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Volumn 113, Issue 1-4, 2002, Pages 101-117

Queues with equally heavy sojourn time and service requirement distributions

Author keywords

(Intermediate) regular variation; Foreground background processor sharing; Processor sharing; Queues with heavy tails; Shortest remaining processing time; Telecommunications

Indexed keywords


EID: 0141794201     PISSN: 02545330     EISSN: 15729338     Source Type: Journal    
DOI: 10.1023/A:1020905810996     Document Type: Conference Paper
Times cited : (32)

References (27)
  • 1
    • 84873014221 scopus 로고    scopus 로고
    • Scheduling strategies and long-range dependence
    • University of California, Berkeley, CA
    • V. Anantharam, Scheduling strategies and long-range dependence, Technical Report, University of California, Berkeley, CA (1997).
    • (1997) Technical Report
    • Anantharam, V.1
  • 3
    • 0034833424 scopus 로고    scopus 로고
    • Analysis of SRPT scheduling: Investigating unfairness
    • N. Bansal and M. Harchol-Balter, Analysis of SRPT scheduling: investigating unfairness, Performance Evaluation Review 29 (2001) 279-290.
    • (2001) Performance Evaluation Review , vol.29 , pp. 279-290
    • Bansal, N.1    Harchol-Balter, M.2
  • 5
    • 84873003340 scopus 로고    scopus 로고
    • The equivalence between processor sharing and service in random order
    • Eindhoven University of Technology
    • S.C. Borst, O.J. Boxma, J.A. Morrison and R. Núñez-Queija, The equivalence between processor sharing and service in random order, SPOR Report 2002-01, Eindhoven University of Technology (2002).
    • (2002) SPOR Report 2002-01
    • Borst, S.C.1    Boxma, O.J.2    Morrison, J.A.3    Núñez-Queija, R.4
  • 7
    • 0000433886 scopus 로고
    • Some results on regular variation in queueing and fluctuation theory
    • J.W. Cohen, Some results on regular variation in queueing and fluctuation theory, Journal of Applied Probability 10 (1973) 343-353.
    • (1973) Journal of Applied Probability , vol.10 , pp. 343-353
    • Cohen, J.W.1
  • 9
    • 0002305221 scopus 로고
    • Crump-Mode-Jagers branching processes as a method of investigating M/G/1 systems with processor sharing
    • S.A. Grishechkin, Crump-Mode-Jagers branching processes as a method of investigating M/G/1 systems with processor sharing, Theory of Probability and Its Applications 36 (1991) 19-35; translated from Teoriya Veroyatnostei i ee Primeneniya 36 (1991) 16-33 (in Russian).
    • (1991) Theory of Probability and Its Applications , vol.36 , pp. 19-35
    • Grishechkin, S.A.1
  • 10
    • 0141779814 scopus 로고
    • translated from (in Russian)
    • S.A. Grishechkin, Crump-Mode-Jagers branching processes as a method of investigating M/G/1 systems with processor sharing, Theory of Probability and Its Applications 36 (1991) 19-35; translated from Teoriya Veroyatnostei i ee Primeneniya 36 (1991) 16-33 (in Russian).
    • (1991) Teoriya Veroyatnostei i ee Primeneniya , vol.36 , pp. 16-33
  • 11
    • 0000901955 scopus 로고
    • On a relationship between processor sharing queues and Crump-Mode-Jagers branching processes
    • S.A. Grishechkin, On a relationship between processor sharing queues and Crump-Mode-Jagers branching processes, Advances in Applied Probability 24 (1992) 653-698.
    • (1992) Advances in Applied Probability , vol.24 , pp. 653-698
    • Grishechkin, S.A.1
  • 13
    • 0036343467 scopus 로고    scopus 로고
    • Resource sharing with subexponential distributions
    • New York
    • P. Jelenković and P. Momcilović, Resource sharing with subexponential distributions, in: Proc. IEEE INFOCOM, New York (2002).
    • (2002) Proc. IEEE INFOCOM
