Open AccessA Modified Cellular Automaton in Lagrange Form with Velocity Dependent Acceleration Rate
Author(s) -
K. Rawat,
V. K. Katiyar,
Pratibha Gupta
Publication year - 2011
Publication title -
an international journal of optimization and control: theories and applications/e-an international journal of optimization and control: theories and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.287
H-Index - 6
eISSN - 2146-5703
pISSN - 2146-0957
DOI - 10.11121/ijocta.01.2011.0036
Subject(s) - cellular automaton , acceleration , traffic flow (computer networking) , homogeneous , microscopic traffic flow model , flow (mathematics) , simulation , variable (mathematics) , computer science , mechanics , mathematics , control theory (sociology) , mathematical optimization , algorithm , statistical physics , mathematical analysis , physics , classical mechanics , traffic generation model , real time computing , artificial intelligence , computer security , control (management)
Based on Nasch model of single lane traffic flow, a modified Cellular Automaton traffic flow model incorporating s-t-s effect among vehicles given in Lagrange model for traffic flow is proposed to simulate homogeneous and mixed type traffic flow. The model is developed with modified cell size, incorporating different acceleration characteristics depending upon the speed of each individual vehicle. Comparisons are made between Nasch model and modified model. It is observed that slope of congested branch is changed for modified model due to variable acceleration rate.