메뉴 건너뛰기




Volumn 35, Issue 2 SPEC. ISS., 2009, Pages 178-194

State-density functions over DBM domains in the analysis of non-Markovian models

Author keywords

Approximate state space representation; Bernstein polynomials; Correctness verification; Dense time state space analysis; Density function approximation; Difference Bounds Matrix; Markov Renewal Theory; Performance and dependability; Quantitative evaluation; Stochastic Time Petri nets

Indexed keywords

APPROXIMATE STATE-SPACE REPRESENTATION; BERNSTEIN POLYNOMIALS; CORRECTNESS VERIFICATION; DENSE-TIME STATE-SPACE ANALYSIS; DENSITY FUNCTION APPROXIMATION; DIFFERENCE BOUNDS MATRIX; MARKOV RENEWAL THEORY; PERFORMANCE AND DEPENDABILITY; QUANTITATIVE EVALUATION; STOCHASTIC TIME PETRI NETS;

EID: 67349135044     PISSN: 00985589     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSE.2008.101     Document Type: Article
Times cited : (35)

References (39)
  • 1
    • 84976753721 scopus 로고
    • A Class of Generalized Stochastic Petri Nets for the Performance Evaluation of Multi-processor Systems
    • M.M. Ajmone, G. Balbo, and G. Conte, "A Class of Generalized Stochastic Petri Nets for the Performance Evaluation of Multi-processor Systems," ACM Trans. Computer Systems, 1984.
    • (1984) ACM Trans. Computer Systems
    • Ajmone, M.M.1    Balbo, G.2    Conte, G.3
  • 6
    • 0026120365 scopus 로고
    • Modeling and Verification of Time Dependent Systems Using Time Petri Nets
    • Mar
    • B. Berthomieu and M. Diaz, "Modeling and Verification of Time Dependent Systems Using Time Petri Nets," IEEE Trans. Software Eng., vol. 17, no. 3, pp. 259-273, Mar. 1991.
    • (1991) IEEE Trans. Software Eng , vol.17 , Issue.3 , pp. 259-273
    • Berthomieu, B.1    Diaz, M.2
  • 8
    • 3142637435 scopus 로고    scopus 로고
    • The Tool TINA - Construction of Abstract State Spaces for Petri Nets and Time Petri Nets
    • B. Berthomieu, P.-O. Ribet, and F. Vernadat, "The Tool TINA - Construction of Abstract State Spaces for Petri Nets and Time Petri Nets," Int'l J. Production Research, vol. 42, no. 14, 2004.
    • (2004) Int'l J. Production Research , vol.42 , Issue.14
    • Berthomieu, B.1    Ribet, P.-O.2    Vernadat, F.3
  • 9
    • 0003141975 scopus 로고
    • A Benchmark for PH Estimation Algorithms: Result for Acyclic-PH
    • A. Bobbio and M. Telek, "A Benchmark for PH Estimation Algorithms: Result for Acyclic-PH," Stochastic Models, vol. 10, pp. 661-677, 1994.
    • (1994) Stochastic Models , vol.10 , pp. 661-677
    • Bobbio, A.1    Telek, M.2
  • 10
    • 1842426438 scopus 로고    scopus 로고
    • Timed State Space Analysis of Real Time Preemptive Systems
    • Feb
    • G. Bucci, A. Fedeli, L. Sassoli, and E. Vicario, "Timed State Space Analysis of Real Time Preemptive Systems," IEEE Trans. Software Eng. vol. 30, no. 2, pp. 97-111, Feb. 2004.
    • (2004) IEEE Trans. Software Eng , vol.30 , Issue.2 , pp. 97-111
    • Bucci, G.1    Fedeli, A.2    Sassoli, L.3    Vicario, E.4
  • 13
    • 73449145954 scopus 로고    scopus 로고
    • Using Stochastic State Classes in Quantitative Evaluation of Dense-Time Reactive Systems
    • accepted for publication
    • L. Carnevali, L. Sassoli, and E. Vicario, "Using Stochastic State Classes in Quantitative Evaluation of Dense-Time Reactive Systems," IEEE Trans. Software Eng., accepted for publication.
    • IEEE Trans. Software Eng
    • Carnevali, L.1    Sassoli, L.2    Vicario, E.3
  • 15
  • 16
    • 0028465894 scopus 로고
    • A Characterization of the Stochastic Process Underlying a Stochastic Petri Net
    • July
    • G. Ciardo, R. German, and C. Lindemann, "A Characterization of the Stochastic Process Underlying a Stochastic Petri Net," IEEE Trans. Software Eng., vol. 20, no. 7, pp. 506-515, July 1994.
    • (1994) IEEE Trans. Software Eng , vol.20 , Issue.7 , pp. 506-515
    • Ciardo, G.1    German, R.2    Lindemann, C.3
  • 18
    • 67349153564 scopus 로고    scopus 로고
    • C. Daws, A. Olivero, S. Tripakis, and S. Yovine, The Tool KRONOS, Proc. Hybrid Systems III, 1995.
    • C. Daws, A. Olivero, S. Tripakis, and S. Yovine, "The Tool KRONOS," Proc. Hybrid Systems III, 1995.
  • 20
    • 0031701596 scopus 로고    scopus 로고
    • Fitting Mixtures of Exponentials to Long-Tail Distributions to Analyze Network Performance Models
    • A. Feldmann and W. Whitt, "Fitting Mixtures of Exponentials to Long-Tail Distributions to Analyze Network Performance Models," Performance Evaluation, vol. 31, nos. 3-4, pp. 245-279, 1998.
    • (1998) Performance Evaluation , vol.31 , Issue.3-4 , pp. 245-279
    • Feldmann, A.1    Whitt, W.2
  • 23
    • 0343223963 scopus 로고    scopus 로고
