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Fuzzy Mixture Inventory Model Involving Fuzzy Lead Time Demand and Fuzzy Total Demand


Affiliations
1 Department of Applied Mathematics, Indian School of Mines, Dhanbad-826004, India
     

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This paper is Fuzzy mixture inventory model involving fuzzy lead time demand and fuzzy total demand. The model is inventory model system, Expected annual total cost in crisp sense calculated but lead time crashing cost, holding cost, stock out cost, setup cost is assume as fuzzy random variable and total expected annual cost in fuzzy sense also calculated. Expected annual total cost is represented by Trapezoidal fuzzy number. We have used the Graded mean integration of defuzzification. Numerical example has been shown to compare the both result in crisp and fuzzy sense.


Keywords

Lead Time Crashing Cost, Demand, Trapezoidal Fuzzy Number, Expectated Annual Total Cost.
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  • Fuzzy Mixture Inventory Model Involving Fuzzy Lead Time Demand and Fuzzy Total Demand

Abstract Views: 257  |  PDF Views: 0

Authors

S. Kumar
Department of Applied Mathematics, Indian School of Mines, Dhanbad-826004, India
B. Mukherjee
Department of Applied Mathematics, Indian School of Mines, Dhanbad-826004, India

Abstract


This paper is Fuzzy mixture inventory model involving fuzzy lead time demand and fuzzy total demand. The model is inventory model system, Expected annual total cost in crisp sense calculated but lead time crashing cost, holding cost, stock out cost, setup cost is assume as fuzzy random variable and total expected annual cost in fuzzy sense also calculated. Expected annual total cost is represented by Trapezoidal fuzzy number. We have used the Graded mean integration of defuzzification. Numerical example has been shown to compare the both result in crisp and fuzzy sense.


Keywords


Lead Time Crashing Cost, Demand, Trapezoidal Fuzzy Number, Expectated Annual Total Cost.