222 citations · 340 across the 26 of their papers we have counts for
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math.PR2018
A subgeometric convergence formula for finite-level M/G/1-type Markov chains: via a block-decomposition-friendly solution for the Poisson equation of deviation matrix
Hiroyuki Masuyama, Yosuke Katsumata, Tatsuaki Kimura
This paper studies the subgeometric convergence of the stationary distribution in taking the infinite-level limit of a finite-level M/G/1-type Markov chain, that is, in letting the…
cs.PF2018★ 222 cited
A General Formula for the Stationary Distribution of the Age of Information and Its Application to Single-Server Queues
Yoshiaki Inoue, Hiroyuki Masuyama, Tetsuya Takine +1
This paper considers the stationary distribution of the age of information (AoI) in information update systems. We first derive a general formula for the stationary distribution of…