Self-Similar Network Traffic and Performance Evaluation
Self-Similar Network Traffic and Performance Evaluation
Queueing Models with Multiple Waiting Lines
Queueing Systems: Theory and Applications
On Markov-Additive Jump Processes
Queueing Systems: Theory and Applications
An Algorithmic Approach for Sensitivity Analysis of Perturbed Quasi-Birth-and-Death Processes
Queueing Systems: Theory and Applications
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In this paper, we consider a continuous-time level-dependent QBD process with a continuous phase variable. We extend the censoring technique to be able to deal with the QBD process. We define a new version for the R- and G-measures, and provide two types of RG-factorizations in terms of these measures. If the matrix of generalized density functions of the QBD process is in L"2([0,+~)^2), which is a space of square integrable bivariate real functions, then we provide orthonormal representations for the R- and G-measures, which lead to the matrix structure of the RG-factorizations. Based on this, we can provide an algorithmic framework for computing main performance measures of the QBD process. Furthermore, we introduce a continuous phase type (CPH) distribution, and then analyze a CPH/CPH/1 queue as an interesting example.