Document Type : Research Paper
School of Mathematics, University of Tabriz,Tabriz, Iran.
Many quick-link optimization models of transferring corrosive materials, need some constraints to change the output space such that all of the criteria are met, which forms a nonlinear problem with specific constraints. So we use an approach for finding global solutions of mixed-integer nonlinear optimization problems with ordinary differential equation constraints on the shortest path problem connective body composition because we need to save time. For the solution of constrained differential equations, we present a numerical method by coupling an implicit numerical method, and the results will be expressed by showing that the optimal path is selected.