Discrete time open queueing networks with feedback, bulk arrivals and services

Author

Duy, C. Vu

Author_Institution

Lab. MASI, Univ. Pierre et Marie Curie, Paris, France

fYear

1994

fDate

31 Jan-2 Feb 1994

Firstpage

413

Lastpage

414

Abstract

An open queueing network system of N nodes with Geo(A_i) input and Geo(S_i) service at every node is studied. Geo(A_i) and Geo(S_i) mean compound geometric. First the author is interested in the cases of eventual independent departure from every node as the isolated queueing system Geo(A_i)/Geo(S _i)/1. Then the author looks for a configuration of the network which is product form solution compatible. Lastly, the necessary and sufficient condition for an open Markovian queueing network of N nodes to have a solution of product form is proved. A certain number of open Markovian queueing networks which have a solution of product form are found

Keywords

Markov processes; discrete time systems; feedback; open systems; queueing theory; bulk arrivals; compound geometric; discrete time open queueing networks; eventual independent departure; feedback; isolated queueing system; open Markovian queueing network; open queueing network system; product form solution compatible; Asynchronous transfer mode; Communication switching; Continuous time systems; Feedback; Mathematical model; Packet switching; Signal processing; Switches; System testing; Transmission lines;

fLanguage

English

Publisher

ieee

Conference_Titel

Modeling, Analysis, and Simulation of Computer and Telecommunication Systems, 1994., MASCOTS '94., Proceedings of the Second International Workshop on

Conference_Location

Durham, NC

Print_ISBN

0-8186-5292-6

Type

conf

DOI

10.1109/MASCOT.1994.284384

Filename

284384