Computing Closed-Form Stochastic Bounds on the Stationary Distribution of Markov Chains

Author:

Mamoun Mouad Ben,Pekergin Nihal

Publisher

Birkhäuser Basel

Reference9 articles.

1. Technical report IMAG-Grenoble, France RR Mai-25;O Abu-amsha,1996

2. T. Dayar and N. Pekergin, Stochastic comparison, reorderings, and nearly completely decomposable Markov chains, in the Proceedings of the International Conference on the Numerical Solution of Markov Chains (NSMC’99),pp. 228–246, (Ed. B. Plateau, W. Stewart), Prensas universitarias de Zaragoza, (1999).

3. J. Keilson, A. Kester, Monotone Matrices and Monotone Markov Processes, Stochastic Processes and their Applications, vol.5, pp. 231–241, (1977).

4. J. Lui, R. Muntz, D. Towsley, Bounding the mean response time of the minimum expected delay routing policy: an algorithmic approach, IEEE Trans. on Compt, vol. 44, no. 12, (Dec. 1995).

5. J. Lui, R. Muntz, D. Towsley, Computing performance bounds of Fork-Join parallel programs under a multiprocessing environment, IEEE Trans. Paral. and Dist. Comp, vol. 9, no.3, (march 1998). vol. 44, no. 12, (Dec. 1995).

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1. Closed Form Absorption Time Bounds;Formal Methods and Stochastic Models for Performance Evaluation;2007

2. Class C Markov Chains and Transient Analysis;Positive Systems

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