33 citations · 46 across the 10 of their papers we have counts for
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math.PR2012★ 33 cited
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…
math.PR2012★ 3 cited
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…
math.PR2012★ 8 cited
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…