Gajrat, A. S., Malyshev, V. A., Menshikov, M. V., and Pelih, K. D. (1995). Classification of Markov chains describing the evolution of a string of characters. Uspekhi Mat. Nauk
Gantmacher, F. R. (1959). The Theory of Matrices. Chelsea, New York.
Goebel, K., and Kirk, W. A. (1990). Topics In Metric Fixed Point Theory. Cambridge University Press.
He, Q.-M. (2000). Classification of Markov processes of M/G/1-type with a tree structure and its applications to queueing models. Operat. Res. Lett.
He, Q.-M. (2000). Classification of Markov processes of matrix M/G/1-type with a tree structure and its applications to queueing models. Stoch. Models
He, Q.-M. (2003). A fixed point approach to the classification of Markov chains with a tree structure. Stoch. Models
He, Q.-M., and Alfa, A. S. (2000). The discrete time MMAP[K]/PH[K]/1/LCFS-GPR queue and its variants. In Advances in Algorithmic Methods for Stochastic Models (Proc. 3rd Internat. Conf. Matrix Analytic Methods), eds Latouche, G. and Taylor, P. G., Notable Publications, Neshanic Station, NJ, pp. 167–190.
He, Q.-M., and Li, H. (2002). A linear program approach to ergodicity of M/G/1 type Markov chains with a tree structure. In Matrix-Analytic Methods, World Scientific, River Edge, NJ, pp. 147–162.
Neuts, M. F. (1981). Matrix-Geometric Solutions in Stochastic Models. An Algorithmic Approach. Johns Hopkins University Press, Baltimore, MD.
Neuts, M. F. (1989). Structured Stochastic Matrices of M/G/1 type and Their Applications. Marcel Dekker, New York.
Seneta, E. (1973). Non-Negative Matrices: An Introduction to Theory and Applications. John Wiley, New York.
Takine, T. (2001). A recent progress in algorithmic analysis of FIFO queues with Markovian arrival streams. J. Korean Math. Soc.
Takine, T., Sengupta, B., and Yeung, R. W. (1995). A generalization of the matrix M/G/1 paradigm for Markov chains with a tree structure. Stoch. Models
Van Houdt, B., and Blondia, C. (2001). Stability and performance of stack algorithms for random access communication modeled as a tree structured QBD Markov chain. Stoch. Models
Yeung, R. W., and Sengupta, B. (1994). Matrix product-form solutions for Markov chains with a tree structure. Adv. Appl. Prob.