메뉴 건너뛰기




Volumn 62, Issue 1-4, 2005, Pages 456-474

Systems with multiple servers under heavy-tailed workloads

Author keywords

Blocking probability; Expected delay; Heavy tailed size distribution; M G K queue; Multi server computer systems; Practical approximation formula

Indexed keywords

APPROXIMATION THEORY; COMMUNICATION SYSTEMS; DISTRIBUTED COMPUTER SYSTEMS; PROBABILITY; REAL TIME SYSTEMS; RESPONSE TIME (COMPUTER SYSTEMS); SCHEDULING; SERVERS; SUPERCOMPUTERS; WEBSITES;

EID: 24144501279     PISSN: 01665316     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.peva.2005.07.030     Document Type: Conference Paper
Times cited : (44)

References (39)
  • 2
    • 0031199613 scopus 로고    scopus 로고
    • Exploiting process lifetime distributions for dynamic load balancing
    • M. Harchol-Balter, A. Downey, Exploiting process lifetime distributions for dynamic load balancing, ACM Trans. Comput. Syst. 15 (3) (1996).
    • (1996) ACM Trans. Comput. Syst. , vol.15 , Issue.3
    • Harchol-Balter, M.1    Downey, A.2
  • 4
    • 0031078972 scopus 로고    scopus 로고
    • Self-similarity through high-variability: Statistical analysis of Ethernet LAN traffic at the source level
    • W. Willinger, M.S. Taqqu, R. Sherman, and D.V. Wilson Self-similarity through high-variability: statistical analysis of Ethernet LAN traffic at the source level IEEE/ACM Trans. Network. 5 1 1997 71 86
    • (1997) IEEE/ACM Trans. Network. , vol.5 , Issue.1 , pp. 71-86
    • Willinger, W.1    Taqqu, M.S.2    Sherman, R.3    Wilson, D.V.4
  • 6
    • 0000891048 scopus 로고
    • A proof of the optimality of the shortest remaining processing time discipline
    • L. Schrage A proof of the optimality of the shortest remaining processing time discipline Oper. Res. 16 3 May-June 1968 687 690
    • (1968) Oper. Res. , vol.16 , Issue.3 , pp. 687-690
    • Schrage, L.1
  • 7
    • 0000950254 scopus 로고    scopus 로고
    • On choosing a task assignment policy for a distributed server system
    • M. Harchol-Balter, M. Crovella, and C. Murta On choosing a task assignment policy for a distributed server system J. Parallel Distrib. Comput. 59 2 November 1999 204 228
    • (1999) J. Parallel Distrib. Comput. , vol.59 , Issue.2 , pp. 204-228
    • Harchol-Balter, M.1    Crovella, M.2    Murta, C.3
  • 8
    • 0037885374 scopus 로고    scopus 로고
    • Task assignment with unknown durations
    • M. Halchol-Balter, Task assignment with unknown durations, J. ACM 49 (2) (2002).
    • (2002) J. ACM , vol.49 , Issue.2
    • Halchol-Balter, M.1
  • 9
    • 4243808917 scopus 로고
    • Heavy traffic theory for queues with several servers
    • J. Kollerstrom Heavy traffic theory for queues with several servers J. Appl. Prob. 11 1974 544 552
    • (1974) J. Appl. Prob. , vol.11 , pp. 544-552
    • Kollerstrom, J.1
  • 10
    • 0020721096 scopus 로고
    • Diffusion approximation for an M/G/m queue
    • T. Kimura Diffusion approximation for an M/G/m queue Oper. Res. 31 2 1983 304 321
    • (1983) Oper. Res. , vol.31 , Issue.2 , pp. 304-321
    • Kimura, T.1
  • 11
    • 0022149967 scopus 로고
    • Refining the diffusion approximation for the M/G/m queue
    • D.D. Yao Refining the diffusion approximation for the M/G/m queue Oper. Res. 33 6 1985 1266 1277
    • (1985) Oper. Res. , vol.33 , Issue.6 , pp. 1266-1277
    • Yao, D.D.1
  • 12
    • 0022728094 scopus 로고
