Research Article

Development of a Theoretical Delay Model for Heterogeneous and Less Lane-Disciplined Traffic Conditions

Table 1

List of notations.

NotationDescription

Signal control and traffic demand variables
Effective green time for a phase (seconds)
Effective red time for a phase
Cycle length (seconds)
Green time to cycle time ratio (
Traffic arrival rate (PCE per hour)
Saturation flow rate (vehicles per hour or PCE per hour)
Capacity (vehicles per hour or PCE per hour),
Volume-to-capacity ratio, /c

Conventional theoretical delay model variables
Total average control delay (seconds per vehicle or seconds per PCE)
Uniform delay (seconds per vehicle or seconds per PCE)
Random delay (seconds per vehicle or seconds per PCE)
Progression factor
Traffic demand (vehicles/hour or PCE/hour)
Adjustment factor for type of controller
Upstream filtering/metering adjustment factor
Analysis period (hours)
Size of the initial queue at the start of the analysis period T (vehicles)
Delay parameter
Practical degree of saturation

Variables related to PCE estimation
Observed number of cars in a cycle
Observed number of vehicles of class i
Passenger car equivalent corresponding to vehicle class i

Queuing theory-related variables
Ratio of arrival rate to departure rate
Number of service channels/number of virtual lanes
Coefficient of variation of the arrival distribution
Coefficient of variation of the departure distribution

Additional variables
Multiplicative adjustment factor for the theoretical delay equation
Intersection flow ratio
Demand split ratio
Standard deviation of average control delay (seconds per PCE)
Mean absolute error (seconds per PCE)
Mean absolute percentage error (%)