Wardrop Optimal Flows

Authors

  • Antonios Kalampakas

DOI:

https://doi.org/10.29020/nybg.ejpam.v17i4.5384

Keywords:

optimal flow, Wardrop equilibrium, resource managment

Abstract

Optimal flow allocation in directed networks is often analyzed through two types of equilibria. The first, called user equilibrium, occurs when the travel times on all utilized routes are the same and shorter than every unused route. The second, called  system optimum,  minimizes the average travel time across all routes. These two concepts represent the optimality for individual users and for the network as a whole, respectively, and generally do not coincide. This paper introduces and examines networks where user equilibrium and system optimum are identical, termed Wardrop Optimal Networks. Moreover, we illustrate that these flows remain consistent under several important  transformations as well as under uniform changes in their latency functions.

Downloads

Published

2024-10-31

Issue

Section

Nonlinear Analysis

How to Cite

Wardrop Optimal Flows. (2024). European Journal of Pure and Applied Mathematics, 17(4), 2448-2466. https://doi.org/10.29020/nybg.ejpam.v17i4.5384