33 citations · 73 across the 23 of their papers we have counts for
4 papers · 2 filters
Structure-reversibility of a two dimensional reflecting random walk and its application to queueing network
Masahiro Kobayashi, Masakiyo Miyazawa, Hiroshi Shimizu
We consider a two dimensional reflecting random walk on the nonnegative integer quadrant. It is assumed that this reflecting random walk has skip free transitions. We are concerned…
A multi-dimensional SRBM: Geometric views of its product form stationary distribution
J. G. Dai, Masakiyo Miyazawa, Jian Wu
We present a geometric interpretation of a product form stationary distribution for a -dimensional semimartingale reflecting Brownian motion (SRBM) that lives in the nonnegative…
Decomposable stationary distribution of a multidimensional SRBM
J. G. Dai, Masakiyo Miyazawa, Jian Wu
We call a multidimensional distribution to be decomposable with respect to a partition of two sets of coordinates if the original distribution is the product of the marginal distri…
Two-node queueing network with a heavy-tailed random input: the strong stability case
Sergey Foss, Masakiyo Miyazawa
We consider a two-node fluid network with batch arrivals of random size having a heavy-tailed distribution. We are interested in the tail asymptotics for the stationary distributio…