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pro vyhledávání: '"QBD process"'
Autor:
Ozawa, Toshihisa
We deal with a discrete-time two-dimensional quasi-birth-and-death process (2d-QBD process for short) on $\mathbb{Z}_+^2\times S_0$, where $S_0$ is a finite set, and give a complete expression for the asymptotic decay function of the stationary tail
Externí odkaz:
http://arxiv.org/abs/2301.02434
Autor:
Ozawa, Toshihisa
We consider a discrete-time two-dimensional quasi-birth-and-death process (2d-QBD process for short) $\{(\boldsymbol{X}_n,J_n)\}$ on $\mathbb{Z}_+^2\times S_0$, where $\boldsymbol{X}_n=(X_{1,n},X_{2,n})$ is the level state, $J_n$ the phase state (bac
Externí odkaz:
http://arxiv.org/abs/2202.10651
Autor:
Ozawa, Toshihisa
In order to analyze stability of a two-queue model, we consider a two-dimensional quasi-birth-and-death process (2d-QBD process), denoted by $\{\boldsymbol{Y}(t)\}=\{((L_1(t),L_2(t)),J(t))\}$. The two-dimensional process $\{(L_1(t),L_2(t))\}$ on $\ma
Externí odkaz:
http://arxiv.org/abs/1808.06319
Deriving the time-dependent expected reward function associated with a continuous-time Markov chain involves the computation of its transient deviation matrix. In this paper we focus on the special case of a finite quasi-birth-and-death (QBD) process
Externí odkaz:
http://arxiv.org/abs/1702.02790
Publikováno v:
Stochastic Models. 2021, Vol. 37 Issue 1, p59-84. 26p.
Autor:
Ozawa, Toshihisa, Kobayashi, Masahiro
We consider a discrete-time two-dimensional process $\{(L_{1,n},L_{2,n})\}$ on $\mathbb{Z}_+^2$ with a supplemental process $\{J_n\}$ on a finite set, where individual processes $\{L_{1,n}\}$ and $\{L_{2,n}\}$ are both skip free. We assume that the j
Externí odkaz:
http://arxiv.org/abs/1707.05475
Publikováno v:
In Linear Algebra and Its Applications 1 June 2019 570:61-92
Autor:
Ozawa, Toshihisa
Publikováno v:
In Performance Evaluation April 2019 130:101-118
Akademický článek
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Publikováno v:
In Resource-efficient technologies June 2017 3(2):137-143