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Volumn , Issue , 2007, Pages 151-160

Dependability analysis with Markov Chains: How symmetries improve symbolic computations

Author keywords

[No Author keywords available]

Indexed keywords

AUTOMORPHISM GROUPS; COMPLEMENTARY METHODS; DEPENDABILITY ANALYSES; DEPENDABLE SYSTEMS; LARGE STATE SPACES; LUMPABILITY; MARKOV CHAINS; MARKOVIAN MODELS; MODEL COMPOSITIONS; PARTICULAR MATRIXES; STEADY STATES; SYMBOLIC COM-PUTATION;

EID: 47949090622     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/QEST.2007.16     Document Type: Conference Paper
Times cited : (6)

References (17)
  • 1
    • 21344479789 scopus 로고
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    • P. Buchholz. Exact and ordinaiy lumpability in finite Markov chains. J'rnl of Applied Probability, 1994.
    • (1994) J'rnl of Applied Probability
    • Buchholz, P.1
  • 2
    • 0003209126 scopus 로고
    • Fundamental Algorithms for Permutation Groups
    • Springer
    • G. Butler. Fundamental Algorithms for Permutation Groups. LNCS 559. Springer, 1991.
    • (1991) LNCS , vol.559
    • Butler, G.1
  • 3
    • 84967699997 scopus 로고    scopus 로고
    • A data structure for the efficient Kronecker solution of GSPNs
    • G. Ciardo and A. S. Miner. A data structure for the efficient Kronecker solution of GSPNs. In PNPM, 1999.
    • (1999) PNPM
    • Ciardo, G.1    Miner, A.S.2
  • 5
    • 2942620807 scopus 로고    scopus 로고
    • S. Derisavi, P. Kemper, and W. H. Sanders. Symbolic state-space exploration and numerical analysis of state-sharing composed models. LAA, 2004.
    • S. Derisavi, P. Kemper, and W. H. Sanders. Symbolic state-space exploration and numerical analysis of state-sharing composed models. LAA, 2004.
  • 6
    • 27544467971 scopus 로고    scopus 로고
    • S. Derisavi, P. Kemper, and W. II. Sanders. Lumping matrix diagram representations of Markov models. In Dependable Systems and Networks, pages 742-751, 2005.
    • S. Derisavi, P. Kemper, and W. II. Sanders. Lumping matrix diagram representations of Markov models. In Dependable Systems and Networks, pages 742-751, 2005.
  • 8
    • 0036821893 scopus 로고    scopus 로고
    • D. D. D. et al. The Möbius framework and its implementation. IEEE Trans. Softw. Eng., 2002.
    • D. D. D. et al. The Möbius framework and its implementation. IEEE Trans. Softw. Eng., 2002.
  • 9
    • 33847296750 scopus 로고    scopus 로고
    • E. A. et al. Evaluating the dependability of a LEO satellite network for scientific applications. In QEST '05, Washing-ton, DC, USA, 2005. IEEE Computer Society.
    • E. A. et al. Evaluating the dependability of a LEO satellite network for scientific applications. In QEST '05, Washing-ton, DC, USA, 2005. IEEE Computer Society.
  • 10
    • 84903156410 scopus 로고    scopus 로고
    • G. C. et al. Saturation: An efficient iteration strategy for symbolic state-space generation. LNCS, 2001.
    • G. C. et al. Saturation: An efficient iteration strategy for symbolic state-space generation. LNCS, 2001.
  • 11
    • 47949096609 scopus 로고    scopus 로고
    • P. B. et al. Kronecker based matrix representations for large Markov models. In Validation of Stochastic Systems, 2004.
    • P. B. et al. Kronecker based matrix representations for large Markov models. In Validation of Stochastic Systems, 2004.
  • 12
    • 33749678799 scopus 로고    scopus 로고
    • Serial disk-based analysis of large stochastic models
    • R. Mehmood. Serial disk-based analysis of large stochastic models. In Validation of Stochastic Systems, pages 230-255, 2004.
    • (2004) Validation of Stochastic Systems , pp. 230-255
    • Mehmood, R.1
  • 13
    • 27544511951 scopus 로고    scopus 로고
    • Symbolic representations and analysis of large probabilistic systems
    • A. S. Miner and D. Parker. Symbolic representations and analysis of large probabilistic systems. In Validation of Stochastic Systems, pages 296-338, 2004.
    • (2004) Validation of Stochastic Systems , pp. 296-338
    • Miner, A.S.1    Parker, D.2
  • 14
    • 0008047178 scopus 로고    scopus 로고
    • Lumping in Markov reward processes
    • Technicalreport, IBM Res. Rep, 1989
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    • Nicola, V.F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.