The world faces many challenges in our daily life, and the challenges as considered a mathematical model in a wide range and require different improvement methods and approaches. In this research, we reviewed one of the most important algorithms in swarm intelligence, which is the ant algorithm. One of its shortcomings is that it does not converge quickly, it is slow, and one of its advantages is that it is strong and capable of improvement. The research study adopts a new approach to develop ant algorithm to obtain the solution. The research worked on improving the algorithm with convergence speed and high search ability while ensuring the optimal solution. We applied the Ant algorithm to the street vendor. Optimization with high accuracy while reducing time.