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Volumn 37, Issue 3, 2000, Pages 795-806

Reduction techniques for discrete-time markov chains on totally ordered state space using stochastic comparisons

Author keywords

Exact and ordinary lumpability; Strong order; Transient analysis

Indexed keywords


EID: 0034337851     PISSN: 00219002     EISSN: None     Source Type: Journal    
DOI: 10.1239/jap/1014842837     Document Type: Article
Times cited : (16)

References (12)
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    • Buchholz, P.1
  • 2
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  • 3
    • 0001051264 scopus 로고
    • MonotonematricesandmonotoneMarkovprocesses.
    • Keilson, J. and Kester, A. (1977). Monotone matrices and monotone Markov processes. Stoch. Proc. Appl. 5, 231-241.
    • (1977) Stoch.Proc.Appl , vol.5 , pp. 231-241
    • Keilson, J.1    Kester, A.2
  • 4
    • 85037187240 scopus 로고
    • Kemeny, J. G. and Snell, J. L. (1960). Finite Markov Chains. Princeton University Press.
    • (1960)
    • Kemeny, J.G.1    Snell, J.L.2
  • 5
    • 0001447665 scopus 로고
    • StochasticorderingsforMarkovprocessesonpartiallyorderedspaces
    • Massey, W. A. (1987). Stochastic orderings for Markov processes on partially ordered spaces. Math. Operat. Res. 11, 350-367.
    • (1987) Math.Operat.Res , vol.11 , pp. 350-367
    • Massey, W.A.1
  • 6
    • 0032394801 scopus 로고    scopus 로고
    • Anaggregationtechniquetoevaluatetheperformanceofatwo-stagebufferedATMswitch
    • Moulki, M., Beylot, A. L., Truffet, L. and Becker, M. (1998). An aggregation technique to evaluate the performance of a two-stage buffered ATM switch. Ann. Operat. Res. 79, 373-392.
    • (1998) Ann.Operat.Res , vol.79 , pp. 373-392
    • Moulki, M.1    Beylot, A.L.2    Truffet, L.3    Becker, M.4
  • 7
    • 0021594295 scopus 로고
    • AggregationmethodsforlargeMarkovchains
    • Eds.G.Iazeolaetal.ElsevierNorth-Holland, Amsterdam
    • Schweitzer, P. (1984). Aggregation methods for large Markov chains. Math. Comp. Perf. and Reliab. Eds. G. Iazeola etal. Elsevier North-Holland, Amsterdam.
    • (1984) Math.Comp.Perf.Andreliab
    • Schweitzer, P.1
  • 10
    • 0001841393 scopus 로고    scopus 로고
    • GeometricalboundsonanoutputstreamofaqueueinATMswitch:Applicationtothedimensioningproblem
    • Ed.D.Kouvatsos.ChapmanandHall, London
    • Truffet, L. (1996). Geometrical bounds on an output stream of a queue in ATM switch: application to the dimensioning problem. ATM Networks: Performance Modelling and Analysis, Vol. II. Ed. D. Kouvatsos. Chapman and Hall, London.
    • (1996) Atmnetworks:Performancemodellingandanalysis , vol.2
    • Truffet, L.1
  • 11
    • 0031222571 scopus 로고    scopus 로고
    • Nearcompletedecomposability:Boundingtheerrorbystochasticcomparisonmethod
    • Truffet, L. (1997). Near complete decomposability: bounding the errorby stochastic comparison method. Adv. Appl. Prob. 29, 830-855.
    • (1997) Adv.Appl.Prob , vol.29 , pp. 830-855
    • Truffet, L.1
  • 12
    • 85037209581 scopus 로고    scopus 로고
    • Truffet, L. (1998). A family of bounds on the output stream of queues with iid batch arrival arising in ATM networks models. In Proc. 4th INFORMS Telecomm. Conf. Boca Raton.
    • (1998)
    • Truffet, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.