222 citations · 340 across the 26 of their papers we have counts for
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math.PR2014★ 7 cited
Analysis and Computation of the Joint Queue Length Distribution in a FIFO Single-Server Queue with Multiple Batch Markovian Arrival Streams
Hiroyuki Masuyama, Tetsuya Takine
This paper considers a work-conserving FIFO single-server queue with multiple batch Markovian arrival streams governed by a continuous-time finite-state Markov chain. A particular…
math.PR2014
Subexponential Asymptotics of the Stationary Distributions of GI/G/1-Type Markov Chains
Tatsuaki Kimura, Hiroyuki Masuyama, Yutaka Takahashi
This paper considers the subexponential asymptotics of the stationary distributions of GI/G/1-type Markov chains in two cases: (i) the phase transition matrix in non-boundary level…
math.PR2014
Error Bounds for Augmented Truncations of Discrete-Time Block-Monotone Markov Chains under Geometric Drift Conditions
Hiroyuki Masuyama
This paper studies the augmented truncation of discrete-time block-monotone Markov chains under geometric drift conditions. We first present a bound for the total variation distanc…