Multiple Class G-Networks with Jumps back to Zero

Authors:
Jean-Michel Fourneau;Leïla Kloul;F. Quessette
Affiliations:
-;-;-
Venue:
MASCOTS '95 Proceedings of the 3rd International Workshop on Modeling, Analysis, and Simulation of Computer and Telecommunication Systems
Year:
1995

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Abstract

We consider multiple class G-networks of processor sharing queues with negative customers which destroy all the customers in a queue. We prove that these networks have a product form solution for steady-state distribution. These networks may have some applications in reliability or performability as the negative customers may clearly model breakdown of computer or communication systems. We also show that under simple assumptions these networks always have a stationary distribution.