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Volumn 31, Issue 4, 2003, Pages 2237-2269

The attractiveness of the fixed points of a ·/GI/1 queue

Author keywords

Couplings; Fixed points; Queueing networks; Weak convergence

Indexed keywords


EID: 0346756084     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/aop/1068646384     Document Type: Article
Times cited : (11)

References (15)
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  • 3
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  • 4
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    • The output of a queueing system
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    • Burke, P.J.1
  • 5
    • 21844500321 scopus 로고
    • On the input-output map of a G/G/1 queue
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    • (1994) J. Appl. Probab. , vol.31 , pp. 1128-1133
    • Chang, C.S.1
  • 7
    • 0001649144 scopus 로고
    • Departures from many queues in series
    • GLYNN, P. and WHITT, W. (1991). Departures from many queues in series. Ann. Appl. Probab. 1 546-572.
    • (1991) Ann. Appl. Probab. , vol.1 , pp. 546-572
    • Glynn, P.1    Whitt, W.2
  • 9
    • 84959708559 scopus 로고
    • The stability of a queue with non-independent inter-arrival and service times
    • LOYNES, R. M. (1962). The stability of a queue with non-independent inter-arrival and service times. Proc. Cambridge Philos. Soc. 58 497-520.
    • (1962) Proc. Cambridge Philos. Soc. , vol.58 , pp. 497-520
    • Loynes, R.M.1
  • 10
    • 0348017047 scopus 로고    scopus 로고
    • The existence of fixed points for the ·/GI/1 queue
    • MAIRESSE, J. and PRABHAKAR, B. (2003). The existence of fixed points for the ·/GI/1 queue. Ann. Probab. 31 2216-2236.
    • (2003) Ann. Probab. , vol.31 , pp. 2216-2236
    • Mairesse, J.1    Prabhakar, B.2
  • 11
    • 0036089929 scopus 로고    scopus 로고
    • Large tandem queueing networks with blocking
    • MARTIN, J. (2002). Large tandem queueing networks with blocking. Queueing Systems Theory Appl. 41 45-72.
    • (2002) Queueing Systems Theory Appl. , vol.41 , pp. 45-72
    • Martin, J.1
  • 12
    • 0001153989 scopus 로고
    • On the weak convergence of departures from an infinite sequence of ·/M/1 queues
    • MOUNTFORD, T. S. and PRABHAKAR, B. (1995). On the weak convergence of departures from an infinite sequence of ·/M/1 queues. Ann. Appl. Probab. 5 121-127.
    • (1995) Ann. Appl. Probab. , vol.5 , pp. 121-127
    • Mountford, T.S.1    Prabhakar, B.2
  • 13
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    • The Cesaro limit of departures from certain ·/GI/1 queueing tandems
    • (F. P. Kelly, S. Zachary and I. Ziedins, eds.) Clarendon Press, Oxford
    • MOUNTFORD, T. S. and PRABHAKAR, B. (1996). The Cesaro limit of departures from certain ·/GI/1 queueing tandems. In Stochastic Networks: Theory and Applications (F. P. Kelly, S. Zachary and I. Ziedins, eds.) 309-322. Clarendon Press, Oxford.
    • (1996) Stochastic Networks: Theory and Applications , pp. 309-322
    • Mountford, T.S.1    Prabhakar, B.2
  • 14
    • 0012101632 scopus 로고    scopus 로고
    • Convergence of departures in tandem networks of ·/GI/∞ queues
    • PRABHAKAR, B., MOUNTFORD, T. S. and BAMBOS, N. (1996). Convergence of departures in tandem networks of ·/GI/∞ queues. Probab. Engrg. Inform. Sci. 10 487-500.
    • (1996) Probab. Engrg. Inform. Sci. , vol.10 , pp. 487-500
    • Prabhakar, B.1    Mountford, T.S.2    Bambos, N.3
  • 15
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    • Some applications of probability generating functional to the study of input-output streams
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    • Vere-Jones, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.