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Volumn 87, Issue 1, 2000, Pages 35-57

Circulant preconditioners for stochastic automata networks

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EID: 0034555669     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002110000173     Document Type: Article
Times cited : (21)

References (40)
  • 4
    • 0008441139 scopus 로고
    • Numerical methods in Markov chain modeling
    • P. Berlard, Y. Saad and W. Stewart, Numerical Methods in Markov Chain Modeling. Operat. Res., 40 (1992), pp. 1156-1179
    • (1992) Operat. Res. , vol.40 , pp. 1156-1179
    • Berlard, P.1    Saad, Y.2    Stewart, W.3
  • 5
    • 21344495526 scopus 로고
    • A class of hierarchical Queueing networks and their analysis
    • P. Buchholz, A Class of Hierarchical Queueing Networks and Their Analysis. Queueing Systems, 15 (1994), pp. 59-80
    • (1994) Queueing Systems , vol.15 , pp. 59-80
    • Buchholz, P.1
  • 6
    • 0029244710 scopus 로고
    • Hierarchical Markovian models: Symmetries and aggregation
    • P. Buchholz, Hierarchical Markovian Models: Symmetries and Aggregation. Performance Evaluation, 22 (1995), pp. 93-110
    • (1995) Performance Evaluation , vol.22 , pp. 93-110
    • Buchholz, P.1
  • 9
    • 0000592564 scopus 로고
    • Iterative methods for overflow Queueing models I
    • R. Chan, Iterative Methods for Overflow Queueing Models I. Numer. Math., 51 (1987), pp. 143-180
    • (1987) Numer. Math. , vol.51 , pp. 143-180
    • Chan, R.1
  • 10
    • 0008443783 scopus 로고
    • Iterative methods for overflow Queueing models II
    • R. Chan, Iterative Methods for Overflow Queueing Models II. Numer. Math., 54 (1988), pp. 57-78
    • (1988) Numer. Math. , vol.54 , pp. 57-78
    • Chan, R.1
  • 11
    • 0039219168 scopus 로고
    • Iterative methods for queueing networks with irregular state-spaces
    • Minneapolis, January 13-17, Eds: C. Meyer and R. Plemmons, Springer-Verlag
    • R. Chan, Iterative Methods for Queueing Networks with Irregular State-Spaces. Proceedings to the IMA Workshop on Linear Algebra, Markov Chains and Queueing Models, Minneapolis, January 13-17, 1992, pp. 89-110, Eds: C. Meyer and R. Plemmons, Springer-Verlag, 1993
    • (1992) Proceedings to the IMA Workshop on Linear Algebra, Markov Chains and Queueing Models , pp. 89-110
    • Chan, R.1
  • 12
    • 0001591858 scopus 로고    scopus 로고
    • Toeplitz-circulant preconditioners for toeplitz systems and their applications to Queueing networks with batch arrivals
    • R. Chan and W. Ching, Toeplitz-circulant Preconditioners for Toeplitz Systems and Their Applications to Queueing Networks with Batch Arrivals. SIAM J. Sci. Comput., 17 (1996), pp. 762-772
    • (1996) SIAM J. Sci. Comput. , vol.17 , pp. 762-772
    • Chan, R.1    Ching, W.2
  • 13
    • 0030246195 scopus 로고    scopus 로고
    • Conjugate gradient methods for toeplitz systems
    • R. Chan and K. Ng, Conjugate Gradient Methods for Toeplitz Systems. SIAM Review. 38 (1996), pp. 427-482
    • (1996) SIAM Review , vol.38 , pp. 427-482
    • Chan, R.1    Ng, K.2
  • 14
    • 0003294899 scopus 로고    scopus 로고
    • Optimal trigonometric preconditioners for elliptic problems and Queueing problems
    • R. Chan, C. Wong and W. Ching Optimal Trigonometric Preconditioners for Elliptic Problems and Queueing Problems. SEA Bull. Math., 3 (1996), pp. 117-124
    • (1996) SEA Bull. Math. , vol.3 , pp. 117-124
    • Chan, R.1    Wong, C.2    Ching, W.3
  • 15
    • 0039768884 scopus 로고    scopus 로고
    • Circulant preconditioners for Markov modulated poisson processes and their applications to manufacturing systems
