Результаты исследований: Материалы конференций › материалы › Рецензирование
Wardrop Equilibrium for Networks with the BPR Latency Function. / Lien, Jaimie W.; Mazalov, Vladimir V.; Melnik, Anna V.; Zheng, Jie.
2016. 37-49 Работа представлена на Дискретная оптимизация и исследование операций, Владивосток, Российская Федерация.Результаты исследований: Материалы конференций › материалы › Рецензирование
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TY - CONF
T1 - Wardrop Equilibrium for Networks with the BPR Latency Function
AU - Lien, Jaimie W.
AU - Mazalov, Vladimir V.
AU - Melnik, Anna V.
AU - Zheng, Jie
PY - 2016
Y1 - 2016
N2 - This paper considers a network comprised of parallel routes with the Bureau of Public Road (BPR) latency function and suggests an optimal distribution method for incoming traffic flow. The authors analytically derive a system of equations defining the optimal distribution of the incoming flow with minimum social costs, as well as a corresponding system of equations for the Wardrop equilibrium in this network. In particular, the Wardrop equilibrium is applied to the competition model with rational consumers who use the carriers with minimal cost, where cost is equal to the price for service plus the waiting time for the service. Finally, the social costs under the equilibrium and under the optimal distribution are compared. It is shown that the price of anarchy can be infinitely large in the model with strategic pricing.
AB - This paper considers a network comprised of parallel routes with the Bureau of Public Road (BPR) latency function and suggests an optimal distribution method for incoming traffic flow. The authors analytically derive a system of equations defining the optimal distribution of the incoming flow with minimum social costs, as well as a corresponding system of equations for the Wardrop equilibrium in this network. In particular, the Wardrop equilibrium is applied to the competition model with rational consumers who use the carriers with minimal cost, where cost is equal to the price for service plus the waiting time for the service. Finally, the social costs under the equilibrium and under the optimal distribution are compared. It is shown that the price of anarchy can be infinitely large in the model with strategic pricing.
U2 - 10.1007/978-3-319-44914-2_4
DO - 10.1007/978-3-319-44914-2_4
M3 - Paper
SP - 37
EP - 49
Y2 - 19 September 2016 through 23 September 2016
ER -
ID: 133691351