1 citations · 1 across the 4 of their papers we have counts for
5 papers
Bounds on the bias terms for the Markov reward approach
Xinwei Bai, Jasper Goseling
An important step in the Markov reward approach to error bounds on stationary performance measures of Markov chains is to bound the bias terms. Affine functions have been successfu…
A linear programming approach to Markov reward error bounds for queueing networks
Xinwei Bai, Jasper Goseling
In this paper, we present a numerical framework for constructing bounds on stationary performance measures of random walks in the positive orthant using the Markov reward approach.…
Inhomogeneous perturbation and error bounds for the stationary performance of random walks in the quarter plane
Xinwei Bai, Jasper Goseling
A continuous-time random walk in the quarter plane with homogeneous transition rates is considered. Given a non-negative reward function on the state space, we are interested in th…
Optimization of Caching Devices with Geometric Constraints
Konstantin Avrachenkov, Xinwei Bai, Jasper Goseling
It has been recently advocated that in large communication systems it is beneficial both for the users and for the network as a whole to store content closer to users. One particul…
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…