Mathematical Modeling of Traffic Flow at Quezon Avenue–Rizal Street Plaza Intersection Using the System of Linear Equations and Gauss–Jordan Elimination Method
DOI:
https://doi.org/10.5281/zenodo.22866720Keywords:
Traffic flow, Gauss–Jordan Elimination, System of Linear Equations, Volume-to-Capacity Ratio, Traffic Density, Level of Service, LPTRPAbstract
This study analyzed the traffic flow at the Quezon Avenue–Rizal Street Plaza intersection in San Fernando City, La Union, using the System of Linear Equations and the Gauss–Jordan Elimination method. Specifically, the research employed a quantitative-descriptive design and utilized validated data from the Local Public Transport Route Plan (LPTRP, 2022) to examine vehicular volume, average speed, traffic density, and road capacity. In addition, the study applied mathematical modeling to determine the relationships among these variables and thereby assess the intersection’s operational performance. Moreover, the results showed that traffic volume averaged 695 Passenger Car Units (PCU) per hour and that vehicles traveled at an average speed of 14 km/h, which together produced a density of 49.6 veh/km—indicating Level of Service (LOS) F, or forced flow conditions. Furthermore, the computed Volume-to-Capacity Ratio (V/C) of 0.97 confirmed that the intersection operates near its capacity, leading to unstable flow and recurring congestion. Analysis using the Gauss–Jordan Elimination model revealed that through movements along Quezon Avenue dominate overall traffic flow, while turning maneuvers significantly contribute to delays. Taken together, these findings demonstrate the potential of mathematical modeling in optimizing intersection performance, thus providing empirical support for traffic signal coordination within the framework of the LPTRP.
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