Dynamic Equilibria in Fluid Queuing Networks
Optimization and Control
2014-01-28 v1
Abstract
This paper continues the study of equilibria for flows over time in the fluid queueing model recently considered by Koch and Skutella [10]. We provide a constructive proof for the existence and uniqueness of equilibria in the case of a single origin-destination with piecewise constant inflow rates, through a detailed analysis of the static flows obtained as derivatives of a dynamic equilibrium. We also give a nonconstructive existence proof of equilibria when the inflow rates belong to including the extension to multiple origin-destinations.
Keywords
Cite
@article{arxiv.1401.6914,
title = {Dynamic Equilibria in Fluid Queuing Networks},
author = {Roberto Cominetti and José R. Correa and Omar Larré},
journal= {arXiv preprint arXiv:1401.6914},
year = {2014}
}