Towards a Numerical Model for the Representation of an Urban Transportation System

The paper discusses a method for modeling the operation of an urban transportation system. The proposed model models the bus operation in an urban transportation system with an equation system. The objective of the proposed model is to simulate the operation of an urban transport network. The network consists of a set of lines, a number of vehicles (buses) circulate on each line, where we consider some variables such as traffic conditions on the sections (bottling), the distribution of travelers on breakpoints, to see the impact of external environment on the network. The coordinates of the breakpoints of a given line are defined with respect to the filing. These points can define by the polynomial interpolation the displacement model in the line in question. The movement of vehicles is subject to a variable commercial speed and acceleration fixed in each segment. The speed depends entirely on a set of constraints related to traffic in the urban space. Finally, with an estimate of the filling of vehicles and the costs of travel related to spare parts, fuel, and payroll, we can deduce the economic profitability.