In applying matrix-analytic methods to M/G/1-type and tree-like QBD Markov chains, it is crucial to determine the solution to a (set of) nonlinear matrix equation(s). This is usually done via iterative methods. We consider the highly structured subclass of triangular M/G/1-type and tree-like QBD Markov chains that allows for an efficient direct solution of the matrix equation
In this paper, we present an algorithmic approach to find the stationary probability distribution of...
This paper describes and compares several methods for computing stationary probability distributions...
A large number of queueing systems may be modelled as infinite Markov chains for which the transitio...
In applying matrix-analytic methods to M/G/1-type and tree-like QBD Markov chains, it is crucial to ...
In applying matrix-analytic methods to M/G/1-type and tree-like QBD Markov chains, it is crucial to ...
AbstractIn this paper, based on matrix structure analysis, we derive and analyze efficient algorithm...
In this paper, based on matrix structure analysis, we derive and analyze efficient algorithms to sol...
In this paper, we study both the GI/M/1 type and theM/G/1 type Markov chains with the special struct...
A matrix analytic paradigm, termed Quasi-Birth-Death Markov chains on binomial-like trees, is introd...
For the nonlinear matrix equations arising in the analysis of M/G/1-type and GI/M/1-type Markov chai...
In this paper, we present a novel algorithmic approach, the hybrid matrix geometric/invariant subspa...
In this paper, we describe a link between Markovian binary trees (MBT) and tree-like quasi-birth-and...
In this thesis, we study methods for computing the invariant probability measure for certain quasi-b...
AbstractIn this paper, a theorem is presented to indicate that there exists a nonnegative constant ϵ...
In the case of birth-and-death processes there are a few exactly solvable si...
In this paper, we present an algorithmic approach to find the stationary probability distribution of...
This paper describes and compares several methods for computing stationary probability distributions...
A large number of queueing systems may be modelled as infinite Markov chains for which the transitio...
In applying matrix-analytic methods to M/G/1-type and tree-like QBD Markov chains, it is crucial to ...
In applying matrix-analytic methods to M/G/1-type and tree-like QBD Markov chains, it is crucial to ...
AbstractIn this paper, based on matrix structure analysis, we derive and analyze efficient algorithm...
In this paper, based on matrix structure analysis, we derive and analyze efficient algorithms to sol...
In this paper, we study both the GI/M/1 type and theM/G/1 type Markov chains with the special struct...
A matrix analytic paradigm, termed Quasi-Birth-Death Markov chains on binomial-like trees, is introd...
For the nonlinear matrix equations arising in the analysis of M/G/1-type and GI/M/1-type Markov chai...
In this paper, we present a novel algorithmic approach, the hybrid matrix geometric/invariant subspa...
In this paper, we describe a link between Markovian binary trees (MBT) and tree-like quasi-birth-and...
In this thesis, we study methods for computing the invariant probability measure for certain quasi-b...
AbstractIn this paper, a theorem is presented to indicate that there exists a nonnegative constant ϵ...
In the case of birth-and-death processes there are a few exactly solvable si...
In this paper, we present an algorithmic approach to find the stationary probability distribution of...
This paper describes and compares several methods for computing stationary probability distributions...
A large number of queueing systems may be modelled as infinite Markov chains for which the transitio...