Existence and Uniqueness of Equilibria for Flows over Time

Cominetti R.; Correa JR; Larré O

Keywords: network equilibrium, 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.

Más información

Título según WOS: Existence and Uniqueness of Equilibria for Flows over Time
Título de la Revista: COMPUTATIONAL LOGISTICS (ICCL 2021)
Volumen: 6756
Editorial: SPRINGER INTERNATIONAL PUBLISHING AG
Fecha de publicación: 2011
Página de inicio: 552
Página final: 563
Idioma: English
Notas: ISI