    • W. Ching, R. Chan and X. Zhou, Circulant Preconditioners for Markov Modulated Poisson Processes and Their Applications to Manufacturing Systems. SIAM J. Matrix Anal. Appl., 17 (1997), pp. 452-467
    • (1997) SIAM J. Matrix Anal. Appl. , vol.17 , pp. 452-467
    • Ching, W.1    Chan, R.2    Zhou, X.3
  • 16
    • 0039554507 scopus 로고    scopus 로고
    • Matrix methods for production planning in failure prone manufacturing systems
    • Springer-Verlag
    • W. Ching and X. Zhou, Matrix Methods for Production Planning in Failure Prone Manufacturing Systems. Lecture Notes in Control and Information Sciences, Springer-Verlag, 1996, pp. 3-30
    • (1996) Lecture Notes in Control and Information Sciences , pp. 3-30
    • Ching, W.1    Zhou, X.2
  • 20
    • 21944446582 scopus 로고    scopus 로고
    • Circulant preconditioners for failure prone manufacturing systems
    • W. Ching, Circulant Preconditioners for Failure Prone Manufacturing Systems. Lin. Alg. Appl., 266 (1997), pp. 161-180
    • (1997) Lin. Alg. Appl. , vol.266 , pp. 161-180
    • Ching, W.1
  • 21
    • 0031275243 scopus 로고    scopus 로고
    • Markov modulated poisson processes for multi-location inventory problems
    • W. Ching, Markov Modulated Poisson Processes for Multi-location Inventory Problems. Inter. J. Prod. Econ., 53 (1997), pp. 232-239
    • (1997) Inter. J. Prod. Econ. , vol.53 , pp. 232-239
    • Ching, W.1
  • 22
    • 0002042338 scopus 로고    scopus 로고
    • Iterative methods for manufacturing systems of two stations in tandem
    • W. Ching, Iterative Methods for Manufacturing Systems of Two Stations in Tandem. Inter. J. Appl. Math. Letters, 11 (1998), pp. 7-12
    • (1998) Inter. J. Appl. Math. Letters , vol.11 , pp. 7-12
    • Ching, W.1
  • 23
    • 0040403605 scopus 로고    scopus 로고
    • Markov modulated poisson processes and production planning in manufacturing systems
    • To Appear Auckland, New Zealand
    • W. Ching, Markov Modulated Poisson Processes and Production Planning in Manufacturing Systems. To Appear in the WMC'97 International Symposium on Manufacturing Systems, Auckland, New Zealand, 1997
    • (1997) WMC'97 International Symposium on Manufacturing Systems
    • Ching, W.1
  • 24
    • 0040403606 scopus 로고    scopus 로고
    • Optimal (S,s) policies for manufacturing systems of unreliable machines in tandem
    • Anaheim, U.S.A., January
    • W. Ching, Optimal (S,s) Policies for Manufacturing Systems of Unreliable Machines in Tandem. International Symposium on Product Quality and Integrity, Anaheim, U.S.A., January, 1998
    • (1998) International Symposium on Product Quality and Integrity
    • Ching, W.1
  • 25
    • 0001249888 scopus 로고
    • Block preconditioning for conjugate gradient method
    • P. Concus, G. Golub and G. Meurant, Block Preconditioning for Conjugate Gradient Method. SIAM J. Statist. Comput., 6 (1985), pp. 220-252
    • (1985) SIAM J. Statist. Comput. , vol.6 , pp. 220-252
    • Concus, P.1    Golub, G.2    Meurant, G.3
  • 26
    • 0022888917 scopus 로고
    • On computing INV block preconditionings for conjugate gradient method
    • P. Concus and G. Meurant, On Computing INV Block Preconditionings for Conjugate Gradient Method. BIT, 26 (1986), pp. 493-504
    • (1986) BIT , vol.26 , pp. 493-504
    • Concus, P.1    Meurant, G.2
  • 27
    • 0004175163 scopus 로고
    • John Wiley and Sons, New York
    • P. Davis, Circulant Matrices. John Wiley and Sons, New York, 1979
    • (1979) Circulant Matrices
    • Davis, P.1
  • 29
    • 0022776078 scopus 로고
