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.
Original languageEnglish
Pages37-49
Number of pages13
DOIs
StatePublished - 2016
EventДискретная оптимизация и исследование операций - Владивосток, Russian Federation
Duration: 19 Sep 201623 Sep 2016

Conference

ConferenceДискретная оптимизация и исследование операций
Abbreviated titleDOOR 2016
Country/TerritoryRussian Federation
CityВладивосток
Period19/09/1623/09/16

ID: 133691351