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K. E. Avrachenkov, Analytic Perturbation Theory and its Applications, Thesis in University of South Australia, 1999. Available at http://wwwsop. inria.fr/mistral/personnel/K.Avrachenkov/moi.html

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Singularly Perturbed Finite Markov Chains with General Ergodic.. - Avrachenkov   Self-citation (Avrachenkov)   (Correct)

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Avrachenkov, K.E. (1999). Analytic perturbation theory and its applications, PhD Thesis, University of South Australia.


Perturbation Analysis For Denumerable Markov Chains.. - Altman.. (2003)   Self-citation (Avrachenkov)   (Correct)

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Avrachenkov, K.E., (1999). Analytic Perturbation Theory and its Applications, Ph.D. Thesis, University of South Australia. Available electronically at http://www-sop.inria.fr/mistral/personnel/K.Avrachenkov/moi.html


Perturbation Analysis For Denumerable Markov Chains With .. - Altman, Avrachenkov, Al. (2004)   Self-citation (Avrachenkov)   (Correct)

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Avrachenkov, K. E. (1999). Analytic perturbation theory and its applications. Doctoral Thesis, University of South Australia. Available at http://www-sop.inria.fr/mistral/personnel/K.Avrachenkov/moi.html


The first Laurent series coefficients for singularly.. - Avrachenkov, Haviv   Self-citation (Avrachenkov)   (Correct)

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Avrachenkov, K.E. (1999), \Analytic Perturbation Theory and its Applications", PhD Thesis, available at http://www-sop.inria.fr/mistral/personnel/K.Avrachenkov/.


Singularly Perturbed Finite Markov Chains with General Ergodic.. - Avrachenkov   Self-citation (Avrachenkov)   (Correct)

....; Pm is a stochastic matrix, we conclude that matrix I Gamma S(0) has zero as an eigenvalue with multiplicity of at least m. Of course, I Gamma S(0) is not invertible. However, the matrix (I Gamma S( Gamma1 exists for small positive (but not zero) values of . From the results of [2, 3, 14], it follows that one can expand (I Gamma S( Gamma1 as a Laurent series at = 0 (I Gamma S( Gamma1 = 1 p U ( Gammap) U (0) U (1) 4) One can use the methods of [2, 3, 14] to calculate the coeOEcients of the above series. These methods are computationally ....

.... Gamma1 exists for small positive (but not zero) values of . From the results of [2, 3, 14] it follows that one can expand (I Gamma S( Gamma1 as a Laurent series at = 0 (I Gamma S( Gamma1 = 1 p U ( Gammap) U (0) U (1) 4) One can use the methods of [2, 3, 14] to calculate the coeOEcients of the above series. These methods are computationally stable even for large matrices. Actually, as shown below, one needs to compute only U ( Gamma1) and U (0) Substituting the expression R i ( R i (0) C Ri and the Laurent series (4) into formula (3) we ....

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Avrachenkov, K.E. (1999). Analytic perturbation theory and its applications, PhD Thesis, University of South Australia.


A Queuing Analysis of Packet Dropping over a Wireless Link.. - El-Azouzi, Altman   (Correct)

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K. E. Avrachenkov, Analytic Perturbation Theory and its Applications, Thesis in University of South Australia, 1999. Available at http://wwwsop. inria.fr/mistral/personnel/K.Avrachenkov/moi.html


A Queuing Analysis of Packet Dropping Over a Wireless Link.. - El-Azouzi, Altman   (Correct)

No context found.

K. E. Avrachenkov, Analytic Perturbation Theory and its Applications, Thesis in University of South Australia, 1999. Available at http://wwwsop. inria.fr/mistral/personnel/K.Avrachenkov/moi.html

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