Title :
Discrete time open queueing networks with feedback, bulk arrivals and services
Author_Institution :
Lab. MASI, Univ. Pierre et Marie Curie, Paris, France
fDate :
31 Jan-2 Feb 1994
Abstract :
An open queueing network system of N nodes with Geo(Ai) input and Geo(Si) service at every node is studied. Geo(Ai) and Geo(Si) mean compound geometric. First the author is interested in the cases of eventual independent departure from every node as the isolated queueing system Geo(Ai)/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;
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
DOI :
10.1109/MASCOT.1994.284384