    • Approximation of the queue-length distribution of an M/GI/s queue by the basic equations
    • M. Miyazawa Approximation of the queue-length distribution of an M/GI/s queue by the basic equations J. Appl. Prob. 23 1986 443 458
    • (1986) J. Appl. Prob. , vol.23 , pp. 443-458
    • Miyazawa, M.1
  • 13
    • 84986958774 scopus 로고
    • Approximations for the GI/G/m queue
    • W. Whitt Approximations for the GI/G/m queue Prod. Oper. Manage. 2 2 1993 114 161
    • (1993) Prod. Oper. Manage. , vol.2 , Issue.2 , pp. 114-161
    • Whitt, W.1
  • 14
    • 33645632013 scopus 로고
    • Approximations for the delay probability in the M/G/s queue
    • T. Kimura Approximations for the delay probability in the M/G/s queue Math. Comput. Modell. 22 10-12 1995 157 165
    • (1995) Math. Comput. Modell. , vol.22 , Issue.10-12 , pp. 157-165
    • Kimura, T.1
  • 15
    • 0006187570 scopus 로고
    • Approximation of the mean queue length of an M/G/c queueing system
    • B.N.W. Ma, and J.W. Mark Approximation of the mean queue length of an M/G/c queueing system Oper. Res. 43 1 1995 158 165
    • (1995) Oper. Res. , vol.43 , Issue.1 , pp. 158-165
    • Ma, B.N.W.1    Mark, J.W.2
  • 16
    • 0032352683 scopus 로고    scopus 로고
    • The M/G/c queue in light traffic
    • C.L. Wang, and R.W. Wolff The M/G/c queue in light traffic Queueing Syst. 29 1998 17 34
    • (1998) Queueing Syst. , vol.29 , pp. 17-34
    • Wang, C.L.1    Wolff, R.W.2
  • 17
    • 0034339409 scopus 로고    scopus 로고
    • The impact of a heavy-tailed service-time distribution upon the M/GI/s waiting-time distribution
    • W. Whitt The impact of a heavy-tailed service-time distribution upon the M/GI/s waiting-time distribution Queueing Syst. 36 2000 71 87
    • (2000) Queueing Syst. , vol.36 , pp. 71-87
    • Whitt, W.1
  • 18
    • 0002322170 scopus 로고    scopus 로고
    • New bounds for expected delay in FIFO GI/GI/c queues
    • A. Scheller-Wolf, and K. Sigman New bounds for expected delay in FIFO GI/GI/c queues Queueing Syst. 26 1997 169 186
    • (1997) Queueing Syst. , vol.26 , pp. 169-186
    • Scheller-Wolf, A.1    Sigman, K.2
  • 20
    • 0017971258 scopus 로고
    • Approximations for the M/G/m queue
    • P. Hokstad Approximations for the M/G/m queue Oper. Res. 26 3 1978 510 523
    • (1978) Oper. Res. , vol.26 , Issue.3 , pp. 510-523
    • Hokstad, P.1
  • 21
    • 0343076621 scopus 로고
    • Queueing processes associated with airline passenger check-in
    • A.M. Lee, and P.A. Longton Queueing processes associated with airline passenger check-in Oper. Res. Quart. 10 1957 56 71
    • (1957) Oper. Res. Quart. , vol.10 , pp. 56-71
    • Lee, A.M.1    Longton, P.A.2
  • 23
    • 0018059674 scopus 로고
    • Approximations in finite capacity multiserver queues with Poisson Arrivals
    • S. Nozaki, and R. Ross Approximations in finite capacity multiserver queues with Poisson Arrivals J. Appl. Prob. 13 1978 826 834
    • (1978) J. Appl. Prob. , vol.13 , pp. 826-834
    • Nozaki, S.1    Ross, R.2
  • 24
    • 0018544906 scopus 로고
    • Approximations of the mean waiting time in an M/G/s queueing system
    • O.J. Boxma, J.W. Cohen, and N. Huffels Approximations of the mean waiting time in an M/G/s queueing system Oper. Res. 27 6 1979 1115 1127
    • (1979) Oper. Res. , vol.27 , Issue.6 , pp. 1115-1127
    • Boxma, O.J.1    Cohen, J.W.2    Huffels, N.3
  • 25
