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Modeling of headway/spacing between two consecutive vehicles has manyapplications in traffic flow theory and transport practice. Most knownapproaches only study the vehicles running on freeways. In this paper, wepropose a model to explain the spacing distribution of queuing vehicles infront of a signalized junction based on random-matrix theory. We show that therecently measured spacing distribution data well fit the spacing distributionof a Gaussian symplectic ensemble (GSE). These results are also compared withthe spacing distribution observed for car parking problem. Whyvehicle-stationary-queuing and vehicle-parking have different spacingdistributions (GSE vs GUE) seems to lie in the difference of driving patterns.

Modeling Spacing Distribution of Queuing Vehicles in Front of a Signalized Junction Using Random-Matrix Theory