most citedLight-tailed asymptotics of stationary tail probability vectors of Markov chains of M/G/1 type

17 citations · 17 across the 2 of their papers we have counts for

collaborators
Showing math.PRShow all

2 papers · 1 filter

math.PR2013

Heavy-traffic asymptotic formulas for the multiclass M/G/1 queue

Hiroshi Miyawaki, Hiroyuki Masuyama, Yutaka Takahashi

This paper studies the heavy-traffic asymptotics for the multiclass FIFO M/G/1 queue. We first derive the probability generating function of the joint queue length distributi…

math.PR2011★ 17 cited

Light-tailed asymptotics of stationary tail probability vectors of Markov chains of M/G/1 type

Tatsuaki Kimura, Kentaro Daikoku, Hiroyuki Masuyama +1

This paper studies the light-tailed asymptotics of the stationary tail probability vectors of a Markov chain of M/G/1 type. Almost all related studies have focused on the typical c…