1 citations · 1 across the 5 of their papers we have counts for
5 papers
A geometric convergence formula for the level-increment-truncation approximation of M/G/1-type Markov chains
Katsuhisa Ouchi, Hiroyuki Masuyama
This paper considers an approximation usually used when implementing Ramaswami's recursion for the stationary distribution of the M/G/1-type Markov chain. The approximation is call…
Level-wise Subgeometric Convergence of the Level-increment Truncation Approximation of M/G/1-type Markov Chains
Katsuhisa Ouchi, Hiroyuki Masuyama
This paper considers the level-increment (LI) truncation approximation of M/G/1-type Markov chains. The LI truncation approximation is useful for implementing the M/G/1 paradigm, w…
The stability condition of BMAP/M/ queues
Moeko Yajima, Tuan Phung-Duc, Hiroyuki Masuyama
This paper considers a BMAP/M/ queue with a batch Markovian arrival process (BMAP) and an exponential service time distribution. We first prove that the BMAP/M/ que…
Simple error bounds for the QBD approximation of a special class of two dimensional reflecting random walks
Hiroyuki Masuyama, Yutaka Sakuma, Masahiro Kobayashi
This paper considers the QBD approximation of a special class of two-dimensional reflecting random walks (2D-RRWs). A typical example of the 2D-RRWs is a two-node Jackson network w…
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…