Question

mathematics in metro routes

Answer 1

There are mathematical modelling methods like gravity modelling etc to arrive at Origin - Destination Matrices for a city. It basically gives the no. of trips between different Traffic analysis zones in a city based on land use distribution in a city. Doing that is not as easy as it sounds. It is a very complex process involving surveying households to arrive at parameters to be used in the modelling. Based on such matrices corridors with Peak Hour Peak Direction trips (PHPDT) are selected.  A metro is usually preferred in corridors where PHPDT is above 30000. These are also used to find rational routes for Buses.