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Volumn 386, Issue 1-3 SUPPL., 2004, Pages 311-334

Hypergraph-based parallel computation of passage time densities in large semi-Markov models

Author keywords

Hypergraph partitioning; Passage time densities; Semi Markov chains

Indexed keywords

ALGORITHMS; COMPUTATION THEORY; COMPUTATIONAL COMPLEXITY; CONVERGENCE OF NUMERICAL METHODS; ITERATIVE METHODS; MARKOV PROCESSES; MATHEMATICAL MODELS;

EID: 2942627865     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2003.12.018     Document Type: Conference Paper
Times cited : (14)

References (24)
  • 1
    • 0000936303 scopus 로고
    • Markov renewal processes: Definitions and preliminary properties
    • Pyke R. Markov renewal processes: definitions and preliminary properties. Ann. Math. Statist. 32(December):1961;1231-1242.
    • (1961) Ann. Math. Statist. , vol.32 , Issue.DECEMBER , pp. 1231-1242
    • Pyke, R.1
  • 3
    • 0036041426 scopus 로고    scopus 로고
    • Passage-time distributions in large Markov chains
    • M. Martonosi, E. de Souza Silva (Eds.), Marina Del Rey, USA, June
    • P.G. Harrison, W.J. Knottenbelt, Passage-time distributions in large Markov chains, in: M. Martonosi, E. de Souza Silva (Eds.), Proceedings of ACM SIGMETRICS S002, Marina Del Rey, USA, June 2002, pp. 77-85.
    • (2002) Proceedings of ACM SIGMETRICS S002 , pp. 77-85
    • Harrison, P.G.1    Knottenbelt, W.J.2
  • 4
    • 84957808510 scopus 로고    scopus 로고
    • Faster and symbolic CTMC model checking
    • L. de Alfaro, & S. Gilmore. PAPM-PROBMIV 2001, Proceedings of Process Algebra and Probabilistic Methods, Aachen: Springer-Verlag
    • Katoen J.-P., Kwiatkowska M., Norman G., Parker D. Faster and symbolic CTMC model checking. de Alfaro L., Gilmore S. PAPM-PROBMIV 2001, Proceedings of Process Algebra and Probabilistic Methods. Lecture Notes in Computer Science. vol. 2165:2001;23-38 Springer-Verlag, Aachen.
    • (2001) Lecture Notes in Computer Science , vol.2165 , pp. 23-38
    • Katoen, J.-P.1    Kwiatkowska, M.2    Norman, G.3    Parker, D.4
  • 5
    • 2942571698 scopus 로고    scopus 로고
    • A matrix-based method for analysing stochastic process algebras
    • J.D.P. Rolim, Process Algebra and Performance Modelling. Workshop, University of Waterloo, Ont., Canada Geneva: Carleton Scientific
    • Bradley J.T., Davies N.J. A matrix-based method for analysing stochastic process algebras. Rolim J.D.P. ICALP Workshops 2000, Process Algebra and Performance Modelling Workshop, University of Waterloo, Ont., Canada. 2000;579-590 Carleton Scientific, Geneva.
    • (2000) ICALP Workshops 2000 , pp. 579-590
    • Bradley, J.T.1    Davies, N.J.2
  • 7
    • 84957800656 scopus 로고    scopus 로고
    • Beyond memoryless distributions: Model checking semi-Markov chains
    • L. de Alfaro, & S. Gilmore. PAPM-PROBMIV 2001, Proceedings of Process Algebra and Probabilistic Methods, Aachen: Springer-Verlag
    • Infante López G.G., Hermanns H., Katoen J.-P. Beyond memoryless distributions: model checking semi-Markov chains. de Alfaro L., Gilmore S. PAPM-PROBMIV 2001, Proceedings of Process Algebra and Probabilistic Methods. Lecture Notes in Computer Science. vol. 2165:2001;57-70 Springer-Verlag, Aachen.
    • (2001) Lecture Notes in Computer Science , vol.2165 , pp. 57-70
    • Infante López, G.G.1    Hermanns, H.2    Katoen, J.-P.3
  • 9
    • 0002652166 scopus 로고    scopus 로고
    • On the Laguerre method for numerically inverting Laplace transforms
    • Abate J., Choudhury G.L., Whitt W. On the Laguerre method for numerically inverting Laplace transforms. INFORMS J. Comput. 8(4):1996;413-427.
    • (1996) INFORMS J. Comput. , vol.8 , Issue.4 , pp. 413-427
    • Abate, J.1    Choudhury, G.L.2    Whitt, W.3
  • 10
    • 27544447048 scopus 로고
    • The Fourier-series method for inverting transforms of probability distributions
    • Abate J., Whitt W. The Fourier-series method for inverting transforms of probability distributions. Queueing Syst. 10(1):1992;5-88.
    • (1992) Queueing Syst. , vol.10 , Issue.1 , pp. 5-88
    • Abate, J.1    Whitt, W.2
  • 11
    • 0033360524 scopus 로고    scopus 로고
    • Hypergraph-partitioning-based decomposition for parallel sparse-matrix vector multiplication
