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Volumn 54, Issue 2, 2000, Pages 221-236

The M/M/1 queue in a heavy-tailed random environment

Author keywords

M M 1 queue; Regular variation; Varying speed; Workload distribution

Indexed keywords


EID: 0034343354     PISSN: 00390402     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9574.00138     Document Type: Article
Times cited : (17)

References (25)
  • 1
    • 0033236508 scopus 로고    scopus 로고
    • On a reduced-load equivalence for fluid queues under subexponentiality
    • AGRAWAL, R. P., A. M. MAKOWSKI and PH. NAIN (1999), On a reduced-load equivalence for fluid queues under subexponentiality. Queueing Systems 33, 5-41.
    • (1999) Queueing Systems , vol.33 , pp. 5-41
    • Agrawal, R.P.1    Makowski, A.M.2    Nain, P.H.3
  • 3
    • 0002172044 scopus 로고    scopus 로고
    • Generalized processor sharing with long-tailed traffic sources
    • P. Key and D. Smith (eds.), Edinburgh, UK, (North-Holland, Amsterdam)
    • BORST, S. C., O. J. BOXMA and P. R. JELENKOVIĆ (1999), Generalized processor sharing with long-tailed traffic sources: in P. Key and D. Smith (eds.), Teletraffic Engineering in a Competitive World, Proceedings ITC-16, Edinburgh, UK, (North-Holland, Amsterdam), 345-354.
    • (1999) Teletraffic Engineering in a Competitive World, Proceedings ITC-16 , pp. 345-354
    • Borst, S.C.1    Boxma, O.J.2    Jelenković, P.R.3
  • 4
    • 0002219778 scopus 로고    scopus 로고
    • Coupled processors with regularly varying service times
    • Eindhoven University of Technology, to appear in: Proceedings of Infocom 2000
    • BORST, S. C., O. J. BOXMA and P. R. JELENKOVIĆ (1999), Coupled processors with regularly varying service times, Technical Report COSOR 99-11, Eindhoven University of Technology, to appear in: Proceedings of Infocom 2000.
    • (1999) Technical Report COSOR 99-11
    • Borst, S.C.1    Boxma, O.J.2    Jelenković, P.R.3
  • 6
    • 0033236513 scopus 로고    scopus 로고
    • Heavy-traffic analysis for the GI/G/1 queue with heavy-tailed distributions
    • BOXMA, O. J. and J. W. COHEN (1999), Heavy-traffic analysis for the GI/G/1 queue with heavy-tailed distributions, Queueing Systems 33, 177-204.
    • (1999) Queueing Systems , vol.33 , pp. 177-204
    • Boxma, O.J.1    Cohen, J.W.2
  • 7
    • 0004209622 scopus 로고    scopus 로고
    • Waiting-time asymptotics for the M/G/2 queue with heterogeneous servers
    • Eindhoven University of Technology
    • BOXMA, O. J., Q. DENG and A. P. ZWART (1999), Waiting-time asymptotics for the M/G/2 queue with heterogeneous servers, Technical Report COSOR 99-20, Eindhoven University of Technology.
    • (1999) Technical Report COSOR 99-20
    • Boxma, O.J.1    Deng, Q.2    Zwart, A.P.3
  • 8
    • 0002030938 scopus 로고    scopus 로고
    • The M/G/1 queue with two speeds
    • EURANDOM report 99-057, submitted to
    • BOXMA, O. J. and I. A. KURKOVA (1999), The M/G/1 queue with two speeds, EURANDOM report 99-057, submitted to Journal of Applied Probability.
    • (1999) Journal of Applied Probability
    • Boxma, O.J.1    Kurkova, I.A.2
  • 9
    • 0000433886 scopus 로고
    • Some results on regular variation for distributions in queueing and fluctuation theory
    • COHEN, J. W. (1973), Some results on regular variation for distributions in queueing and fluctuation theory, Journal of Applied Probability 10, 343-353.
    • (1973) Journal of Applied Probability , vol.10 , pp. 343-353
    • Cohen, J.W.1
  • 11
    • 0015433110 scopus 로고
    • Steady-state distribution for the buffer content of an M/G/1 queue with varying service rate
    • HALFIN, S. (1972), Steady-state distribution for the buffer content of an M/G/1 queue with varying service rate, SIAM Journal of Applied Mathematics 23, 356-363.
