Invariant states and rates of convergence for a critical fluid model of a processor sharing queue

Autor:	Puha, A L, Williams, R J
Jazyk:	angličtina
Rok vydání:	2004
Předmět:	renewal measures renewal functions critical fluid model coupling renewal processes measure-valued solution processor sharing queue invariant states
Zdroj:	Puha, A L; & Williams, R J. (2004). Invariant states and rates of convergence for a critical fluid model of a processor sharing queue. Annals of Applied Probability, 14(2), 517-554. UC San Diego: Retrieved from: http://www.escholarship.org/uc/item/6xg7m9b9
Popis:	This paper contains an asymptotic analysis of a fluid model for a heavily loaded processor sharing queue. Specifically, we consider the behavior of solutions of critical fluid models as time approaches infinity. The main theorems of the paper provide sufficient conditions for a fluid model solution to converge to an invariant state and, under slightly more restrictive assumptions, provide a rate of convergence. These results are used in a related work by Gromoll for establishing a heavy traffic diffusion approximation for a processor sharing queue.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=od_______325::e83eb22c2908d2d983da7e47bc831967 http://www.escholarship.org/uc/item/6xg7m9b9 Zobrazit plný text záznamu