2 citations · 5 across the 5 of their papers we have counts for
5 papers
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…
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…
Necessary conditions for the invariant measure of a random walk to be a sum of geometric terms
Yanting Chen, Richard J. Boucherie, Jasper Goseling
We consider the invariant measure of homogeneous random walks in the quarter-plane. In particular, we consider measures that can be expressed as an infinite sum of geometric terms.…
The Invariant Measure of Random Walks in the Quarter-plane: Representation in Geometric Terms
Yanting Chen, Richard J. Boucherie, Jasper Goseling
We consider the invariant measure of homogeneous random walks in the quarter-plane. In particular, we consider measures that can be expressed as a finite linear combination of geom…
The Invariant Measure of Homogeneous Markov Processes in The Quarter-Plane: Representation in Geometric Terms
Yanting Chen, Richard J. Boucherie, Jasper Goseling
We consider the invariant measure of a homogeneous continuous- time Markov process in the quarter-plane. The basic solutions of the global balance equation are the geometric distri…