REAL-TIME TRAFFIC SIGNAL OPTIMIZATION USING SEMIGROUP ACTIONS

Abstract

This research presents a semigroup-theoretic approach to optimizing traffic light control systems. By modelling signal states as elements of a cyclic semigroup, transitions can be analyzed and manipulated algebraically. The proposed method uses semigroup actions to dynamically adjust signal timings based on real-time traffic inputs. Case studies and simulation results show that semigroup-based scheduling can enhance urban mobility, reduce congestion, and improve overall traffic flow.