@inproceedings{04a8cfd266004da6bc4566581d31b973,
title = "Existence and uniqueness of equilibria for flows over time",
abstract = "Network flows that vary over time arise naturally when modeling rapidly evolving systems such as the Internet. In this paper, we continue the study of equilibria for flows over time in the single-source single-sink deterministic queuing model proposed by Koch and Skutella. We give a constructive proof for the existence and uniqueness of equilibria for the case of a piecewise constant inflow rate, through a detailed analysis of the static flows obtained as derivatives of a dynamic equilibrium.",
keywords = "Flows Over Time, Network Equilibrium",
author = "Roberto Cominetti and Correa, {Jos{\'e} R.} and Omar Larr{\'e}",
note = "Funding Information: Supported in part by Instituto Milenio Sistemas Complejos de Ingenier{\'i}a, and FONDECYT grants 1090050 and 1100046.; 38th International Colloquium on Automata, Languages and Programming, ICALP 2011 ; Conference date: 04-07-2011 Through 08-07-2011",
year = "2011",
doi = "10.1007/978-3-642-22012-8_44",
language = "English",
isbn = "9783642220111",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
number = "PART 2",
pages = "552--563",
booktitle = "Automata, Languages and Programming - 38th International Colloquium, ICALP 2011, Proceedings",
edition = "PART 2",
}