Exact asymptotic formulae of the stationary distribution of a discrete-time two-dimensional QBD process-Reference-Cited by-同舟云学术

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Exact asymptotic formulae of the stationary distribution of a discrete-time two-dimensional QBD process

Published:2018-07-18 Issue:3-4 Volume:90 Page:351-403
ISSN:0257-0130
Container-title:Queueing Systems
language:en
Short-container-title:Queueing Syst

Author:

Ozawa Toshihisa^ORCID,Kobayashi Masahiro

Funder

Japan Society for the Promotion of Science

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,Management Science and Operations Research,Computer Science Applications

Link

http://link.springer.com/article/10.1007/s11134-018-9586-x/fulltext.html

Reference21 articles.

1. Fayolle, G., Malyshev, V.A., Menshikov, M.V.: Topics in the Constructive Theory of Countable Markov Chains. Cambridge University Press, Cambridge (1995)

2. Flajolet, P., Sedgewick, R.: Analytic Combinatorics. Cambridge University Press, Cambridge (2009)

3. Foley, R.D., McDonald, D.R.: Bridges and networks: exact asymptotics. Ann. Appl. Probab. 15(1B), 542–586 (2005)

4. Gail, H.R., Hantler, S.L., Taylor, B.A.: Spectral analysis of M/G/1 and G/M/1 type Markov chain. Adv. Appl. Probab. 28, 114–165 (1996)

5. Gohberg, I., Lancaster, P., Rodman, L.: Matrix Polynomials. SIAM, Philadelphia (2009)

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