A Comprehensive Performance Evaluation on Iterative Algorithms for Sensitivity Analysis of Continuous-Time Markov Chains

Author:

CHENG Yepeng1,OKAMURA Hiroyuki1,DOHI Tadashi1

Affiliation:

1. Department of Information Engineering, Graduate School of Engineering, Hiroshima University

Publisher

Institute of Electronics, Information and Communications Engineers (IEICE)

Subject

Applied Mathematics,Electrical and Electronic Engineering,Computer Graphics and Computer-Aided Design,Signal Processing

Reference17 articles.

1. [1] A.C. Marquez, A.S. Heguedas, and B. Iung, “Monte Carlo-based assessment of system availability. A case study for cogeneration plants,” Reliab. Eng. Syst. Safe., vol.88, no.3, pp.273-289, 2005. 10.1016/j.ress.2004.07.018

2. [3] S. Kumar, W. Grassmann, and R. Billington, “A stable algorithm to calculate steady-state probability and frequency of a Markov system,” IEEE Trans. Rel., vol.R-36, no.1, pp.58-62, April 1987. 10.1109/tr.1987.5222295

3. [4] S.Z. Amir and F. Xavier, “Steady-state Markov chain analysis for heterogeneous cognitive radio networks,” IEEE Sarnoff Symposium, 2010. 10.1109/sarnof.2010.5469751

4. [5] T.A. Davis, Direct Methods for Sparse Linear Systems, SIAM, Philadelphia, 2006. 10.1137/1.9780898718881

5. [6] H. Okamura and T. Dohi, “Performance comparison of algorithms for computing parametric sensitivity functions in continuous-time Markov chains,” Proc. 2016 Asia-Pacific International Symposium on Advanced Reliability and Maintenance Modeling, pp.415-422, McGraw-Hill, Taiwan, 2016.

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