Transient analysis of acyclic markov chains
Publication
, Journal Article
Maire, RA; Reibman, AL; Trivedi, KS
Published in: Performance Evaluation
January 1, 1987
Continuous-time Markov chains are commonly used insystem reliability modeling. In this paper, we discuss a method for automatically deriving transient solutions that are symbolic in t for acyclic Markov chains. Our method also includes parametric sensitivity analysis of the transient solution and several cumulative measures associated with Markov chain behavior. We include three examples, one to show the use of our method in evaluating approximate solution techniques, one showing parametric sensitivity analysis of a large Markov model, and one demonstrating the computation of cumulative measures for an acyclic Markov reward process. © 1987.
Duke Scholars
Published In
Performance Evaluation
DOI
ISSN
0166-5316
Publication Date
January 1, 1987
Volume
7
Issue
3
Start / End Page
175 / 194
Related Subject Headings
- Networking & Telecommunications
- 49 Mathematical sciences
- 46 Information and computing sciences
- 10 Technology
- 08 Information and Computing Sciences
- 01 Mathematical Sciences
Citation
APA
Chicago
ICMJE
MLA
NLM
Maire, R. A., Reibman, A. L., & Trivedi, K. S. (1987). Transient analysis of acyclic markov chains. Performance Evaluation, 7(3), 175–194. https://doi.org/10.1016/0166-5316(87)90039-3
Maire, R. A., A. L. Reibman, and K. S. Trivedi. “Transient analysis of acyclic markov chains.” Performance Evaluation 7, no. 3 (January 1, 1987): 175–94. https://doi.org/10.1016/0166-5316(87)90039-3.
Maire RA, Reibman AL, Trivedi KS. Transient analysis of acyclic markov chains. Performance Evaluation. 1987 Jan 1;7(3):175–94.
Maire, R. A., et al. “Transient analysis of acyclic markov chains.” Performance Evaluation, vol. 7, no. 3, Jan. 1987, pp. 175–94. Scopus, doi:10.1016/0166-5316(87)90039-3.
Maire RA, Reibman AL, Trivedi KS. Transient analysis of acyclic markov chains. Performance Evaluation. 1987 Jan 1;7(3):175–194.
Published In
Performance Evaluation
DOI
ISSN
0166-5316
Publication Date
January 1, 1987
Volume
7
Issue
3
Start / End Page
175 / 194
Related Subject Headings
- Networking & Telecommunications
- 49 Mathematical sciences
- 46 Information and computing sciences
- 10 Technology
- 08 Information and Computing Sciences
- 01 Mathematical Sciences