Equivalence, reversibility and symmetry properties in fork/join queueing networks with blocking - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Rapport (Rapport De Recherche) Année : 1990

Equivalence, reversibility and symmetry properties in fork/join queueing networks with blocking

Résumé

In this paper we study quantitative as well as qualitative properties of Fork/Join queueing networks with blocking (FJQN/B's). Specifically, we prove theorems regarding the equivalence of the behavior of a FJQN/B and that of its duals of a circuit-free FJQN/B, and a strongly connected marked graph. In addition, we obtain general conditions that must be satisfied by the service times to guarantee the existence of a long term throughput and its independence on the initial configuration. We also establish conditions under which the reverse of a FJQN/B has the same throughput as the original network. Last, by combining the equivalence results for duals and the reversibility results, we establish a symmetry property for the throughput of a FJQN/B.

Domaines

Autre [cs.OH]
Fichier principal
Vignette du fichier
RR-1267.pdf (1.45 Mo) Télécharger le fichier

Dates et versions

inria-00075292 , version 1 (24-05-2006)

Identifiants

  • HAL Id : inria-00075292 , version 1

Citer

Yves Dallery, Zhen Liu, Don Towsley. Equivalence, reversibility and symmetry properties in fork/join queueing networks with blocking. [Research Report] RR-1267, INRIA. 1990. ⟨inria-00075292⟩
296 Consultations
62 Téléchargements

Partager

Gmail Facebook X LinkedIn More