Existence condition for the diffusion approximations of multiclass priority queueing networks

• Published in: Queueing systems Vol. 38; no. 4; pp. 435 - 470
• Main Authors: Chen, Hong, Ye, Heng Qing
• Format: Journal Article
• Language: English
• Published: Dordrecht Kluwer 01.01.2001; Springer Nature B.V
• Subjects: Applied sciences; Approximation; Brownian motion; Central limit theorem; Communications networks; Employment; Exact sciences and technology; Mathematical models; Operational research and scientific management; Operational research. Management science; Queuing; Queuing theory. Traffic theory; Random variables; Servers; Studies; Brownian motion; Existence condition; Sufficient condition; Stability; Priority; Heavy traffic; Fluid model; Buffer system; Queueing network; Semimartingale

In this paper, we extend the work of Chen and Zhang 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 netwo...