Modeling of the discrete flows interaction considering correlation between flow elements
Keywords:
stochastic discrete flow; cluster flow structure; average delay time
Abstract
In the paper, the authors consider the simulation of flows interaction in the frame of extended model of discrete stochastic flows with correlation between elements. In the random arrival problem, the average delay time for a single element, which depends on differing clustered structures of major flow, is obtained using computer simulation system for crossing process modeling developed by the authors. The difference between models with and without correlation between elements as well as their application scopes are considered. The applicability of presented in this paper results to creation of intelligent transportation system is.
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References
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Denos C. Gazis. Traffic theory. – Kluwer academic publishers, Dodrecht, 2002. – P. 259.
C. Daganzo. Fundamentals of transportation and traffic operations. Elsevier science ltd, Oxford, UK, 2003, 339 p.
Highway Capacity Manual 2010. Transportation Research Board, Washington, D.C.. 2010.
B.S. Kerner, Introduction to Modern Traffic Flow Theory and Control: The Long Road to Three-Phase Traffic Theory, Springer, New York, 2009, 265 p
May, Adolf. Traffic Flow Fundamentals. – Prentice Hall, Englewood Cliffs, NJ, 1990. – P. 464.
Ventcel, E.S. & Ovcharov, L.A. 1988. Probability theory and its engineering applications. Moscow: Nauka
Didenko I. Simulation of the discrete traffic flow movement through network node / Didenko I., Baiev O., Lazurik V. // Bulletin Kherson National Technical University. – 2013. – vol. 2(47). – P. 125-128.
Tarnoff, Philip John, Bullock, Darcy M, Young, Stanley E, et al. "Continuing Evolution of Travel Time Data Information Collection and Processing", Transportation Research Board Annual Meeting 2009 Paper #09-2030. TRB 88th Annual Meeting Compendium of Papers DVD
Published
2015-05-29
How to Cite
Didenko, I., Lazurik, V., & Samilyk, K. (2015). Modeling of the discrete flows interaction considering correlation between flow elements. Bulletin of V.N. Karazin Kharkiv National University, Series «Mathematical Modeling. Information Technology. Automated Control Systems», 26(1156), 86-91. Retrieved from https://periodicals.karazin.ua/mia/article/view/14217
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