- Moment matching algorithm
- Overview
- Brief tutorial on phase type distributions
- State of the art in moment matching algorithms
- Characterizing phase type distributions
- EC distribution
- Simple closed form solution
- Complete closed form solution
- Positive closed form solution
- Concluding remarks

- Dimensionality reduction of Markov chains
- Overview
- Brief tutorial on matrix analytic methods
- State of the art in the analysis of multidimensional Markov chains
- FB, RFB, and GFB processes
- Dimensionality reduction
- Approximations of dimensionality reduction
- Moments of inter-level passage times in QBD processes
- Computing various performance measures
- Validation
- Concluding remarks

Takayuki Osogami 2005-07-19