zimmermann, H.J., (1978), Fuzzy programming and linear programming with several objective function, Fuzzy Set and Systems 1, 45-55.
[8]	Pattnaik, Monalisha, (2012), An EOQ model for perishable items with constant demand and instant deterioration, Decision, 39 [1].
[9]	Pattnaik, Monalisha, (2013), Optimal decision in fuzzy NLP EOQ model for a single item and dynamic setup cost with space constraint, World Journal of Modelling and Simulation, 9 [1],74-80.