222 citations · 340 across the 26 of their papers we have counts for
4 papers · 2 filters
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…
Limit formulas for the normalized fundamental matrix of the northwest-corner truncation of Markov chains: Matrix-infinite-product-form solutions of block-Hessenberg Markov chains
Hiroyuki Masuyama
This paper considers the normalized fundamental matrix for the northwest-corner (NW-corner) truncation of ergodic continuous-time Markov chains, technically, of their infinitesimal…
Error bounds for last-column-block-augmented truncations of block-structured Markov chains
Hiroyuki Masuyama
This paper discusses the error estimation of the last-column-block-augmented northwest-corner truncation (LC-block-augmented truncation, for short) of block-structured Markov chain…