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Volumn 95, Issue 1, 2009, Pages 129-155

Time-bounded model checking of infinite-state continuous-time markov chains

Author keywords

Markov chains; Model checking; Truncation; Uniformization

Indexed keywords

BOUNDED MODEL CHECKING; COMPLEX CONCURRENT SYSTEMS; CONFIGURABLE; CONTINUOUS STOCHASTIC LOGIC; CONTINUOUS TIME MARKOV CHAIN; CONVENTIONAL MODELS; EXPERIMENTAL EVIDENCE; FINITE DEPTH; INFINITE-STATE; MARKOV CHAINS MODEL; MODELING FORMALISMS; ON THE FLIES; ON TIME; PERFORMABILITY; REACHABILITY; STATE EXPLOSION; UNIFORMIZATION;

EID: 77049121123     PISSN: 01692968     EISSN: None     Source Type: Journal    
DOI: 10.3233/FI-2009-145     Document Type: Article
Times cited : (12)

References (35)
  • 5
    • 84974622233 scopus 로고    scopus 로고
    • On the logical characterisation of performability properties
    • Lecture Notes in Computer Science, Springer
    • C. Baier, B. R. Haverkort, H. Hermanns, and J.-P. Katoen. On the Logical Characterisation of Performability Properties. In ICALP, volume 1853 of Lecture Notes in Computer Science, pages 780-792. Springer, 2000.
    • (2000) ICALP , vol.1853 , pp. 780-792
    • Baier, C.1    Haverkort, B.R.2    Hermanns, H.3    Katoen, J.-P.4
  • 8
    • 0017983601 scopus 로고
    • Performance-related reliability measures for computing systems
    • M. D. Beaudry. Performance-Related Reliability Measures for Computing Systems. IEEE Trans. on Comp. Sys, 27(6):540-547, 1978.
    • (1978) IEEE Trans. on Comp. Sys , vol.27 , Issue.6 , pp. 540-547
    • Beaudry, M.D.1
  • 9
    • 84944319371 scopus 로고    scopus 로고
    • Symbolic model checking without BDDs
    • Lecture Notes in Computer Science, Springer
    • A. Biere, A. Cimatti, E.M. Clarke, and Y. Zhu. SymbolicModel Checking without BDDs. In TACAS, volume 1579 of Lecture Notes in Computer Science, pages 193-207. Springer, 1999.
    • (1999) TACAS , vol.1579 , pp. 193-207
    • Biere, A.1    Cimatti, A.2    Clarke, E.M.3    Zhu, Y.4
  • 10
    • 0020226119 scopus 로고
    • Using branching time temporal logic to synthesize synchronization skeletons
    • E. A. Emerson and E. M. Clarke. Using Branching Time Temporal Logic to Synthesize Synchronization Skeletons. Sci. Comput. Program, 2(3):241-266, 1982.
    • (1982) Sci. Comput. Program , vol.2 , Issue.3 , pp. 241-266
    • Emerson, E.A.1    Clarke, E.M.2
  • 11
    • 0023999020 scopus 로고
    • Computing poisson probabilities
    • B. L. Fox and P. W. Glynn. Computing Poisson Probabilities. Commun. ACM, 31(4):440-445, 1988.
    • (1988) Commun. ACM , vol.31 , Issue.4 , pp. 440-445
    • Fox, B.L.1    Glynn, P.W.2
  • 12
    • 0040862006 scopus 로고
    • Finding transient solutions in markovian event systems through randomization
    • W. K. Grassmann. Finding Transient Solutions in Markovian Event Systems Through Randomization. In Numerical Solution of Markov Chains, pages 357-371, 1991.
    • (1991) Numerical Solution of Markov Chains , pp. 357-371
    • Grassmann, W.K.1
  • 13
    • 0032499741 scopus 로고    scopus 로고
    • Quantitative modeling of stochastic systems in molecular biology by using stochastic Petrinets
    • P. J. E. Gross and J. Peccoud. Quantitative modeling of stochastic systems in molecular biology by using stochastic Petrinets. Proc. Natl. Acad. Sci., 95:6750-6755, 1998.
    • (1998) Proc. Natl. Acad. Sci. , vol.95 , pp. 6750-6755
    • Gross, P.J.E.1    Peccoud, J.2
  • 14
    • 77049093808 scopus 로고    scopus 로고
    • Infamy: An infinite-state markov model checker
    • (to appear)
