Quasi-Stationary Distributions of Markov Chains Arising from Queueing Processes: A Survey-Reference-Cited by-同舟云学术

Quasi-Stationary Distributions of Markov Chains Arising from Queueing Processes: A Survey

Published:1999 Issue: Volume: Page:277-311
ISSN:0884-8289
Container-title:International Series in Operations Research & Management Science
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Author:

Kijima Masaaki,Makimoto Naoki

Publisher

Springer US

Link

http://link.springer.com/content/pdf/10.1007/978-1-4615-5191-1_19.pdf

Reference71 articles.

1. Abate, J., and Whitt, W. Spectral theory for skip-free Markov chains. Prob. Eng. Inform. Sci. 3, 77–88, 1989.

2. Bean, N. G., Bright, L., Latouche, G., Pearce, C. E. M., Pollett, P. K., and Taylor, P. G. The quasistationary behaviour of quasi-birth-and-death processes. Ann. Appl. Prob., to appear.

3. Cavender, J. A. Quasi-stationary distributions of birth-and-death processes. Adv. Appl. Prob. 10, 570–586, 1978.

4. Chihara, T. S. An Introduction to Orthogonal Polynomials. Gordon & Breach, New York, 1978.

5. Chung, K. L. Markov Chains with Stationary Transition Probabilities. Springer-Verlag, Berlin, 1960.

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