Benjamin, Simon C.; Johnson, Neil F.; Hui, P. M. Cellular automata models of traffic flow along a highway containing a junction. (English) Zbl 0901.60099 J. Phys. A, Math. Gen. 29, No. 12, 3119-3127 (1996). Summary: We examine various realistic generalizations of the basic cellular automaton model describing traffic flow along a highway. In particular, we introduce a slow-to-start rule which simulates a possible delay before a car pulls away from being stationary. Having discussed the case of a bare highway, we then consider the presence of a junction. We study the effects of acceleration, disorder, and slow-to-start behaviour on the queue length at the entrance to the highway. Interestingly, the junction’s efficiency is improved by introducing disorder along the highway, and by imposing a speed limit. Cited in 1 ReviewCited in 31 Documents MSC: 60K99 Special processes 68Q80 Cellular automata (computational aspects) 90B99 Operations research and management science Keywords:cellular automaton model; traffic flow along a highway; queue length PDFBibTeX XMLCite \textit{S. C. Benjamin} et al., J. Phys. A, Math. Gen. 29, No. 12, 3119--3127 (1996; Zbl 0901.60099) Full Text: DOI arXiv