48 citations · 60 across the 17 of their papers we have counts for
8 papers · 1 filter
On the cycle maximum of birth-death processes and networks of queues
Richard J. Boucherie
This paper considers the cycle maximum in birth-death processes as a stepping stone to characterisation of the cycle maximum in single queues and open Kelly-Whittle networks of que…
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…
A Linear Programming Approach to Error Bounds for Random Walks in the Quarter-plane
Jasper Goseling, Richard J. Boucherie, Jan-Kees van Ommeren
We consider the approximation of the performance of random walks in the quarter-plane. The approximation is in terms of a random walk with a product-form stationary distribution, w…
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…