In narrow water channels, ship traffic may be affected by water flows and ship interactions. Studying their effects can help maritime authorities to establish appropriate management strategies. In this study, a two-lane cellular automation model is proposed. Further, the behavior of ship traffic is analyzed by setting different water flow velocities and considering ship interactions. Numerical experiment results show that the ship traffic density-flux relation is significantly different from the results obtained by classical models. Furthermore, due to ship interactions, the ship lane-change rate is influenced by the water flow to a certain degree.
1. Dam K T, Tanimoto K, Fatimah E. Investigation of ship waves in a narrow channel. Journal of Marine Science & Technology, 2008, 13(3):223-230.
2. Lee C K, Moon S B, Jeong T G. The investigation of ship maneuvering with hydrodynamic effects between ships in curved narrow channel. International Journal of Naval Architecture & Ocean Engineering, 2016, 8(1):102-109.
3. Gao X, Makino H, Furusho M. Analysis of ship drifting in a narrow channel using Automatic Identification System (AIS) data. Wmu Journal of Maritime Affairs, 2016:1-13.
4. Lárraga M E, Alvarez-Icaza L. Cellular automata model for traffic flow with safe driving conditions. Chinese Physica A, 2014, 23(5):216-226.
5. Nagel K, Schreckenberg M. Cellular automaton model for freeway traffic. J Phys I (Paris) 2:2221. Journal De Physique I, 1992, 2(12).
6. Feng H, Bao X, Zhou J, et al. Cellular automata model on AIS-based for variable two-way waterway. Journal of Industrial Engineering & Management, 2015, 8(3):págs. 674-692.
7. Chowdhury D, Wolf D E, Schreckenberg M. Particle hopping models for two-lane traffic with two kinds of vehicles: Effects of lane-changing rules. Physica A Statistical Mechanics & Its Applications, 1997, 235(3-4):417-439.
8. Wagner P, Kai N, Wolf D E. Realistic multi-lane traffic rules for cellular automata. Physica A Statistical Mechanics & Its Applications, 1997, 234(3-4):687-698.
9. Deutsch J C, Santhosh-Kumar C R, Rickert M, et al. Two lane traffic simulations using cellular automata. Physica A Statistical Mechanics & Its Applications, 1995, 231(4):534-550.
10. Knospe W, Santen L, Schadschneider A, et al. Disorder effects in cellular automata for two-lane traffic. Physica A Statistical Mechanics & Its Applications, 1999, volume 265(3):614-633.
11. Qu X, Meng Q. Development and applications of a simulation model for vessels in the Singapore Straits. Expert Systems with Applications, 2012, 39(9):8430-8438.
12. Zhao H T, Nie C, Li J R, et al. A two-lane cellular automaton traffic flow model with the influence of driver, vehicle and road. International Journal of Modern Physics C, 2015, 27(02):1650018-.
13. Tang T Q, Lou C, Wu Y H, et al. A macro model for traffic flow on road networks with varying road conditions. Journal of Advanced Transportation, 2014, 48(4):304-317.
14. Qu X, Meng Q. Simulation Model for Ship Movements in Singapore Strait and Its Applications[C]// Transportation Research Board 90th Annual Meeting. 2011.
15. Jin S, Qu X, Xu C, et al. An improved multi-value cellular automata model for heterogeneous bicycle traffic flow. Physics Letters A, 2015, 379(39):2409-2416.
16. Sun Z, Chen Z, Hu H, et al. Ship interaction in narrow water channels: A two-lane cellular automata approach. Physica A Statistical Mechanics & Its Applications, 2015, 431:46-51.
17. Yuan Z M, He S, Kellett P, et al. Ship-to-Ship Interaction During Overtaking Operation in Shallow Water. Journal of Ship Research, 2015, 59(3):1-16.