Abstract
The minimization of travel times and/or other travel costs in a traffic network based on the state-of-the-art in traffic and transportation research can deteriorate the traffic system considerably, while provoking heavy traffic congestion in urban networks. In this Chapter, we consider an alternative approach for dynamic traffic assignment and control of traffic networks—breakdown minimization principle (BM principle). Methods for traffic control, dynamic traffic assignment, or other types of network optimization based on the BM principle should ensure a minimum probability of traffic congestion in the network.
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Notes
- 1.
In future applications of the BM principle for real traffic and transportation networks, the flow-rate dependence of the probability P (B,k) of spontaneous traffic breakdown at network bottleneck k should be found from empirical observations. See explanations in footnote 1 of Sec. 5.2.
References
B.S. Kerner, J. Phys. A Math. Theor. 44, 092001 (2011)
B.S. Kerner, Phys. Rev. E 84, 045102(R) (2011)
B.S. Kerner, Traffic Eng. Contr. 52, 379–386 (2011)
B.S. Kerner, in Proc. of 2011 IEEE Forum on Integrated and Sustainable Transp. Systems (Austria, Vienna, 2011), pp. 196–201
B.S. Kerner, in Proc. of the 19th ITS World Congress (Austria, Vienna, 2012), Paper No. EU-00190
B.S. Kerner, Physica A 397, 76–110 (2014)
B.S. Kerner, Eur. Phys. J. B 89, 199 (2016)
B.S. Kerner, Physica A 466, 626–662 (2017)
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Kerner, B.S. (2017). Theoretical Fundamental of Transportation Science—Breakdown Minimization (BM) Principle. In: Breakdown in Traffic Networks. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-54473-0_10
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DOI: https://doi.org/10.1007/978-3-662-54473-0_10
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