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Principles of Wardrop for Traffic Assignment in a Road Network. / Krylatov, Alexander; Zakharov, Victor; Tuovinen, Tero.

Optimization Models and Methods for Equilibrium Traffic Assignment. Cham : Springer Nature, 2020. стр. 17-43 (Springer Tracts on Transportation and Traffic; Том 15).

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Harvard

Krylatov, A, Zakharov, V & Tuovinen, T 2020, Principles of Wardrop for Traffic Assignment in a Road Network. в Optimization Models and Methods for Equilibrium Traffic Assignment. Springer Tracts on Transportation and Traffic, Том. 15, Springer Nature, Cham, стр. 17-43. https://doi.org/10.1007/978-3-030-34102-2_2

APA

Krylatov, A., Zakharov, V., & Tuovinen, T. (2020). Principles of Wardrop for Traffic Assignment in a Road Network. в Optimization Models and Methods for Equilibrium Traffic Assignment (стр. 17-43). (Springer Tracts on Transportation and Traffic; Том 15). Springer Nature. https://doi.org/10.1007/978-3-030-34102-2_2

Vancouver

Krylatov A, Zakharov V, Tuovinen T. Principles of Wardrop for Traffic Assignment in a Road Network. в Optimization Models and Methods for Equilibrium Traffic Assignment. Cham: Springer Nature. 2020. стр. 17-43. (Springer Tracts on Transportation and Traffic). https://doi.org/10.1007/978-3-030-34102-2_2

Author

Krylatov, Alexander ; Zakharov, Victor ; Tuovinen, Tero. / Principles of Wardrop for Traffic Assignment in a Road Network. Optimization Models and Methods for Equilibrium Traffic Assignment. Cham : Springer Nature, 2020. стр. 17-43 (Springer Tracts on Transportation and Traffic).

BibTeX

@inbook{4bd6edae28ec40ab9688d5b225d6d1e6,
title = "Principles of Wardrop for Traffic Assignment in a Road Network",
abstract = "In this chapter is devoted to user equilibrium and system optimum of Wardrop. Discussion on the mathematical formulation of traffic assignment problems with regard to their meaning is available in the Sect. 2.1. The specification of necessary basic statements completes this discussion further. The dual traffic assignment problem with travel times between all origins and destinations as dual variables is considered in the Sect. 2.2. The practical significance of such dual formulation is shown to become evident due to the wide spread of online traffic services. The route-flow assignment problem and link-flow assignment problem are reduced to fixed-point problems with explicit operators in the Sect. 2.3 and Sect. 2.4 respectively. Proofs of corresponding theorems are fully given.",
author = "Alexander Krylatov and Victor Zakharov and Tero Tuovinen",
note = "Krylatov A., Zakharov V., Tuovinen T. (2020) Principles of Wardrop for Traffic Assignment in a Road Network. In: Optimization Models and Methods for Equilibrium Traffic Assignment. Springer Tracts on Transportation and Traffic, vol 15. Springer, Cham",
year = "2020",
month = jan,
day = "1",
doi = "10.1007/978-3-030-34102-2_2",
language = "English",
isbn = "9783030341015",
series = "Springer Tracts on Transportation and Traffic",
publisher = "Springer Nature",
pages = "17--43",
booktitle = "Optimization Models and Methods for Equilibrium Traffic Assignment",
address = "Germany",

}

RIS

TY - CHAP

T1 - Principles of Wardrop for Traffic Assignment in a Road Network

AU - Krylatov, Alexander

AU - Zakharov, Victor

AU - Tuovinen, Tero

N1 - Krylatov A., Zakharov V., Tuovinen T. (2020) Principles of Wardrop for Traffic Assignment in a Road Network. In: Optimization Models and Methods for Equilibrium Traffic Assignment. Springer Tracts on Transportation and Traffic, vol 15. Springer, Cham

PY - 2020/1/1

Y1 - 2020/1/1

N2 - In this chapter is devoted to user equilibrium and system optimum of Wardrop. Discussion on the mathematical formulation of traffic assignment problems with regard to their meaning is available in the Sect. 2.1. The specification of necessary basic statements completes this discussion further. The dual traffic assignment problem with travel times between all origins and destinations as dual variables is considered in the Sect. 2.2. The practical significance of such dual formulation is shown to become evident due to the wide spread of online traffic services. The route-flow assignment problem and link-flow assignment problem are reduced to fixed-point problems with explicit operators in the Sect. 2.3 and Sect. 2.4 respectively. Proofs of corresponding theorems are fully given.

AB - In this chapter is devoted to user equilibrium and system optimum of Wardrop. Discussion on the mathematical formulation of traffic assignment problems with regard to their meaning is available in the Sect. 2.1. The specification of necessary basic statements completes this discussion further. The dual traffic assignment problem with travel times between all origins and destinations as dual variables is considered in the Sect. 2.2. The practical significance of such dual formulation is shown to become evident due to the wide spread of online traffic services. The route-flow assignment problem and link-flow assignment problem are reduced to fixed-point problems with explicit operators in the Sect. 2.3 and Sect. 2.4 respectively. Proofs of corresponding theorems are fully given.

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UR - https://www.mendeley.com/catalogue/c12a1343-f1d1-3142-bdcf-db6b7ab5f22a/

U2 - 10.1007/978-3-030-34102-2_2

DO - 10.1007/978-3-030-34102-2_2

M3 - Chapter

AN - SCOPUS:85076774750

SN - 9783030341015

T3 - Springer Tracts on Transportation and Traffic

SP - 17

EP - 43

BT - Optimization Models and Methods for Equilibrium Traffic Assignment

PB - Springer Nature

CY - Cham

ER -

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