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Volumn 34, Issue 3, 1997, Pages 720-732

Heavy traffic analysis for continuous polling models

Author keywords

Age dependent branching process; Continuous polling system; Exponential approximation; Gamma approximation; Generating function; Heavy traffic; Queue length; Queueing theory; Random measure

Indexed keywords

APPROXIMATION THEORY; MATHEMATICAL MODELS;

EID: 0031220784     PISSN: 00219002     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0021900200101378     Document Type: Article
Times cited : (18)

References (17)
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    • Boxma, O.J.1    Takagi, H.2
  • 3
    • 0022754667 scopus 로고
    • A continuous polling system with constant service times
    • COFFMAN, JR. E. G. AND GILBERT, E. N. (1986) A continuous polling system with constant service times. IEEE Trans. Inform. Theory 32, 584-591.
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    • Coffman E.G., Jr.1    Gilbert, E.N.2
  • 4
    • 21844507918 scopus 로고
    • Polling systems with zero switchover times: A heavy-traffic averaging principle
    • COFFMAN, JR., E. G., PUHALSKII, A. A. AND REIMAN, M. I. (1995) Polling systems with zero switchover times: a heavy-traffic averaging principle. Ann. Appl. Prob. 5, 681-719.
    • (1995) Ann. Appl. Prob. , vol.5 , pp. 681-719
    • Coffman E.G., Jr.1    Puhalskii, A.A.2    Reiman, M.I.3
  • 7
    • 0022064757 scopus 로고
    • Application of decomposition principle in M/G/1 vacation model to two continuum cyclic queueing models - Especially token-ring LANs
    • FUHRMANN, S. W. AND COOPER, R. B. (1985) Application of decomposition principle in M/G/1 vacation model to two continuum cyclic queueing models - especially token-ring LANs. AT&T Tech. J. 64, 1091-1098.
    • (1985) AT&T Tech. J. , vol.64 , pp. 1091-1098
    • Fuhrmann, S.W.1    Cooper, R.B.2
  • 9
    • 0000823828 scopus 로고
    • On queues in heavy traffic
    • KINGMAN, J. F. C. (1962) On queues in heavy traffic. J. R. Statist. Soc. B 24, 383-392.
    • (1962) J. R. Statist. Soc. B , vol.24 , pp. 383-392
    • Kingman, J.F.C.1
  • 10
    • 0020130912 scopus 로고
    • Queue disciplines in heavy traffic
    • KINGMAN, J. F. C. (1982) Queue disciplines in heavy traffic. Math. Operat. Res. 7, 262-271.
    • (1982) Math. Operat. Res. , vol.7 , pp. 262-271
    • Kingman, J.F.C.1
  • 11
    • 0040057252 scopus 로고
    • A continuous polling system with general service times
    • KROESE, D. P. AND SCHMIDT, V. (1992) A continuous polling system with general service times. Ann. Appl. Prob. 2, 906-927.
    • (1992) Ann. Appl. Prob. , vol.2 , pp. 906-927
    • Kroese, D.P.1    Schmidt, V.2
  • 12
    • 21844485721 scopus 로고
    • Single-server queues with spatially distributed arrivals
    • KROESE, D. P. AND SCHMIDT, V. (1994) Single-server queues with spatially distributed arrivals. Queueing Systems. 17, 317-345.
    • (1994) Queueing Systems. , vol.17 , pp. 317-345
    • Kroese, D.P.1    Schmidt, V.2
  • 13
    • 21144470708 scopus 로고
    • Polling systems and multiple branching processes
    • RESING, J. A. C. (1993) Polling systems and multiple branching processes. Queueing Systems 13, 409-426.
    • (1993) Queueing Systems , vol.13 , pp. 409-426
    • Resing, J.A.C.1
  • 14
    • 0002318660 scopus 로고
    • Exponential approximation of waiting time and queue size for queues in heavy traffic
    • SZCZOTKA, W. (1990) Exponential approximation of waiting time and queue size for queues in heavy traffic. Adv. Appl. Prob. 22, 230-240.
    • (1990) Adv. Appl. Prob. , vol.22 , pp. 230-240
    • Szczotka, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.