Diseño y optimización de un modelo matemático para la transición entre el cambio de planes de los tiempos de reparto de los semáforos

Abstract

The transition phase is defined as the process of changing from one traffic-timing plan to another; this process may include changes in the offset, green time or cycle length until coordination with the new plan is reached again. The transition may lead to serious disruptions in traffic flow causing congestion and extra costs associated with additional travel time, fuel consumption and emissions of polluting gases into the atmosphere. This research proposes the design of a nonlinear mathematical model to improve the performance of the transition between signal frequency plans in coordinated intersections. The model includes the minimization of a social cost function that incorporates a reduction in delay, gas emissions and fuel consumption, considering multiple objectives that adopt more effectiveness measures. To solve the mathematical model, an ant colony algorithm is designed to find the optimal coordination parameters during the transition phase. In addition, the new model effectiveness, its validity and usefulness have been proven through its application in two case studies and a real case of a traffic corridor in the city of Santander. This assessment was made based on the model's ability to minimize delays, emissions of air pollution and fuel consumption and its effectiveness in reducing the social costs associated with the transition period.