A novel approach for optimization of transportation problem in chaos environment

Document Type: Research Paper


Operations Research- ISSR- Cairo University



Transportation or shipping problem (TP) involves determining the amount of goods or items to be transported from a number of sources to a number of destinations. TP is a specific case of linear programming (LP) problems and a special algorithm has been developed to solve it.Nature is characterized by its chaotic behavior. Mathematics is considered one of the appropriate tools to achieve the best definition of possible its chaos variables and process. Classical mathematics deals with the numbers as static and meaningless, but chaos mathematics deals with it as dynamic evolutionary, and value- added. This paper attempts to introduce the transportation problem representation in chaos environment and also the necessity of the model is investigated. An approach for determining the chaos optimal solution is proposed briefly. The advantage of the proposed approach is that the basic solution is the best solution. A numerical example is given to illustrate the utility, effectiveness and applicability of the approach for the problem