    • E. M. Hahn, H. Hermanns, B. Wachter, and L. Zhang. Infamy: An infinite-state markov model checker. In CAV, 2009 (to appear).
    • (2009) CAV
    • Hahn, E.M.1    Hermanns, H.2    Wachter, B.3    Zhang, L.4
  • 15
    • 0034544334 scopus 로고    scopus 로고
    • On the use ofmodel checking techniques for dependability evaluation
    • B. R. Haverkort, H. Hermanns, and J.-P. Katoen. On the Use ofModel Checking Techniques for Dependability Evaluation. In SRDS, pages 228-237, 2000.
    • (2000) SRDS , pp. 228-237
    • Haverkort, B.R.1    Hermanns, H.2    Katoen, J.-P.3
  • 16
    • 33745802027 scopus 로고    scopus 로고
    • PRISM: A tool for automatic verification of probabilistic systems
    • Lecture Notes in Computer Science, Springer
    • A. Hinton, M. Z. Kwiatkowska, G. Norman, and D. Parker. PRISM: A Tool for Automatic Verification of Probabilistic Systems. In TACAS, volume 3920 of Lecture Notes in Computer Science, pages 441-444. Springer, 2006.
    • (2006) TACAS , vol.3920 , pp. 441-444
    • Hinton, A.1    Kwiatkowska, M.Z.2    Norman, G.3    Parker, D.4
  • 17
    • 18944390941 scopus 로고    scopus 로고
    • The model checker SPIN
    • G. J. Holzmann. The Model Checker SPIN. IEEE Trans. Software Eng., 23(5):279-295, 1997.
    • (1997) IEEE Trans. Software Eng. , vol.23 , Issue.5 , pp. 279-295
    • Holzmann, G.J.1
  • 18
    • 0000637360 scopus 로고
    • Networks of waiting lines
    • J. Jackson. Networks of Waiting Lines. Operations Research, 5:518-521, 1957.
    • (1957) Operations Research , vol.5 , pp. 518-521
    • Jackson, J.1
  • 19
    • 33750308810 scopus 로고    scopus 로고
    • A markov reward model checker
    • IEEE Computer Society
    • J.-P. Katoen, M. Khattri, and I. S. Zapreev. A Markov Reward Model Checker. In QEST, pages 243-244. IEEE Computer Society, 2005.
    • (2005) QEST , pp. 243-244
    • Katoen, J.-P.1    Khattri, M.2    Zapreev, I.S.3
  • 20
    • 38149121410 scopus 로고    scopus 로고
    • Three-valued abstraction for continuous-time markov chains
    • Lecture Notes in Computer Science, Springer
    • J.-P. Katoen, D. Klink, M. Leucker, and V. Wolf. Three-Valued Abstraction for Continuous-Time Markov Chains. In CAV, volume 4590 of Lecture Notes in Computer Science, pages 311-324. Springer, 2007.
    • (2007) CAV , vol.4590 , pp. 311-324
    • Katoen, J.-P.1    Klink, D.2    Leucker, M.3    Wolf, V.4
  • 21
    • 84957808510 scopus 로고    scopus 로고
    • Faster and symbolic CTMC model checking
    • Lecture Notes in Computer Science, Springer
    • J.-P. Katoen, M. Z. Kwiatkowska, G. Norman, and D. Parker. Faster and Symbolic CTMC Model Checking. In PAPM-PROBMIV, volume 2165 of Lecture Notes in Computer Science, pages 23-38. Springer, 2001.
    • (2001) PAPM-PROBMIV , vol.2165 , pp. 23-38
    • Katoen, J.-P.1    Kwiatkowska, M.Z.2    Norman, G.3    Parker, D.4
  • 22
    • 34548060449 scopus 로고    scopus 로고
    • Stochastic model checking
    • Lecture Notes in Computer Science, Springer
    • M. Z. Kwiatkowska, G. Norman, and D. Parker. Stochastic Model Checking. In SFM, volume 4486 of Lecture Notes in Computer Science, pages 220-270. Springer, 2007.
    • (2007) SFM , vol.4486 , pp. 220-270
    • Kwiatkowska, M.Z.1    Norman, G.2    Parker, D.3
  • 23
    • 0029215022 scopus 로고
    • Performability evaluation: Where it is and what lies ahead
    • J. F. Meyer. Performability Evaluation: Where It Is and What Lies Ahead. IEEE Int. Comp. Perf. and Dependability Symp, pages 334-343, 1995.
    • (1995) IEEE Int. Comp. Perf. and Dependability Symp , pp. 334-343
    • Meyer, J.F.1
  • 24
