33 citations · 73 across the 23 of their papers we have counts for
4 papers · 2 filters
Tail asymptotics of the stationary distribution of a two dimensional reflecting random walk with unbounded upward jumps
Masahiro Kobayashi, Masakiyo Miyazawa
We consider a two dimensional reflecting random walk on the nonnegative integer quadrant. This random walk is assumed to be skip free in the direction to the boundary of the quadra…
Reversibility in Queueing Models
Masakiyo Miyazawa
In stochastic models for queues and their networks, random events evolve in time. A process for their backward evolution is referred to as a time reversed process. It is often grea…
Join the shortest queue among parallel queues: tail asymptotics of its stationary distribution
Masahiro Kobayashi, Yutaka Sakuma, Masakiyo Miyazawa
We are concerned with an -type join the shortest queue (-JSQ for short) with parallel queues for an arbitrary positive integer , where the servers may be heterogen…
Revisit to the tail asymptotics of the double QBD process: Refinement and complete solutions for the coordinate and diagonal directions
Masahiro Kobayashi, Masakiyo Miyazawa
We consider a two dimensional skip-free reflecting random walk on a nonnegative integer quadrant. We are interested in the tail asymptotics of its stationary distribution, provided…