Citation

Mukhopadhyay S, Pramod MJ, Kumar A. IEEE Trans. Intel. Transp. Syst. 2017; 18(10): 2750-2762.

Copyright

(Copyright © 2017, IEEE (Institute of Electrical and Electronics Engineers))

DOI

10.1109/TITS.2017.2665121

PMID

unavailable

Abstract

Mixed vehicular traffic comprising small cars and two-wheeled vehicles (called motorcycles in this paper) arrive at a lane of a signalized road intersection. The traffic does not follow lane-discipline, in that the arriving vehicles do not necessarily queue up one behind the other. The motorcycles are small enough to stand side-by-side with cars or other motorcycles, so as to fill up the width of the lane. With such queue joining behavior, the waiting vehicles form batches, comprising motorcycles, and at most one car. During the green signal period the vehicles in the head-of-the-line batch exit the intersection together. In this paper, assuming a Poisson point process model for vehicle arrivals, we have provided an approximate analysis of such a queueing system. Our approach is to use an assembly queue model for the batching process. The batches generated by the assembly queue enter an interrupted M/SemiMarkov/1 (or M/SM/1) queue. By analyzing the assembly queue we characterize the batch input process for the interrupted M/SM/1 queue. We then develop an extension of the Webster mean delay formula for obtaining the approximate mean delay in the interrupted M/SM/1 queue. Numerical results from the analysis are compared with simulation results. The analysis is shown to be accurate in predicting the increase in the system capacity due to the batching behavior.

Language: en

Keywords

Analytical models; approximate mean delay analysis; assembly queue model; automobiles; Automobiles; batching behavior; batching process; Delays; head-of-the-line batch exit; indisciplined traffic; interrupted queue; ITS; lane-discipline; Markov processes; Mean traffic delay; mixed vehicular traffic; motorcycles; Motorcycles; Poisson point process model; queue joining behavior; Queueing analysis; queueing system; queueing theory; road traffic; Roads; signalized intersection; signalized road intersection; two-wheeled vehicles; Webster mean delay formula