An Approach for Analysis of Mean Delay at a Signalized Intersection with Indisciplined Traffic

Mukhopadhyay, Samrat and Pramod, MJ and Kumar, Anurag (2015) An Approach for Analysis of Mean Delay at a Signalized Intersection with Indisciplined Traffic. In: 7th International Conference on Communication Systems and Networks, JAN 06-10, 2015, Bangalore, INDIA.

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Abstract

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.

Item Type:	Conference Proceedings
Series.:	International Conference on Communication Systems and Networks
Additional Information:	Copy right for this article belongs to the IEEE, 345 E 47TH ST, NEW YORK, NY 10017 USA
Department/Centre:	Division of Electrical Sciences > Electrical Communication Engineering
Date Deposited:	26 Aug 2016 09:10
Last Modified:	26 Aug 2016 09:10
URI:	http://eprints.iisc.ac.in/id/eprint/54538

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