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math.PR2015★ 1 cited
Invariant measures and error bounds for random walks in the quarter-plane based on sums of geometric terms
Yanting Chen, Richard J. Boucherie, Jasper Goseling
We consider homogeneous random walks in the quarter-plane. The necessary conditions which characterize random walks of which the invariant measure is a sum of geometric terms are p…
math.PR2015
Performance measures for the two-node queue with finite buffers
Yanting Chen, Xinwei Bai, Richard J. Boucherie +1
We consider a two-node queue modeled as a two-dimensional random walk. In particular, we consider the case that one or both queues have finite buffers. We develop an approximation…