Resumen

POZO VALDIVIEZO, Alex Eduardo  y  GARCIA MEDINA, Leonardo David. Mathematical modeling of travel times in trolleybus system. Perfiles [online]. 2023, vol.1, n.30, pp.66-75. ISSN 2477-9105.  https://doi.org/10.47187/perf.v1i30.244.

In this study, the optimization of the mobilization of Trolleybus users on the route that covers the avenues Maldonado, 10 de Agosto and Galo Plaza Lasso, which are transited by the integrated Trolleybus system in Quito, was addressed. The methodological approach began with the consideration of a deterministic displacement of the articulated bus from one stop to the next, limited to the C1 circuit, which covers a 10-kilometer stretch of the 22.5 kilometers of the total 22.5 kilometers of the route.

A horizontal and straight trajectory was assumed, assuming that all traffic lights remained green in order to maintain a constant speed during the trip. A mathematical model was developed based on a functional of cost representing the travel time between stops, subject to a system of ordinary differential equations describing the dynamics of the articulated vehicle as a function of time.

The purpose of this study was the implementation of optimal time control, using Pontryagin's maximum principle. To achieve this, a numerical simulation was performed to identify the optimal speed profile of the articulated vehicle on this route. This approach provides a solid basis for making informed decisions and improving the efficiency of Quito's public transport.

Palabras clave : functional of cost; trajectory; Pontryagin's Maximum Principle; optimal control.

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