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Volumn 31, Issue 3, 1999, Pages 788-794

Tightness of the stationary waiting time in heavy traffic

Author keywords

Heavy traffic; Mixing conditions; Single server queueing system; Stationary waiting time; Tightness

Indexed keywords


EID: 0033184509     PISSN: 00018678     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0001867800009411     Document Type: Article
Times cited : (6)

References (13)
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  • 3
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    • Daley, D.J.1    Foley, R.D.2    Rolski, T.3
  • 5
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    • A note on the central limit theorem for dependent random variables
    • IBRAGIMOV, I. A. (1975). A note on the central limit theorem for dependent random variables. Tlieory Prob. Appl. 20, 134-140.
    • (1975) Tlieory Prob. Appl. , vol.20 , pp. 134-140
    • Ibragimov, I.A.1
  • 6
    • 84971138749 scopus 로고
    • A martingale inequality in the theory of queues
    • KlNGMAN, J. F. (1964). A martingale inequality in the theory of queues. Proc. Camb. Phil. Soc., 359-361.
    • (1964) Proc. Camb. Phil. Soc. , pp. 359-361
    • Klngman, J.F.1
  • 7
    • 84972533485 scopus 로고
    • Functional central limit theorems for strictly stationary processes satisfying the strong mixing condition
    • OODARIA, H. AND YSHIHARA, K. (1972). Functional central limit theorems for strictly stationary processes satisfying the strong mixing condition. KodaiMath. Sem. Rep. 24, 259-269.
    • (1972) KodaiMath. Sem. Rep. , vol.24 , pp. 259-269
    • Oodaria, H.1    Yshihara, K.2
  • 8
    • 0002720637 scopus 로고
    • Recent advances in the central limit theorem and its weak invariance principle for mixing sequences of random variables (a survey)
    • PELIGRAD, M. (1986). Recent advances in the central limit theorem and its weak invariance principle for mixing sequences of random variables (a survey). In Dependence in Probability and Statistics. Birkhauser, Basel, pp. 193-223.
    • (1986) In Dependence in Probability and Statistics. Birkhauser, Basel , pp. 193-223
    • Peligrad, M.1
  • 10
    • 0010871751 scopus 로고
    • Moment inequalities for the maximum cumulative sum
    • SERFLING, R. J. (1970). Moment inequalities for the maximum cumulative sum. Ann. Math. Statist. 4, 1227-1234.
    • (1970) Ann. Math. Statist. , vol.4 , pp. 1227-1234
    • Serfling, R.J.1
  • 11
    • 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
  • 12
    • 0342947157 scopus 로고
    • A distributional form of Little law in heavy traffic
    • SZCZOTKA, W. (1992). A distributional form of Little law in heavy traffic. Ann. Prob. 25, 790-800.
    • (1992) Ann. Prob. , vol.25 , pp. 790-800
    • Szczotka, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.