    • 0017185879 scopus 로고
    • Some approximate equilibrium results for the multiserver queue M/G/r
    • G.P. Cosmetatos Some approximate equilibrium results for the multiserver queue M/G/r Oper. Res. Quart. 27 1976 615 620
    • (1976) Oper. Res. Quart. , vol.27 , pp. 615-620
    • Cosmetatos, G.P.1
  • 26
    • 0000846621 scopus 로고
    • Approximations for the steady-state probabilities in the M/G/c queue
    • H.C. Tijms, M.H. van Hoorn, and A. Federgruen Approximations for the steady-state probabilities in the M/G/c queue Adv. Appl. Prob. 13 1981 186 206
    • (1981) Adv. Appl. Prob. , vol.13 , pp. 186-206
    • Tijms, H.C.1    Van Hoorn, M.H.2    Federgruen, A.3
  • 27
    • 0020708030 scopus 로고
    • A light-traffic theorem for multi-server queues
    • D. Burman, and D.R. Smith A light-traffic theorem for multi-server queues Math. Oper. Res. 8 1 1983 15 24
    • (1983) Math. Oper. Res. , vol.8 , Issue.1 , pp. 15-24
    • Burman, D.1    Smith, D.R.2
  • 28
    • 85041446254 scopus 로고    scopus 로고
    • Changes in web client access patterns: Characteristics and caching implications
    • P. Barford, A. Bestavros, A. Bradley, and M. Crovella Changes in web client access patterns: characteristics and caching implications WWW J. 2 1-2 June 1999 15 28
    • (1999) WWW J. , vol.2 , Issue.1-2 , pp. 15-28
    • Barford, P.1    Bestavros, A.2    Bradley, A.3    Crovella, M.4
  • 29
    • 0032090155 scopus 로고    scopus 로고
    • Generating representative web workloads for network and server performance evaluation
    • P. Barford, M. Crovella, Generating representative web workloads for network and server performance evaluation, Proceedings of ACM SIGMETRIGS Conference, 1998, pp. 151-160.
    • (1998) Proceedings of ACM SIGMETRIGS Conference , pp. 151-160
    • Barford, P.1    Crovella, M.2
  • 31
    • 0032178081 scopus 로고    scopus 로고
    • Data networks as cascades: Investigating the multifractal nature of Internet WAN traffic
    • A. Feldmann, A.C. Gilbert, W. Willinger, Data networks as cascades: investigating the multifractal nature of Internet WAN traffic, Proceedings of ACM SIGCOMM, 1998, pp. 42-55.
    • (1998) Proceedings of ACM SIGCOMM , pp. 42-55
    • Feldmann, A.1    Gilbert, A.C.2    Willinger, W.3
  • 33
    • 0029323403 scopus 로고
    • Wide area traffic: The failure of Poisson modeling
    • V. Paxson, and S. Floyd Wide area traffic: the failure of Poisson modeling IEEE/ACM Trans. Network. 3 3 1995 226 244
    • (1995) IEEE/ACM Trans. Network. , vol.3 , Issue.3 , pp. 226-244
    • Paxson, V.1    Floyd, S.2
  • 34
    • 0034442563 scopus 로고    scopus 로고
    • IP packet generation: Statistical models for TCP start times based on connection-rate superposition
    • W.S. Cleveland, D. Lin, and D.X. Sun IP packet generation: statistical models for TCP start times based on connection-rate superposition Proceedings of ACM SIGMETRICS 2000 166 177
    • (2000) Proceedings of ACM SIGMETRICS , pp. 166-177
    • Cleveland, W.S.1    Lin, D.2    Sun, D.X.3
  • 36
  • 38
    • 0006168820 scopus 로고
    • An approximation formula for the mean waiting time of an m/g/c queue
    • Y. Takahashi An approximation formula for the mean waiting time of an m/g/c queue J. Oper. Res. Soc. Japan 20 1977 150 163
    • (1977) J. Oper. Res. Soc. Japan , vol.20 , pp. 150-163
    • Takahashi, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.