    • Jelenković, P.1    Momcilović, P.2
  • 16
    • 0002791139 scopus 로고    scopus 로고
    • Arguments in favour of admission control for TCP flows
    • Edinburgh, eds. D. Smith and P. Key (Elsevier, Amsterdam)
    • L. Massoulié and J.W. Roberts, Arguments in favour of admission control for TCP flows, in: Teletraffic Engineering in a Competitive World, Proc. ITC 16, Edinburgh, eds. D. Smith and P. Key (Elsevier, Amsterdam, 1999) pp. 33-44.
    • (1999) Teletraffic Engineering in a Competitive World, Proc. ITC 16 , pp. 33-44
    • Massoulié, L.1    Roberts, J.W.2
  • 17
    • 0034343625 scopus 로고    scopus 로고
    • Sojourn times in a processor-sharing queue with service interruptions
    • R. Núñez-Queija, Sojourn times in a processor-sharing queue with service interruptions, Queueing Systems 34 (2000) 351-386.
    • (2000) Queueing Systems , vol.34 , pp. 351-386
    • Núñez-Queija, R.1
  • 18
    • 0010055519 scopus 로고    scopus 로고
    • Ph.D. thesis, Eindhoven University of Technology, ISBN 90-646-4667-8 (also available from the author upon request)
    • R. Núñez-Queija, Processor-sharing models for integrated-services networks, Ph.D. thesis, Eindhoven University of Technology (2000), ISBN 90-646-4667-8 (also available from the author upon request).
    • (2000) Processor-sharing Models for Integrated-services Networks
    • Núñez-Queija, R.1
  • 19
    • 21844500466 scopus 로고
    • A decomposition theorem and related results for the discriminatory processor sharing queue
    • K.M. Rege and B. Sengupta, A decomposition theorem and related results for the discriminatory processor sharing queue, Queueing Systems 18 (1994) 333-351.
    • (1994) Queueing Systems , vol.18 , pp. 333-351
    • Rege, K.M.1    Sengupta, B.2
  • 21
    • 0012782879 scopus 로고
    • An analysis of the M/G/1 queue under round-robin scheduling
    • M. Sakata, S. Noguchi and J. Oizumi, An analysis of the M/G/1 queue under round-robin scheduling, Operations Research 19 (1971) 371-385.
    • (1971) Operations Research , vol.19 , pp. 371-385
    • Sakata, M.1    Noguchi, S.2    Oizumi, J.3
  • 22
    • 0001230771 scopus 로고
    • The queue M/G/1 with the shortest remaining processing time discipline
    • L.E. Schrage and L.W. Miller, The queue M/G/1 with the shortest remaining processing time discipline, Operations Research 14 (1966) 670-684.
    • (1966) Operations Research , vol.14 , pp. 670-684
    • Schrage, L.E.1    Miller, L.W.2
  • 24
    • 0000705288 scopus 로고
    • A derivation of response time distribution for a M/G/1 processor-sharing queue
    • S.F. Yashkov, A derivation of response time distribution for a M/G/1 processor-sharing queue, Problems of Control and Information Theory 12 (1983) 133-148.
    • (1983) Problems of Control and Information Theory , vol.12 , pp. 133-148
    • Yashkov, S.F.1
  • 25
    • 0001775785 scopus 로고
    • Processor-sharing queues: Some progress in analysis
    • S.F. Yashkov, Processor-sharing queues: Some progress in analysis, Queueing Systems 2 (1987) 1-17.
    • (1987) Queueing Systems , vol.2 , pp. 1-17
    • Yashkov, S.F.1
  • 26
    • 34249840709 scopus 로고
    • Mathematical problems in the theory of processor-sharing queueing systems
    • S.F. Yashkov, Mathematical problems in the theory of processor-sharing queueing systems, Journal of Soviet Mathematics 58 (1992) 101-147.
    • (1992) Journal of Soviet Mathematics , vol.58 , pp. 101-147
    • Yashkov, S.F.1
  • 27
    • 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 35 (2000) 141-166.
    • (2000) Queueing Systems , vol.35 , pp. 141-166
    • Zwart, A.P.1    Boxma, O.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.