An optimal solution for transportation problem using computing modelling

In linear programming, the transportation problem is one of the most important and successful applications of quantitative analysis for solving business problems in products distribution. Basically, the aim is to minimize the cost of shipping goods from one location to another, so that the needs of each arrival area are met and every shipping location operates within its capacity. This paper presents a solution for transportation problem using computing modelling. A mathematical model is developed using a given transportation tableau. According to this mathematical model, a unified algorithm is developed, and implemented as a software program that computes different mathematical methods to find optimal solutions for transportation problems. This is because the manual solutions incorporate many complicated calculations, which may encounter several mistakes and consume time and efforts. Economically, such a solution could provide companies and factories with the ability to transfer their goods and products from supply centers to demand centers in the lowest cost. The solution might help companies to work on increasing or decreasing production of some items according to the relationship between the demand and supply quantities. A program has been designed and tested with different cases, where its output results were accurate and justified when compared by manual calculations.