    • 33751347484 scopus 로고    scopus 로고
    • The finite state projection algorithm for the solution of the chemical master equation
    • 044104
    • B. Munsky and M. Khammash. The Finite State Projection Algorithm for the Solution of the Chemical Master Equation. Journal of Chemical Physics, 124(044104), 2006.
    • (2006) Journal of Chemical Physics , vol.124
    • Munsky, B.1    Khammash, M.2
  • 25
    • 34548417080 scopus 로고    scopus 로고
    • A multiple time interval finite state projection algorithm for the solution of the chemical master equation
    • B. Munsky and M. Khammash. A Multiple Time Interval Finite State Projection Algorithm for the Solution of the Chemical Master Equation. Journal of Computational Physics, 2007.
    • (2007) Journal of Computational Physics
    • Munsky, B.1    Khammash, M.2
  • 26
    • 52649163461 scopus 로고    scopus 로고
    • Computation of switch time distributions in stochastic gene regulatory networks
    • B. Munsky and M. Khammash. Computation of Switch Time Distributions in Stochastic Gene Regulatory Networks. In American Control Conference, pages 2761-2766, 2008.
    • (2008) American Control Conference , pp. 2761-2766
    • Munsky, B.1    Khammash, M.2
  • 27
    • 38149043405 scopus 로고    scopus 로고
    • CSL model checking algorithms for infinite-state structured markov chains
    • Lecture Notes in Computer Science, Springer
    • A. Remke and B. R. Haverkort. CSL Model Checking Algorithms for Infinite-State Structured Markov Chains. In FORMATS, volume 4763 of Lecture Notes in Computer Science, pages 336-351. Springer, 2007.
    • (2007) FORMATS , vol.4763 , pp. 336-351
    • Remke, A.1    Haverkort, B.R.2
  • 28
    • 34547523340 scopus 로고    scopus 로고
    • CSL model checking algorithms for QBDs
    • A. Remke, B. R. Haverkort, and L. Cloth. CSL Model Checking Algorithms for QBDs. Theor. Comput. Sci, 382(1):24-41, 2007.
    • (2007) Theor. Comput. Sci , vol.382 , Issue.1 , pp. 24-41
    • Remke, A.1    Haverkort, B.R.2    Cloth, L.3
  • 30
    • 38249031860 scopus 로고
    • On the finite horizon Bellman equation for controlled Markov jump models with unbounded characteristics
    • N. M. van Dijk. On the finite horizon Bellman equation for controlled Markov jump models with unbounded characteristics. Stochastic Proc. Appl, 28:141-157, 1988.
    • (1988) Stochastic Proc. Appl , vol.28 , pp. 141-157
    • Van Dijk, N.M.1
  • 33
    • 47949097191 scopus 로고    scopus 로고
    • Probabilistic model checking modulo theories
    • IEEE Computer Society
    • B. Wachter, L. Zhang, and H. Hermanns. Probabilistic Model Checking Modulo Theories. In QEST, pages 129-138. IEEE Computer Society, 2007.
    • (2007) QEST , pp. 129-138
    • Wachter, B.1    Zhang, L.2    Hermanns, H.3
  • 34
    • 26444453810 scopus 로고    scopus 로고
    • Ymer: A statistical model checker
    • Lecture Notes in Computer Science, Springer
    • H. L. S. Younes. Ymer: A statistical model checker. In CAV, volume 3576 of Lecture Notes in Computer Science, pages 429-433. Springer, 2005.
    • (2005) CAV , vol.3576 , pp. 429-433
    • Younes, H.L.S.1
  • 35
    • 51549111990 scopus 로고    scopus 로고
    • Time-bounded model checking of infinite-state continuous-time markov chains
    • IEEE
    • L. Zhang, H. Hermanns, E. M. Hahn, and B. Wachter. Time-Bounded Model Checking of Infinite-State Continuous-TimeMarkov Chains. In ACSD, pages 98-107. IEEE, 2008.
    • (2008) ACSD , pp. 98-107
    • Zhang, L.1    Hermanns, H.2    Hahn, E.M.3    Wachter, B.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.