Fuzzy EOQ models with ramp type demand rate, partial backlogging and time dependent deterioration rate. (1st January 2012)

• Record Type: Journal Article
• Authors: Kumar, Ravi Shankar; De, S.K.; Goswami, A.
• Is Part Of: International journal of mathematics in operational research. Volume 4:Number 5(2012)
• Page Start: 473
• Page End: 502
• Publication Date: 2012-01-01
• Subjects: inventory -- ramp type demand -- partial backlogging -- trapezoidal fuzzy number -- function principle -- optimisation; Operations research -- Mathematical models -- Periodicals; Operations research -- Mathematics -- Periodicals; Decision making -- Mathematical models -- Periodicals; 658.4033
• Languages: English
• ISSNs: 1757-5850

Abstract

In this study, a fuzzy inventory model has been discussed for two cases model start with no shortages model start with shortages. Demand rate is of three folded ramp-type time dependent, deterioration rate of the item is time dependent(Weibull) and shortages are partially backlogged. For real situation, we have assumed the backlogging rate and all the cost coefficients as trapezoidal fuzzy number and defuzzification is made with the help of Function Principle and Graded Mean Integration Representation (GMIR) method. Finally using calculus, we have optimised the total cost function. The solution procedure is illustrated with the help of numerical examples.