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Volumn 145, Issue 2, 1999, Pages 159-188

The state reduction and related algorithms and their applications to the study of Markov chains, graph theory, and the optimal stopping problem

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EID: 0033542959     PISSN: 00018708     EISSN: None     Source Type: Journal    
DOI: 10.1006/aima.1998.1813     Document Type: Article
Times cited : (29)

References (25)
  • 1
    • 0021787853 scopus 로고
    • A Markov partitioning algorithm for computing steady-state probabilities
    • Sheskin T. J. A Markov partitioning algorithm for computing steady-state probabilities. Oper. Res. 33:1985;228-535.
    • (1985) Oper. Res. , vol.33 , pp. 228-535
    • Sheskin, T.J.1
  • 2
    • 0022131573 scopus 로고
    • Regenerative analysis and steady-state distributions for Markov chains
    • Grassmann W. K., Taksar M. I., Heyman D. P. Regenerative analysis and steady-state distributions for Markov chains. Oper. Res. 33:1985;1107-1116.
    • (1985) Oper. Res. , vol.33 , pp. 1107-1116
    • Grassmann, W.K.1    Taksar, M.I.2    Heyman, D.P.3
  • 6
    • 0005540166 scopus 로고
    • Linear Algebra, Markov Chains, and Queueing models
    • C. D. Meyer, & R. J. Plemmons. New York: Springer-Verlag
    • Meyer C. D., Plemmons R. J. Linear Algebra, Markov Chains, and Queueing models. IMA Vol. Math. Appl. 48:1993;Springer-Verlag, New York.
    • (1993) IMA Vol. Math. Appl. , vol.48
  • 7
    • 21844515710 scopus 로고
    • Accurate computation of the fundamental matrix of a Markov chain
    • Heyman D. P. Accurate computation of the fundamental matrix of a Markov chain. SIAM J. Matrix Anal. Appl. 16:1995;954-963.
    • (1995) SIAM J. Matrix Anal. Appl. , vol.16 , pp. 954-963
    • Heyman, D.P.1
  • 8
    • 0022905781 scopus 로고
    • Numerical computation of mean passage times and absorption probabilities in Markov and semi-markov models
    • Kohlas J. Numerical computation of mean passage times and absorption probabilities in Markov and semi-markov models. Z. Operat. Res. 30:1986;A197-A207.
    • (1986) Z. Operat. Res. , vol.30
    • Kohlas, J.1
  • 9
    • 0023330870 scopus 로고
    • A stable algorithm to calculate steady-state probability and frequency of a Markov system
    • Kumar S., Grassmann W. K., Billinton R. A stable algorithm to calculate steady-state probability and frequency of a Markov system. IEEE Trans. Reliability. R36:1987;58-62.
    • (1987) IEEE Trans. Reliability , vol.36 , pp. 58-62
    • Kumar, S.1    Grassmann, W.K.2    Billinton, R.3
  • 10
    • 0000606687 scopus 로고
    • Further comparisons of direct methods for computing stationary distributions of Markov chains
    • Heyman D. P. Further comparisons of direct methods for computing stationary distributions of Markov chains. SIAM J. Algebraic Discrete Methods. 8:1987;226-232.
    • (1987) SIAM J. Algebraic Discrete Methods , vol.8 , pp. 226-232
    • Heyman, D.P.1
  • 11
    • 0002443046 scopus 로고
    • Numerical solution of linear equations arising in Markov chain models
    • Heyman D. P., Reeves A. Numerical solution of linear equations arising in Markov chain models. ORSA J. Comput. 1:1989;52-60.
    • (1989) ORSA J. Comput. , vol.1 , pp. 52-60
    • Heyman, D.P.1    Reeves, A.2
  • 12
    • 0001201358 scopus 로고
    • Reduced systems algorithms for Markov chains
    • Lal R., Bhat U. N. Reduced systems algorithms for Markov chains. Management Sci. 34:1988;1202-1220.
    • (1988) Management Sci. , vol.34 , pp. 1202-1220
    • Lal, R.1    Bhat, U.N.2
  • 13
    • 0000572102 scopus 로고
    • Equilibrium distribution of block-structured Markov chains with repeating rows
    • Grassmann W. K., Heyman D. P. Equilibrium distribution of block-structured Markov chains with repeating rows. J. Appl. Probab. 27:1990;557-576.
    • (1990) J. Appl. Probab. , vol.27 , pp. 557-576
    • Grassmann, W.K.1    Heyman, D.P.2
  • 14
    • 85034167028 scopus 로고
    • A direct algorithm for computing the stationary distribution of a p-cyclic Markov chain
    • New York: Springer-Verlag. p. 205-209
    • Heyman D. P. A direct algorithm for computing the stationary distribution of a p-cyclic Markov chain. Linear Algebra, Markov Chains, and Queueing Models. IMA Vol. Math. Appl. 48:1993;Springer-Verlag, New York. p. 205-209.
    • (1993) Linear Algebra, Markov Chains, and Queueing Models IMA Vol. Math. Appl. , vol.48
    • Heyman, D.P.1
  • 16
    • 21144460955 scopus 로고
    • Entrywise perturbation theory and error analysis for Markov chains
    • O'Cinneide C. A. Entrywise perturbation theory and error analysis for Markov chains. Numer. Math. 65:1993;109-120.
    • (1993) Numer. Math. , vol.65 , pp. 109-120
    • O'Cinneide, C.A.1
  • 18
    • 0000484181 scopus 로고
    • Computing the fundamental matrix for a reducible Markov chain
    • Sheskin T. J. Computing the fundamental matrix for a reducible Markov chain. Math. Mag. 68:1995;393-398.
    • (1995) Math. Mag. , vol.68 , pp. 393-398
    • Sheskin, T.J.1
  • 19
    • 0009032033 scopus 로고
    • Two Simple Theorems in the Problems of Optimal Stopping
    • Atlanta, GA
    • I. M. Sonin, Two simple theorems in the problems of optimal stopping, in, Proceedings, INFORMS Appl. Probab. Conf, Atlanta, GA, 1995.
    • (1995) Proceedings, INFORMS Appl. Probab. Conf
    • Sonin, I.M.1
  • 24
    • 0002740591 scopus 로고
    • Geometric bounds for eigenvalues of Markov chains
    • Diaconis P., Strook D. Geometric bounds for eigenvalues of Markov chains. Ann. of Appl. Probab. 1:1991;36-61.
    • (1991) Ann. of Appl. Probab. , vol.1 , pp. 36-61
    • Diaconis, P.1    Strook, D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.