    • Catalyürek U.V., Aykanat C. Hypergraph-partitioning-based decomposition for parallel sparse-matrix vector multiplication. IEEE Trans. Parallel Distrib. Syst. 10(July):1999;673-693.
    • (1999) IEEE Trans. Parallel Distrib. Syst. , vol.10 , Issue.JULY , pp. 673-693
    • Catalyürek, U.V.1    Aykanat, C.2
  • 13
    • 0021468768 scopus 로고
    • Randomization procedures in the computation of cumulative-time distributions over discrete state Markov processes
    • Melamed B., Yadin M. Randomization procedures in the computation of cumulative-time distributions over discrete state Markov processes. Oper. Res. 32(July-August):1984;926-944.
    • (1984) Oper. Res. , vol.32 , Issue.JULY-AUGUST , pp. 926-944
    • Melamed, B.1    Yadin, M.2
  • 14
    • 0043049090 scopus 로고
    • Numerical transient analysis of finite Markovian queueing systems
    • U.N. Bhat, & I.V. Basawa. Oxford University Press
    • Muppala J.K., Trivedi K.S. Numerical transient analysis of finite Markovian queueing systems. Bhat U.N., Basawa I.V. Queueing and Related Models. 1992;262-284 Oxford University Press.
    • (1992) Queueing and Related Models , pp. 262-284
    • Muppala, J.K.1    Trivedi, K.S.2
  • 15
    • 2942552713 scopus 로고    scopus 로고
    • Convergence and correctness of an iterative scheme for calculating passage times in semi-Markov processes
    • Department of Applied Maths, University of Leeds, Woodhouse Lane, Leeds, LS2 9JT, UK, February
    • H.J. Wilson, Convergence and correctness of an iterative scheme for calculating passage times in semi-Markov processes, Tech. Rep., 2004/1, Department of Applied Maths, University of Leeds, Woodhouse Lane, Leeds, LS2 9JT, UK, February, 2004, http://www.doc.ic.ac.uk/~jb/reports/abstract.html#2004- wilson-0.
    • (2004) Tech. Rep. , vol.2004 , Issue.1
    • Wilson, H.J.1
  • 16
    • 0001936263 scopus 로고
    • Numerical inversion of Laplace transforms of probability distributions
    • Abate J., Whitt W. Numerical inversion of Laplace transforms of probability distributions. ORSA J. Comput. 7(1):1995;36-43.
    • (1995) ORSA J. Comput. , vol.7 , Issue.1 , pp. 36-43
    • Abate, J.1    Whitt, W.2
  • 17
    • 0003561908 scopus 로고    scopus 로고
    • Multilevel k -way hypergraph partitioning
    • University of Minnesota
    • G. Karypis, V. Kumar, Multilevel k -way hypergraph partitioning, Tech. Rep. #98-036, University of Minnesota, 1998.
    • (1998) Tech. Rep. #98-036 , vol.98 , Issue.36
    • Karypis, G.1    Kumar, V.2
  • 20
    • 0034139994 scopus 로고    scopus 로고
    • A probabilistic dynamic technique for the distributed generation of very large state spaces
    • Knottenbelt W.J., Harrison P.G., Mestern M.S., Kritzinger P.S. A probabilistic dynamic technique for the distributed generation of very large state spaces. Perform. Eval. 39(February):2000;127-148.
    • (2000) Perform. Eval. , vol.39 , Issue.FEBRUARY , pp. 127-148
    • Knottenbelt, W.J.1    Harrison, P.G.2    Mestern, M.S.3    Kritzinger, P.S.4
  • 21
    • 84957371293 scopus 로고    scopus 로고
    • An efficient disk-based tool for solving very large Markov models
    • TOOLS 1997, Computer Performance Evaluation: Modelling Techniques and Tools, St. Malo: Springer-Verlag
    • Deavours D.D., Sanders W.H. An efficient disk-based tool for solving very large Markov models. in: TOOLS 1997, Computer Performance Evaluation: Modelling Techniques and Tools. Lecture Notes in Computer Science. vol. 1245:1997;58-71 Springer-Verlag, St. Malo.
    • (1997) Lecture Notes in Computer Science , vol.1245 , pp. 58-71
    • Deavours, D.D.1    Sanders, W.H.2
  • 24
    • 78649526846 scopus 로고    scopus 로고
    • Performance queries on semi-Markov stochastic Petri nets with an extended Continuous Stochastic Logic
    • G. Ciardo, & W. Sanders. University of Illinois at Urbana-Champaign, IEEE Computer Society
    • Bradley J.T., Dingle N.J., Knottenbelt W.J., Harrison P.G. Performance queries on semi-Markov stochastic Petri nets with an extended Continuous Stochastic Logic. Ciardo G., Sanders W. PNPM'03, Proceedings of Petri Nets and Performance Models, University of Illinois at Urbana-Champaign. 2003;62-71 IEEE Computer Society.
    • (2003) PNPM'03, Proceedings of Petri Nets and Performance Models , pp. 62-71
    • Bradley, J.T.1    Dingle, N.J.2    Knottenbelt, W.J.3    Harrison, P.G.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.