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Volumn 50, Issue 1, 2005, Pages 109-130

Sojourn times in the M/PH/1 processor sharing queue

Author keywords

Asymptotic estimates; Phase type distribution; Processor sharing discipline; Sojourn time

Indexed keywords

APPROXIMATION ALGORITHMS; DIFFERENTIAL EQUATIONS; PH; QUEUEING THEORY;

EID: 21644435687     PISSN: 02570130     EISSN: 15729443     Source Type: Journal    
DOI: 10.1007/s11134-005-0372-1     Document Type: Article
Times cited : (10)

References (25)
  • 1
    • 0001936263 scopus 로고
    • Numerical inversion of Laplace transforms of probability distributions
    • J. Abate and W. Whitt, 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
  • 2
  • 6
    • 0038210215 scopus 로고    scopus 로고
    • The equivalence between processor sharing and service in random order
    • S.C. Borst, O.J. Boxma, J.A. Morrison and R. Núñez-Queija, The equivalence between processor sharing and service in random order, Oper. Res. Lett 31 (2003) 254-262.
    • (2003) Oper. Res. Lett , vol.31 , pp. 254-262
    • Borst, S.C.1    Boxma, O.J.2    Morrison, J.A.3    Núñez-Queija, R.4
  • 7
    • 0003232110 scopus 로고    scopus 로고
    • The nature of the beast: Recent traffic measurements from an Internet backbone
    • K. Claffy, G. Miller and K. Thompson, The nature of the beast: Recent traffic measurements from an Internet backbone, in: Internet Society INET'98, (1998).
    • (1998) Internet Society INET'98
    • Claffy, K.1    Miller, G.2    Thompson, K.3
  • 8
    • 0014706192 scopus 로고
    • Waiting time distributions for processor-sharing systems
    • E.G. Coffman, R.R. Muntz and H. Trotter, Waiting time distributions for processor-sharing systems, J. ACM 17 (1970) 123-130.
    • (1970) J. ACM , vol.17 , pp. 123-130
    • Coffman, E.G.1    Muntz, R.R.2    Trotter, H.3
  • 9
    • 0031287492 scopus 로고    scopus 로고
    • The waiting time distribution for the random order service M/ M/1 queue
    • L. Flatto, The waiting time distribution for the random order service M/ M/1 queue, Annals of Applied Probability 7 (1997) 382-409.
    • (1997) Annals of Applied Probability , vol.7 , pp. 382-409
    • Flatto, L.1
  • 10
    • 0035528311 scopus 로고    scopus 로고
    • Analysis of the M/M/1 queue with processor sharing via spectral theory
    • F. Guillemin and J. Boyer, Analysis of the M/M/1 queue with processor sharing via spectral theory, Queueing Systems 39 (2001) 377-397.
    • (2001) Queueing Systems , vol.39 , pp. 377-397
    • Guillemin, F.1    Boyer, J.2
  • 13
    • 21344477462 scopus 로고
    • The M/G/1 processor-sharing model: Transient behavior
    • M. Yu. Kitaev, The M/G/1 processor-sharing model: Transient behavior, Queueing Systems 14 (1993) 239-273.
    • (1993) Queueing Systems , vol.14 , pp. 239-273
    • Kitaev, M.Yu.1
  • 15
    • 0022012568 scopus 로고
    • Response time for a processor-sharing system
    • J. Morrison, Response time for a processor-sharing system, SIAM J. Appl. Math. 45(1) (1985) 152-167.
    • (1985) SIAM J. Appl. Math. , vol.45 , Issue.1 , pp. 152-167
    • Morrison, J.1
  • 17
    • 0021446722 scopus 로고
    • The sojourn-time distribution in the M/G/1 queue with processor sharing
    • T. Ott, The sojourn-time distribution in the M/G/1 queue with processor sharing, J. Appl. Prob. 21 (1984) 360-378.
    • (1984) J. Appl. Prob. , vol.21 , pp. 360-378
    • Ott, T.1
  • 18
    • 3543072923 scopus 로고
    • La loi d'attente des appels téléphoniques
    • F. Pollaczek, La loi d'attente des appels téléphoniques. C.R. Acad. Sci. 222 (1946) 353-355.
    • (1946) C.R. Acad. Sci. , vol.222 , pp. 353-355
    • Pollaczek, F.1
  • 19
  • 20
    • 84872996684 scopus 로고    scopus 로고
    • Bandwidth sharing and admission control for elastic traffic
    • J. Roberts and L. Massoulié, Bandwidth sharing and admission control for elastic traffic, in Proc. Infocom'99 (1998).
    • (1998) Proc. Infocom'99
    • Roberts, J.1    Massoulié, L.2
  • 21
    • 0018011346 scopus 로고
    • Average delay in queues with non-stationary Poisson arrivals
    • S.M. Ross, Average delay in queues with non-stationary Poisson arrivals, J. Appl. Probab. 15 (1978) 602-609.
    • (1978) J. Appl. Probab. , vol.15 , pp. 602-609
    • Ross, S.M.1
  • 22
    • 0034339472 scopus 로고    scopus 로고
    • Modeling and analysis of heavy-tailed distributions via classical teletraffic methods
    • D. Starobinski and M. Sidi, Modeling and analysis of heavy-tailed distributions via classical teletraffic methods, Queueing Systems 36(1-3) (2000) 243-267.
    • (2000) Queueing Systems , vol.36 , Issue.1-3 , pp. 243-267
    • Starobinski, D.1    Sidi, M.2
  • 23
    • 0000019414 scopus 로고
    • The M/G/l queue with processor sharing and its relation to a feedback queue
    • J.L. van den Derg and O.J. Boxma, The M/G/l queue with processor sharing and its relation to a feedback queue, Queueing Systems 9 (1991) 365-402.
    • (1991) Queueing Systems , vol.9 , pp. 365-402
    • Van Den Derg, J.L.1    Boxma, O.J.2
  • 24
    • 0001775785 scopus 로고
    • Processor sharing queues: Some progress in analysis
    • S.K Yashkov, Processor sharing queues: some progress in analysis, Queueing System 2 (1987) 1-17.
    • (1987) Queueing System , vol.2 , pp. 1-17
    • Yashkov, S.K.1
  • 25
    • 0034341928 scopus 로고    scopus 로고
    • Sojourn time asymptotics in the M/G/1 processor sharing queue
    • A.P. Zwart and O.J. Boxma, Sojourn time asymptotics in the M/G/1 processor sharing queue, Queueing Systems Theory Appl. 35(1-4) (2000) 141-166.
    • (2000) Queueing Systems Theory Appl. , vol.35 , Issue.1-4 , pp. 141-166
    • Zwart, A.P.1    Boxma, O.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.