An Analysis of Modeling and Optimization Production Cost Through Fuzzy Linear Programming Problem with Symmetric and Right Angle Triangular Fuzzy Number

The main objective of this paper is to do the modeling and optimization of production cost of RCF kapurthala using TFLPP-(s, l, r) and triangular (Right angle) fuzzy linear programming problem. The total costs of the different constrains are vacillating or uncertain, so to minimize the production cost, fuzzy LPP (right angle triangular) and TFPP-(s, l, r) model are used. Owing to probabilistic increments in the availability of different constrains, the actual cost of production is to leading the destruction. Here the situational based Fuzzy model is being expressed to mitigate the destruction in the cost optimization and examining the credibility of optimized value. The data of RCF Kapurthala constitutes the production cost of different coaches from the year 2009-10. The total cost has been targeted to optimize with respect to the constraints of Labor cost, Material cost, Administrative overhead charges, Factory overhead charges, Township overhead charges, Shop overhead charges and Performa charges. The lower and upper bound have been calculated using TFLPP-(s, l, r), TFLPP-(s, l), TFLPP-(s, r) and TFLPP-(s) for the objective function of the optimized fuzzy LPP. This optimized fuzzy LPP will provide the membership grade for the optimized production cost.