Stability of a Three-Station Fluid Network

Queueing Systems 0 ( 1999 ) ? { ? 1 Stability of a Three - Station Fluid Network

Stability analysis of cascade networks via fluid models

In this work, the fluid approach methodology is first applied to find a sufficient stability condition for a two-station cascade network: customers that are awaiting service at the first queue can move to the second station, whenever it is free, to be served there immediately, but the opposite is not allowed. Each station is fed by a renewal input with general i.i.d. inter-arrival times and gen...

Stability Analysis of Some Networks with Interacting Servers

In this work, the fluid limit approach is applied to find stability conditions of two models of queueing networks with interacting servers. We first consider a two-station queueing model with two customer classes in which customers that are awaiting service at any queue can move to the other station, whenever it is free, to be served there immediately. Then we consider a cascade-type three-stat...

Stability in Queueing Networks via the Finite Decomposition Property

Determination of the stability behavior of a queueing network is an important part of analyzing such systems. In Gamarnik and Hasenbein (2005) it is shown if a fluid network has the finite decomposition property (FDP) and is not weakly stable, then any queueing network associated with the fluid network is not rate stable. In that paper the FDP was demonstrated for two station queueing networks ...

Stability investigation of hydraulic interconnected suspension system of a vehicle with a quaternion neural network controller

Using hydraulic interconnected suspension (HIS) system to improve the stability of the vehicles is a matter of recent interest of many scholars. In this paper, application of this kind of suspension system and its impact on the stability of the vehicle are studied. The governing dynamic relations of the system are presented, using free body diagram, Newton-Euler motion equations, and relations ...

Existence Condition for the Diffusion Approximations of Multiclass Priority Queueing Networks

In this paper, we extend the work of Chen and Zhang (2000b) and establish a new sufficient condition for the existence of the (conventional) diffusion approximation for multiclass queueing networks under priority service disciplines. This sufficient condition relates to the weak stability of the fluid networks and the stability of the high priority classes of the fluid networks that correspond ...