Transportation Problem of LPP Involving Probability Density Function

Authors

DOI:

https://doi.org/10.3991/ijes.v7i1.9909

Keywords:

Transportation Problem (TP), Laplace Transform (LT), Linear Programming Problem (LPP), Probability Density Function (PDF)

Abstract


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.

Author Biography

Mohammad Rashid Hussain, KING KHALID UNIVERSITY

IS, Assistant Professor

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Published

2019-03-22

How to Cite

Hussain, M. R., Qayyum, M., & Hussain, M. E. (2019). Transportation Problem of LPP Involving Probability Density Function. International Journal of Recent Contributions from Engineering, Science & IT (iJES), 7(1), pp. 42–51. https://doi.org/10.3991/ijes.v7i1.9909

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Section

Short Papers