This work explores the application of applied mathematics, specifically network flow models, as a strategic approach to enhancing the transportation system in Monterrey, Mexico. As urbanization accelerates, cities like Monterrey face increasing challenges related to traffic congestion, inefficient public transport, and overall mobility. In particular, we use network flow models to provide new bus lines across the city. Although this is a first step in generating new lines, more work and analysis should be integrated and validated \(^{1}\) Our study is based on the 2005 census, and thus the results may not reflect the actual situation..