222 citations · 340 across the 26 of their papers we have counts for
4 papers · 1 filter
Specific bounds for a probabilistically interpretable solution of the Poisson equation for general state-space Markov chains with queueing applications
Hiroyuki Masuyama
This paper considers the Poisson equation for general state-space Markov chains in continuous time. The main purpose of this paper is to present specific bounds for the solutions o…
A discrete-time single-server Poisson queueing game: Equilibria simulated by an agent-based model
Yutaka Sakuma, Hiroyuki Masuyama, Emiko Fukuda
This paper considers a discrete-time single-server queue with a single acceptance period for a Poissonian population of homogeneous customers. Customers are served on a first-come…
A new matrix-infinite-product-form solution for upper block-Hessenberg Markov chains and its quasi-algorithmic constructibility
Hiroyuki Masuyama
This paper presents a new matrix-infinite-product-form (MIP-form) solution for the stationary distribution in upper block-Hessenberg Markov chains (UBH-MCs). The existing MIP-form…
A sequential update algorithm for computing the stationary distribution vector in upper block-Hessenberg Markov chains
Hiroyuki Masuyama
This paper proposes a new algorithm for computing the stationary distribution vector in continuous-time upper block-Hessenberg Markov chains. To this end, we consider the last-bloc…