Transportation Problem of LPP Involving Probability Density Function

In Linear Programming Problem (LPP), Transportation Problem (TP) is an application which is used to optimize through the probability density function of statistical approach. The main objective of this paper is to reduce complexity in Maximization problem of LPP, by fulfilling the relation between the objective function and constraints with the largest value.  Here, we used non-negative integer and complex number of linear combination of form xmeλx. It has been decided with reasonably great probability, decision region, fundamental probabilities and Laplace Transform (LT).  To obtain proposed results we applied probability density function over transportation problem. According to our proposed method we implemented mathematical model through the probability density function of statistical tools. Categorically, probability density function is an approach in our proposed method to obtain the feasible solution of transportation problem, which perform better than the existing methods.