It is now known that the usual traffic condition (the nominal load being less than 1 at each
station) is not sufficient for stability for a multiclass open queueing network. Although there …

Power grids, flexible manufacturing, cellular communications: interconnectedness has
consequences. This remarkable book gives the tools and philosophy you need to build …

The approach we employ in this chapter to study the stability of queueing networks employs
fluid limits and fluid models. Fluid models were discussed briefly in Section 1.3; we will …

Reentrant lines can be used to model complex manufacturing systems such as wafer
fabrication facilities. As the first step to the optimal or near-optimal scheduling of such lines …

This paper surveys recent work on the stability of open multiclass queueing networks via
fluid models. We recapitulate the stability result of Dai [8]. To facilitate study of the converse …

We consider the problems of performance analysis and stability/instability determination of
queuing networks and scheduling policies. We exhibit a strong duality relationship between …

This paper studies the fluid models of two-station multiclass queueing networks with
deterministic routing. A fluid model is globally stable if the fluid network eventually empties …

We introduce a new method to investigate stability of work-conserving policies in multiclass
queueing networks. The method decomposes feasible trajectories and uses linear …

In this paper, we establish a sufficient condition for the stability of a multiclass fluid network
and queueing network under priority service disciplines. The sufficient condition is based on …

This paper studies the stability of a three‐station fluid network. We show that, unlike the two‐
station networks in Dai and Vande Vate [18], the global stability region of our three‐station …