Using the Rooted Tree to Find the Optimal Solution for the Transportation Problems

Abstract

Considering economic aspects of the transportation problem and the fact that it is a particular instance of linear programming problems that rely on figuring out the best way to distribute goods from supply centers to customers in a shorter amount of time or at a lower cost, as well as the growing importance of the globalization and rapid development era, resolving the transportation problem has become crucial in the field of operations research to enhance ways of bringing the product in the quickest amount of time or at the lowest cost from the original source to the customer. By developing a new algorithm to address transportation issues, including logistical issues for the supply of goods and their arrival at their destination, we offer a simplified, guaranteed, and less expensive approach than earlier approaches for businesses to deal with transportation problems, thereby improving efficiency, reducing operational risks, and significantly increasing overall competitive advantage for companies.