Existence and Uniqueness of Equilibria for Flows over Time
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: | WALCOM: ALGORITHMS AND COMPUTATION, WALCOM 2024 |
Volumen: | 6756 |
Editorial: | SPRINGER-VERLAG SINGAPORE PTE LTD |
Fecha de publicación: | 2011 |
Página de inicio: | 552 |
Página final: | 563 |
Idioma: | English |
Notas: | ISI |