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Volumn 25, Issue 1, 1999, Pages 25-31

Explicit M/G/1 waiting-time distributions for a class of long-tail service-time distributions

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; MATHEMATICAL TRANSFORMATIONS; NUMERICAL METHODS; PROBABILITY DENSITY FUNCTION; PROBABILITY DISTRIBUTIONS;

EID: 0032653992     PISSN: 01676377     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6377(99)00014-0     Document Type: Article
Times cited : (18)

References (15)
  • 1
    • 21344494520 scopus 로고
    • Waiting-time tail probabilities in queues with long-tail service-time distributions
    • Abate J., Choudhury G.L., Whitt W. Waiting-time tail probabilities in queues with long-tail service-time distributions. Queueing Systems. 16:1994;311-338.
    • (1994) Queueing Systems , vol.16 , pp. 311-338
    • Abate, J.1    Choudhury, G.L.2    Whitt, W.3
  • 2
    • 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 Systems. 10:1992;5-88.
    • (1992) Queueing Systems , vol.10 , pp. 5-88
    • Abate, J.1    Whitt, W.2
  • 3
    • 84973962386 scopus 로고
    • Limits and approximations for the busy-period distribution in single-server queues
    • Abate J., Whitt W. Limits and approximations for the busy-period distribution in single-server queues. Probab. Eng. Inform. Sci. 9:1995;581-602.
    • (1995) Probab. Eng. Inform. Sci. , vol.9 , pp. 581-602
    • Abate, J.1    Whitt, W.2
  • 4
    • 0002047384 scopus 로고    scopus 로고
    • An operational calculus for probability distributions via Laplace transforms
    • Abate J., Whitt W. An operational calculus for probability distributions via Laplace transforms. Adv. Appl. Probab. 28:1996;75-113.
    • (1996) Adv. Appl. Probab. , vol.28 , pp. 75-113
    • Abate, J.1    Whitt, W.2
  • 5
    • 0343982263 scopus 로고    scopus 로고
    • Modeling service-time distributions with non-exponential tails: beta mixtures of exponentials
    • in press
    • J. Abate, W. Whitt, Modeling service-time distributions with non-exponential tails: beta mixtures of exponentials, Stochastic Models 15 (1999) in press.
    • (1999) Stochastic Models , vol.15
    • Abate, J.1    Whitt, W.2
  • 7
    • 0032099217 scopus 로고    scopus 로고
    • The M/G/1 queue with heavy-tailed service-time distribution
    • O.J. Boxma, J.W. Cohen, The M/G/1 queue with heavy-tailed service-time distribution, IEEE J. Sel. Areas Commun. 16 (1998) 749-763.
    • (1998) IEEE J. Sel. Areas Commun. , vol.16 , pp. 749-763
    • Boxma, O.J.1    Cohen, J.W.2
  • 9
    • 0031701596 scopus 로고    scopus 로고
    • Fitting mixtures of exponentials to long-tail distributions to analyze network performance models
    • Feldmann A., Whitt W. Fitting mixtures of exponentials to long-tail distributions to analyze network performance models. Performance Evaluation. 31:1997;245-279.
    • (1997) Performance Evaluation , vol.31 , pp. 245-279
    • Feldmann, A.1    Whitt, W.2
  • 13
    • 84959655852 scopus 로고
    • On the distribution of queueing times
    • Smith W.L. On the distribution of queueing times. Proc. Cambridge Philos. Soc. 49:1953;449-461.
    • (1953) Proc. Cambridge Philos. Soc. , vol.49 , pp. 449-461
    • Smith, W.L.1
  • 15
    • 0001123521 scopus 로고
    • Asymptotic expansions for waiting time probabilities in an M/G/1 queue with long-tailed service time
    • Willekens J.E., Teugels J.L. Asymptotic expansions for waiting time probabilities in an M/G/1 queue with long-tailed service time. Queueing Systems. 10:1992;295-312.
    • (1992) Queueing Systems , vol.10 , pp. 295-312
    • Willekens, J.E.1    Teugels, J.L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.