    • A Markov modulated characterization of packetized voice and data traffic and related statistical multiplexer performance
    • H. Heffes and D. Lucantoni, A Markov Modulated Characterization of Packetized Voice and Data Traffic and Related Statistical Multiplexer Performance. IEEE J. Select. Areas Commun., SAC-4 (1986), pp. 856-868
    • (1986) IEEE J. Select. Areas Commun. , vol.SAC-4 , pp. 856-868
    • Heffes, H.1    Lucantoni, D.2
  • 30
    • 0000126599 scopus 로고
    • Matrix methods for queueing problems
    • L. Kaufman, Matrix Methods for Queueing Problems. SIAM J. Sci. Statist. Comput., 4 (1982), pp. 525-552
    • (1982) SIAM J. Sci. Statist. Comput. , vol.4 , pp. 525-552
    • Kaufman, L.1
  • 31
    • 84966241510 scopus 로고
    • An incomplete factorization techniques for positive definite linear systems
    • T. Manteuffel, An Incomplete Factorization Techniques for Positive Definite Linear Systems. Math. Comp., 34 (1980), pp. 473-497
    • (1980) Math. Comp. , vol.34 , pp. 473-497
    • Manteuffel, T.1
  • 32
    • 0024645430 scopus 로고
    • The analysis of a Queue arising in overflow models
    • K. Meier-Hellstern, The Analysis of a Queue Arising in Overflow Models. IEEE Trans. Commun., 37 (1989), pp. 367-372
    • (1989) IEEE Trans. Commun. , vol.37 , pp. 367-372
    • Meier-Hellstern, K.1
  • 33
    • 0025490766 scopus 로고
    • Optimal incentive-compatible priority pricing for the M/M/1 Queue
    • H. Mendelson and S. Whang, Optimal Incentive-Compatible Priority Pricing for the M/M/1 Queue. Operat. Res., 38 (1990), pp. 870-883
    • (1990) Operat. Res. , vol.38 , pp. 870-883
    • Mendelson, H.1    Whang, S.2
  • 34
    • 0008495241 scopus 로고
    • Stochastic automata network for modelling parallel systems
    • B. Plateau and K. Atif, Stochastic Automata Network for Modelling Parallel Systems. IEEE Tran. Software Engineering, 12 (1991), pp. 370-389
    • (1991) IEEE Tran. Software Engineering , vol.12 , pp. 370-389
    • Plateau, B.1    Atif, K.2
  • 36
    • 0024064120 scopus 로고
    • Approximations for the time spent in a dynamic job shop with applications to due date assignment
    • P. Shanthikumar, S. Datar and R. Akella, Approximations for the time spent in a dynamic job shop with applications to due date assignment. Inter. J. Prod. Res., 26 (1988), pp. 1329-1352
    • (1988) Inter. J. Prod. Res. , vol.26 , pp. 1329-1352
    • Shanthikumar, P.1    Datar, S.2    Akella, R.3
  • 37
    • 0000392810 scopus 로고
    • The numerical solution of stochastic automata networks
    • W. Stewart, K. Atif and B. Plateau, The Numerical Solution of Stochastic Automata Networks. Euro. J. Operat. Res., 86 (1995), 503-525
    • (1995) Euro. J. Operat. Res. , vol.86 , pp. 503-525
    • Stewart, W.1    Atif, K.2    Plateau, B.3
  • 38
    • 0039219172 scopus 로고
    • Overlapping multicolor MILU preconditioning
    • W. Takumi and K. Hayami, Overlapping Multicolor MILU preconditioning. SIAM J. Sci. Comput., 16 (1995), pp. 636-650
    • (1995) SIAM J. Sci. Comput. , vol.16 , pp. 636-650
    • Takumi, W.1    Hayami, K.2
  • 40
    • 0026923612 scopus 로고
    • Performance analysis of leaky-bucket bandwidth enforcement strategy for bursty traffics in an ATM network
    • H. Young, B. Byung and K. Chong, Performance Analysis of Leaky-bucket Bandwidth Enforcement Strategy for Bursty Traffics in an ATM Network. Comput. Net. ISDN Syst., 25 (1992), pp. 295-303
    • (1992) Comput. Net. ISDN Syst. , vol.25 , pp. 295-303
    • Young, H.1    Byung, B.2    Chong, K.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.