222 citations · 340 across the 26 of their papers we have counts for
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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.PR2013★ 7 cited
Subexponential tail equivalence of the queue length distributions of BMAP/GI/1 queues with and without retrials
Hiroyuki Masuyama
The main contribution of this paper is to prove the subexponential tail equivalence of the stationary queue length distributions in the BMAP/GI/1 queues with and without retrials.…
math.PR2013★ 3 cited
A sufficient condition for the subexponential asymptotics of GI/G/1-type Markov chains with queueing applications
Hiroyuki Masuyama
The main contribution of this paper is to present a new sufficient condition for the subexponential asymptotics of the stationary distribution of a GI/GI/1-type Markov chain withou…