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Volumn 14, Issue 2, 2004, Pages 517-554

Invariant states and rates of convergence for a critical fluid model of a processor sharing queue

Author keywords

Coupling renewal processes; Critical fluid model; Invariant states; Measure valued solution; Processor sharing queue; Renewal functions; Renewal measures

Indexed keywords


EID: 26844433655     PISSN: 10505164     EISSN: 10505164     Source Type: Journal    
DOI: 10.1214/105051604000000017     Document Type: Article
Times cited : (18)

References (14)
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    • Bramson, M.1
  • 2
    • 0038877644 scopus 로고    scopus 로고
    • Convergence to equilibria for fluid models of head-of-the-line proportional processor sharing queueing networks
    • BRAMSON, M. (1997). Convergence to equilibria for fluid models of head-of-the-line proportional processor sharing queueing networks. Queueing Systems Theory Appl. 23 1-26.
    • (1997) Queueing Systems Theory Appl. , vol.23 , pp. 1-26
    • Bramson, M.1
  • 3
    • 0032262849 scopus 로고    scopus 로고
    • State space collapse with applications to heavy traffic limits for multiclass queueing networks
    • BRAMSON, M. (1998). State space collapse with applications to heavy traffic limits for multiclass queueing networks. Queueing Systems Theory Appl. 30 89-148.
    • (1998) Queueing Systems Theory Appl. , vol.30 , pp. 89-148
    • Bramson, M.1
  • 4
    • 0031325516 scopus 로고    scopus 로고
    • Fluid approximations for a processor-sharing queue
    • CHEN, H., KELLA, O. and WEISS, G. (1997). Fluid approximations for a processor-sharing queue. Queueing Systems Theory Appl. 27 99-125.
    • (1997) Queueing Systems Theory Appl. , vol.27 , pp. 99-125
    • Chen, H.1    Kella, O.2    Weiss, G.3
  • 9
    • 18844394130 scopus 로고    scopus 로고
    • Diffusion approximation for a processor sharing queue in heavy traffic
    • To appear
    • GROMOLL, H. C. (2004). Diffusion approximation for a processor sharing queue in heavy traffic. Ann. Appl. Probab. To appear.
    • (2004) Ann. Appl. Probab.
    • Gromoll, H.C.1
  • 10
    • 0036392198 scopus 로고    scopus 로고
    • The fluid limit of a heavily loaded processor sharing queue
    • GROMOLL, H. C., PUHA, A. L. and WILLIAMS, R. J. (2002). The fluid limit of a heavily loaded processor sharing queue. Ann. Appl. Probab. 12 797-859.
    • (2002) Ann. Appl. Probab. , vol.12 , pp. 797-859
    • Gromoll, H.C.1    Puha, A.L.2    Williams, R.J.3
  • 11
    • 0031996403 scopus 로고    scopus 로고
    • Heavy tails and long range dependence in on/off processes and associated fluid models
    • HEATH, D., RESNICK, S. and SAMORODNITSKY, G. (1998). Heavy tails and long range dependence in on/off processes and associated fluid models. Math. Oper. Res. 23 145-165.
    • (1998) Math. Oper. Res. , vol.23 , pp. 145-165
    • Heath, D.1    Resnick, S.2    Samorodnitsky, G.3
  • 14
    • 0032262848 scopus 로고    scopus 로고
    • Diffusion approximations for open multiclass queueing networks: Sufficient conditions involving state space collapse
    • WILLIAMS, R. J. (1998). Diffusion approximations for open multiclass queueing networks: Sufficient conditions involving state space collapse. Queueing Systems Theory Appl. 30 27-88.
    • (1998) Queueing Systems Theory Appl. , vol.30 , pp. 27-88
    • Williams, R.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.