메뉴 건너뛰기




Volumn 62, Issue 1-4, 2005, Pages 349-365

An improved method for bounding stationary measures of finite Markov processes

Author keywords

Bounding techniques; Dependability evaluation; Markov processes; Numerical analysis; Performance analysis; Stationary analysis

Indexed keywords

COMPUTATIONAL METHODS; EIGENVALUES AND EIGENFUNCTIONS; MATRIX ALGEBRA; NUMERICAL ANALYSIS; VECTORS;

EID: 24144454695     PISSN: 01665316     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.peva.2005.07.002     Document Type: Conference Paper
Times cited : (9)

References (15)
  • 1
    • 21344479789 scopus 로고
    • Exact and ordinary lumpability in finite Markov chains
    • P. Buchholz Exact and ordinary lumpability in finite Markov chains J. Appl. Probab. 31 1994 59 75
    • (1994) J. Appl. Probab. , vol.31 , pp. 59-75
    • Buchholz, P.1
  • 2
    • 1642416767 scopus 로고    scopus 로고
    • An iterative bounding method for stochastic automata networks
    • P. Buchholz An iterative bounding method for stochastic automata networks Perform. Evaluat. 49 1-4 2002 211
    • (2002) Perform. Evaluat. , vol.49 , Issue.1-4 , pp. 211
    • Buchholz, P.1
  • 3
    • 33645626108 scopus 로고    scopus 로고
    • An improved method for bounding stationary measures of finite Markov processes
    • University of Dortmund, Department of Computer Science Extended version
    • P. Buchholz, An Improved Method for Bounding Stationary Measures of Finite Markov Processes, Technical Report, University of Dortmund, Department of Computer Science, 2005, Extended version available under http://ls4-www.cs.uni- dortmund.de/home/buchholz/bounding.pdf.
    • (2005) Technical Report
    • Buchholz, P.1
  • 4
    • 0027703137 scopus 로고
    • Stochastic well-formed coloured nets and multiprocessor modelling applications
    • G. Chiola, C. Dutheillet, G. Franceschini, and S. Haddad Stochastic well-formed coloured nets and multiprocessor modelling applications IEEE Trans. Comput. 42 11 1993 1343 1360
    • (1993) IEEE Trans. Comput. , vol.42 , Issue.11 , pp. 1343-1360
    • Chiola, G.1    Dutheillet, C.2    Franceschini, G.3    Haddad, S.4
  • 5
    • 0021508951 scopus 로고
    • Bounds for the positive eigenvectors of nonnegative matrices and for their approximation by decomposition
    • P.J. Courtois, and P. Semal Bounds for the positive eigenvectors of nonnegative matrices and for their approximation by decomposition J. ACM 31 4 1984 804 825
    • (1984) J. ACM , vol.31 , Issue.4 , pp. 804-825
    • Courtois, P.J.1    Semal, P.2
  • 6
    • 0004476672 scopus 로고
    • On polyhedra of Perron-Frobenius eigenvectors
    • P.J. Courtois, and P. Semal On polyhedra of Perron-Frobenius eigenvectors Linear Algebra Appl. 65 1985 157 170
    • (1985) Linear Algebra Appl. , vol.65 , pp. 157-170
    • Courtois, P.J.1    Semal, P.2
  • 7
    • 0028422583 scopus 로고
    • Bounds for quasi-lumpable Markov chains
    • G. Franceschinis, and R.R. Muntz Bounds for quasi-lumpable Markov chains Perform. Evaluat. 20 1-3 1994 223 244
    • (1994) Perform. Evaluat. , vol.20 , Issue.1-3 , pp. 223-244
    • Franceschinis, G.1    Muntz, R.R.2
  • 8
    • 0024682770 scopus 로고
    • Updating the inverse of a matrix
    • W.W. Hager Updating the inverse of a matrix SIAM Rev. 31 2 1989 221 239
    • (1989) SIAM Rev. , vol.31 , Issue.2 , pp. 221-239
    • Hager, W.W.1
  • 10
    • 0035334460 scopus 로고    scopus 로고
    • Bound computation of dependability and performance measures
    • S. Mahevas, and G. Rubino Bound computation of dependability and performance measures IEEE Trans. Comput. 50 5 2001 399 413
    • (2001) IEEE Trans. Comput. , vol.50 , Issue.5 , pp. 399-413
    • Mahevas, S.1    Rubino, G.2
  • 11
    • 0028460281 scopus 로고
    • Computing bounds on steady-state availability of repairable computer systems
    • R.R. Muntz, and J. Lui Computing bounds on steady-state availability of repairable computer systems J. ACM 41 4 1994 676 707
    • (1994) J. ACM , vol.41 , Issue.4 , pp. 676-707
    • Muntz, R.R.1    Lui, J.2
  • 12
    • 33645610010 scopus 로고
    • A theorem on rank modifications to a matrix and its inverse
    • M.J.D. Powell A theorem on rank modifications to a matrix and its inverse Comput. J. 12 1969 288 290
    • (1969) Comput. J. , vol.12 , pp. 288-290
    • Powell, M.J.D.1
  • 13
    • 0026054286 scopus 로고
    • Reduced base model construction for stochastic activity networks
    • W.H. Sanders, and J.F. Meyer Reduced base model construction for stochastic activity networks IEEE J. Select. Areas Commun. 9 1 1991 25 36
    • (1991) IEEE J. Select. Areas Commun. , vol.9 , Issue.1 , pp. 25-36
    • Sanders, W.H.1    Meyer, J.F.2
  • 14
    • 0004859994 scopus 로고
    • Refineable bounds for large Markov chains
    • P. Semal Refineable bounds for large Markov chains IEEE Trans. Comput. 44 10 1995 1216 1222
    • (1995) IEEE Trans. Comput. , vol.44 , Issue.10 , pp. 1216-1222
    • Semal, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.