    • Formal Relation of Markov Renewal Theory and Supplementary Variables in the Analysis of Stochastic Petri Nets
    • R. German and M. Telek, "Formal Relation of Markov Renewal Theory and Supplementary Variables in the Analysis of Stochastic Petri Nets," Proc. Eighth Int'l Workshop Petri Nets and Performance Models, pp. 64-73, 1999.
    • (1999) Proc. Eighth Int'l Workshop Petri Nets and Performance Models , pp. 64-73
    • German, R.1    Telek, M.2
  • 24
    • 0030257420 scopus 로고    scopus 로고
    • Numerical Analysis of Deterministic and Stochastic Petri Nets with Concurrent Deterministic Transitions
    • vols
    • C. Lindemann and G.S. Shedler, "Numerical Analysis of Deterministic and Stochastic Petri Nets with Concurrent Deterministic Transitions," Performance Evaluation, vols. 27/28, pp. 565-582, 1996.
    • (1996) Performance Evaluation , vol.27-28 , pp. 565-582
    • Lindemann, C.1    Shedler, G.S.2
  • 25
    • 0033169506 scopus 로고    scopus 로고
    • Transient Analysis of Deterministic and Stochastic Petri Nets with Concurrent Deterministic Transitions
    • vols
    • C. Lindemann and A. Thuemmler, "Transient Analysis of Deterministic and Stochastic Petri Nets with Concurrent Deterministic Transitions," Performance Evaluation, vols. 36/37, pp. 35-54, 1999.
    • (1999) Performance Evaluation , vol.36-37 , pp. 35-54
    • Lindemann, C.1    Thuemmler, A.2
  • 27
    • 0036911479 scopus 로고    scopus 로고
    • Schedulability Analysis of Multiprocessor Real-Time Applications with Stochastic Task Execution Times
    • Nov
    • S. Manolache, P. Eles, and Z. Peng, "Schedulability Analysis of Multiprocessor Real-Time Applications with Stochastic Task Execution Times," Proc. 20th Int'l Conf. Computer Aided Design, pp. 699-706, Nov. 2002.
    • (2002) Proc. 20th Int'l Conf. Computer Aided Design , pp. 699-706
    • Manolache, S.1    Eles, P.2    Peng, Z.3
  • 28
    • 0017001923 scopus 로고
    • Recoverability of Communication Protocols
    • P. Merlin and D. Farber, "Recoverability of Communication Protocols," IEEE Trans. Comm., vol. 24, no. 9, 1976.
    • (1976) IEEE Trans. Comm , vol.24 , Issue.9
    • Merlin, P.1    Farber, D.2
  • 29
    • 0022045201 scopus 로고
    • Discrete Time Stochastic Petri Nets
    • Apr
    • M.K. Molloy, "Discrete Time Stochastic Petri Nets," IEEE Trans. Software Eng., vol. 11, no. 4, pp. 417-723, Apr. 1985.
    • (1985) IEEE Trans. Software Eng , vol.11 , Issue.4 , pp. 417-723
    • Molloy, M.K.1
  • 33
    • 47949114942 scopus 로고    scopus 로고
    • Close Form Derivation of State-Density Functions over DBM Domains in the Analysis of Non-Markovian Models
    • Sept
    • L. Sassoli and E. Vicario, "Close Form Derivation of State-Density Functions over DBM Domains in the Analysis of Non-Markovian Models," Proc. Fifth Int'l Conf. Quantum Evaluation of Systems, Sept. 2007.
    • (2007) Proc. Fifth Int'l Conf. Quantum Evaluation of Systems
    • Sassoli, L.1    Vicario, E.2
  • 34
    • 0026406596 scopus 로고
    • Multivariate Bernstein Polynomials and Convexity
    • T. Sauer, "Multivariate Bernstein Polynomials and Convexity," Computer Aided Geometric Design, vol. 8, no. 6, pp. 465-478, 1991.
    • (1991) Computer Aided Geometric Design , vol.8 , Issue.6 , pp. 465-478
    • Sauer, T.1
  • 35
    • 0343223959 scopus 로고    scopus 로고
    • Supplementary Variable Approach Applied to the Transient Analysis of Age-MRSPNs
    • M. Telek and A. Horvarth, "Supplementary Variable Approach Applied to the Transient Analysis of Age-MRSPNs," Proc. Int'l Performance and Dependability Symp., pp. 44-51, 1998.
    • (1998) Proc. Int'l Performance and Dependability Symp , pp. 44-51
    • Telek, M.1    Horvarth, A.2
  • 36
    • 0348156855 scopus 로고    scopus 로고
    • Well Defined Generalized Stochastic Petri Nets: A Net Level Method to Specify Priorities
    • Nov
    • E. Teruel, G. Franceschinis, and M. DePierro, "Well Defined Generalized Stochastic Petri Nets: A Net Level Method to Specify Priorities," IEEE Trans. Software Eng., vol. 29, no. 11 pp. 962-973, Nov. 2003.
    • (2003) IEEE Trans. Software Eng , vol.29 , Issue.11 , pp. 962-973
    • Teruel, E.1    Franceschinis, G.2    DePierro, M.3
  • 37
    • 0035418270 scopus 로고    scopus 로고
    • Static Analysis and Dynamic Steering of Time Dependent Systems Using Time Petri Nets
    • Aug
    • E. Vicario, "Static Analysis and Dynamic Steering of Time Dependent Systems Using Time Petri Nets," IEEE Trans. Software Eng., vol. 27, no. 8, pp. 728-748, Aug. 2001.
    • (2001) IEEE Trans. Software Eng , vol.27 , Issue.8 , pp. 728-748
    • Vicario, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.