Masahiro Kobayashi

activity

20122018

k

parallel queues: tail asymptotics of its stationary distribution

3 citations · 3 across the 2 of their papers we have counts for

collaborators

3 papers

math.PR2018

Exact asymptotic formulae of the stationary distribution of a discrete-time 2d-QBD process: an example and additional proofs

Toshihisa Ozawa, Masahiro Kobayashi

A discrete-time two-dimensional quasi-birth-and-death process (2d-QBD process), ${Y_{n}} = {(X_{1, n}, X_{2, n}, J_{n})}$ , is a two-dimensional skip-free random walk $\{(X_{…

math.PR2017

Exact asymptotic formulae of the stationary distribution of a discrete-time two-dimensional QBD process

Toshihisa Ozawa, Masahiro Kobayashi

We consider a discrete-time two-dimensional process ${(L_{1, n}, L_{2, n})}$ on $Z_{+}^{2}$ with a supplemental process ${J_{n}}$ on a finite set, where individual processes $\…

math.PR2012★ 3 cited

Join the shortest queue among $k$ parallel queues: tail asymptotics of its stationary distribution

Masahiro Kobayashi, Yutaka Sakuma, Masakiyo Miyazawa

We are concerned with an $M / M$ -type join the shortest queue ( $M / M$ -JSQ for short) with $k$ parallel queues for an arbitrary positive integer $k$ , where the servers may be heterogen…

Exact asymptotic formulae of the stationary distribution of a discrete-time 2d-QBD process: an example and additional proofs

Exact asymptotic formulae of the stationary distribution of a discrete-time two-dimensional QBD process

Join the shortest queue among k parallel queues: tail asymptotics of its stationary distribution

Join the shortest queue among $k$ parallel queues: tail asymptotics of its stationary distribution