Heterogeneous traffic consisting of medium sized cars and two-wheeled vehicles, such as motorcycles, arrive at a single-lane leg of a signalized road intersection. The lane is controlled by periodic “green” and “red” periods. The traffic is lane indisciplined in that, instead of standing one behind the other, the two-wheelers fill up the lane width-wise, by standing side-to-side with each other or with the cars. This gives rise to a queueing model in which the vehicles form batches (e.g., up to four motorcycles side-to-side in a batch, or a car and up to two motorcycles side-to-side) and each batch exits the intersection together. Assuming a Poisson point process model for vehicle arrivals, we approximately analyze this interrupted queue system by viewing it as an assembly queue followed by an interrupted M/SM/1 queue (where SM stands for semi-Markov). Analysis of the assembly queue provides a Markov model for the types of the successive batches in the intersection, and thereby characterizes the semi-Markov process of service times. The mean delay in the interrupted M/SM/1 queue is approximately analyzed by employing an extension of the Webster mean delay formula. Numerical results are provided to illustrate how well the approximation works in several examples.
An approach for analysis of mean delay at a signalized intersection with indisciplined traffic
01.01.2015
1089937 byte
Aufsatz (Konferenz)
Elektronische Ressource
Englisch
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