    • (1972) SIAM Journal of Applied Mathematics , vol.23 , pp. 356-363
    • Halfin, S.1
  • 13
    • 0031199990 scopus 로고    scopus 로고
    • The effect of multiple time scales and subexponentiality of MPEG video streams on queueing behavior
    • JELENKOVIĆ, P. R., A. A. LAZAR and N. SEMRET (1997), The effect of multiple time scales and subexponentiality of MPEG video streams on queueing behavior, IEEE Journal on Selected Areas in Communications 15, 1052-1071.
    • (1997) IEEE Journal on Selected Areas in Communications , vol.15 , pp. 1052-1071
    • Jelenković, P.R.1    Lazar, A.A.2    Semret, N.3
  • 14
    • 0033140686 scopus 로고    scopus 로고
    • Asymptotic results for multiplexing subexponential on-off processes
    • JELENKOVIĆ, P. R. and A. A. LAZAR (1999), Asymptotic results for multiplexing subexponential on-off processes, Advances in Applied Probability 31, 394-421.
    • (1999) Advances in Applied Probability , vol.31 , pp. 394-421
    • Jelenković, P.R.1    Lazar, A.A.2
  • 15
    • 0000002948 scopus 로고
    • A storage model with a two-state random environment
    • KELLA, O. and W. WHITT (1992), A storage model with a two-state random environment, Operations Research 40, S257-S262.
    • (1992) Operations Research , vol.40
    • Kella, O.1    Whitt, W.2
  • 17
    • 0031344707 scopus 로고    scopus 로고
    • Reliability analysis of M/G/1 queueing systems with server breakdowns and vacations
    • LI, W., D. SHI and X. CHAO (1997), Reliability analysis of M/G/1 queueing systems with server breakdowns and vacations, Journal of Applied Probability 34, 546-555.
    • (1997) Journal of Applied Probability , vol.34 , pp. 546-555
    • Li, W.1    Shi, D.2    Chao, X.3
  • 18
    • 0002370035 scopus 로고
    • A queue subject to extraneous phase changes
    • NEUTS, M. F. (1971), A queue subject to extraneous phase changes, Advances in Applied Probability 3, 78-119.
    • (1971) Advances in Applied Probability , vol.3 , pp. 78-119
    • Neuts, M.F.1
  • 19
    • 0002176155 scopus 로고    scopus 로고
    • Sojourn times in a processor-sharing queue with service interruptions
    • Amsterdam, accepted for publication in Queueing Systems
    • NÚÑEZ QUEIJA, R. (1998), Sojourn times in a processor-sharing queue with service interruptions, CWI Report PNA-R9807, Amsterdam, accepted for publication in Queueing Systems.
    • (1998) CWI Report PNA-R9807
    • Núñez Queija, R.1
  • 22
    • 84963060324 scopus 로고
    • The asymptotic expansion of a function whose operational equivalent is known
    • SUTTON, W. G. L. (1934), The asymptotic expansion of a function whose operational equivalent is known, Journal of the London Mathematical Society 9, 131-137.
    • (1934) Journal of the London Mathematical Society , vol.9 , pp. 131-137
    • Sutton, W.G.L.1
  • 23
    • 0031314563 scopus 로고    scopus 로고
    • A single server queue with service interruptions
    • TAKINE, T. and B. SENGUPTA (1997), A single server queue with service interruptions, Queueing Systems 26, 285-300.
    • (1997) Queueing Systems , vol.26 , pp. 285-300
    • Takine, T.1    Sengupta, B.2
  • 24
    • 0015065409 scopus 로고
    • Queueing problems with heterogeneous arrival and service
    • YECHIALI, U. and P. NAOR (1971), Queueing problems with heterogeneous arrival and service, Operations Research 19, 722-734.
    • (1971) Operations Research , vol.19 , pp. 722-734
    • Yechiali, U.1    Naor, P.2
  • 25
    • 0000154319 scopus 로고
    • A queueing-type birth-and-death process defined on a continuous-time Markov chain
    • YECHIALI, U. (1973), A queueing-type birth-and-death process defined on a continuous-time Markov chain, Operations Research 21, 604-609.
    • (1973) Operations Research , vol.21 , pp. 604-609
    • Yechiali, U.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.