Heavy-tailed asymptotics for a fluid model driven by an M/G/1 queue

In this paper, an infinite-buffer fluid queue driven by an M/G/1 queue is discussed. The Laplace transform of the distribution of the stationary buffer content is expressed through the minimal positive solution to a crucial equation, similar to the fundamental equation satisfied by the busy period of an M/G/1 queue. Furthermore, the distribution of the stationary buffer content is shown to

• Type: Journal
• Year: 2008
• Where: PE
• Authors: Quan-Lin Li, Liming Liu, Weixin Shang
• Keywords: Infinite-buffer Fluid Queue, Minimal Positive Solution, Optimization, PE 2008, Stationary Buffer Content