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Volumn 21, Issue 1-2, 1995, Pages 5-66

Large deviation analysis of the single server queue

Author keywords

large deviation principle; large deviations; queue length; Single server queue; virtual waiting time

Indexed keywords


EID: 11244255363     PISSN: 02570130     EISSN: 15729443     Source Type: Journal    
DOI: 10.1007/BF01158574     Document Type: Article
Times cited : (34)

References (77)
  • 2
    • 84936072833 scopus 로고    scopus 로고
    • A. de Acosta, Exponential tightness and projective systems in large deviation theory, Volume dedicated to Lucien Le Cam on his 70th birthday.
  • 5
    • 84936103784 scopus 로고    scopus 로고
    • J.-P. Aubin, L'Analyse non Linéaire et ses Motivations Économiques (Masson, 1984).
  • 6
    • 84936130440 scopus 로고    scopus 로고
    • J.-P. Aubin and I. Ekeland, Applied Nonlinear Analysis (Wiley, 1984).
  • 7
    • 84936061919 scopus 로고    scopus 로고
    • P. Billingsley, Convergence of Probability Measures (Wiley, 1968).
  • 9
    • 84936113310 scopus 로고    scopus 로고
    • A.A. Borovkov, Stochastic Processes in Queueing Theory (in Russian: Nauka, 1972, English translation: Springer, 1976).
  • 10
    • 84936117409 scopus 로고    scopus 로고
    • A.A. Borovkov, Asymptotic Methods in Queueing Theory (in Russian, Nauka, 1980).
  • 11
    • 84936087852 scopus 로고    scopus 로고
    • W. Bryc, Large deviations by the asymptotic value method, Diffusion Processes and Related Problems in Analysis, Vol. 1, ed. M.A. Pinsky (Birkhäuser, 1990) pp. 447–472.
  • 12
    • 84936072409 scopus 로고    scopus 로고
    • E.G. Coffman, Jr., and M. I. Reiman, Diffusion approximations for computer/communication systems, Math. Comput. Perform. Reliab. (North-Holland, 1984) pp. 33–53.
  • 13
    • 0010191232 scopus 로고
    • Large deviations for joint distributions and statistical applications
    • Department of Mathematics and Statistics, Old Dominion University, Norfolk, VA
    • (1993) Technical Report TR93-2
    • Chaganty, N.R.1
  • 15
    • 84936109895 scopus 로고    scopus 로고
    • C. Dellacherie, Capacités et Processus Stochastiques (Springer, 1972).
  • 16
    • 84936070782 scopus 로고    scopus 로고
    • A. Dembo and O. Zeitouni, Large Deviations Techniques and Applications (Jones & Bartlett, 1993).
  • 17
    • 84936059450 scopus 로고    scopus 로고
    • J.D. Deuschel and D.W. Stroock, Large Deviations (Academic Press, 1989).
  • 20
    • 84936087825 scopus 로고    scopus 로고
    • R.M. Dudley, Real Analysis and Probability (Wadsworth & Brooks/Cole, 1989).
  • 22
    • 84936108427 scopus 로고    scopus 로고
    • P. Dupuis and R.S. Ellis, The large deviation principle for a general class of queueing systems, I, Technical Report, Brown University and University of Massachusets (1994).
  • 24
    • 84936115524 scopus 로고    scopus 로고
    • H. Federer, Geometric Measure Theory (Springer, 1969).
  • 26
    • 84936060065 scopus 로고    scopus 로고
    • M.I. Freidlin and A.D. Wentzell, Random Perturbations of Dynamical Systems (in Russian: Nauka, 1979, English translation: Springer, 1984).
  • 30
    • 84936156817 scopus 로고    scopus 로고
    • P.W. Glynn, A. Puhalskii and W. Whitt, Functional large deviation principle for inverse processes (in preparation).
  • 31
    • 84936059238 scopus 로고    scopus 로고
    • P.L. Hennequin et A. Tortrat, Théorie des Probabilités et Quelques Applications (Masson, 1965).
  • 37
    • 84936071324 scopus 로고    scopus 로고
    • N. Ikeda and S. Watanabe, Stochastic Differential Equations and Diffusion Processes (North-Holland, 1981).
  • 43
    • 84936108803 scopus 로고    scopus 로고
    • P.A. Meyer, Probability and Potentials (Blaisdell, 1966).
  • 48
    • 84936166422 scopus 로고    scopus 로고
    • G.L. O'Brien and W. Vervaat, Capacities, large deviations and loglog laws, Stable Processes, eds. Cambanis, Samorodnitsky and Taqqu (Birkhüser, 1991) pp. 43–83.
  • 49
    • 84936062493 scopus 로고    scopus 로고
    • G.L. O'Brien, Sequences of capacities, with connections to large deviation theory, Preprint (1994).
  • 50
    • 84936093903 scopus 로고    scopus 로고
    • G.L. O'Brien and J. Sun, Large deviations on linear spaces, Preprint (1994).
  • 51
    • 84936067131 scopus 로고    scopus 로고
    • D. Pollard, Convergence of Stochastic Processes (Springer, 1984).
  • 52
    • 84936154571 scopus 로고    scopus 로고
    • A. Puhalskii, On functional principle of large deviations, New Trends in Probability and Statistics, Vol 1, eds. V. Sazonov and T. Shervashidze (VSP/Moks'las, 1991) pp. 198–218.
  • 56
    • 84936135369 scopus 로고    scopus 로고
    • A. Puhalskii, Large deviations of the statistical empirical process, Frontiers in Pure and Applied Probability 8, eds. A.N. Shiryaev et al. (TVP, 1995).
  • 57
    • 84936121792 scopus 로고    scopus 로고
    • A. Puhalskii, Large deviations of semimartingales: a maxingale problem approach (in preparation).
  • 59
  • 61
    • 84936075636 scopus 로고    scopus 로고
    • R.T. Rockafellar, Convex Analysis (Princeton University Press, 1970).
  • 63
    • 0008996557 scopus 로고
    • The probability of large queue lengths and waiting times in a heterogeneous multiserver queue, part II: positive recurrence and logarithmic limits
    • (1995) Advances in Applied Probability , vol.27 , pp. 567-583
    • Sadowsky, J.S.1
  • 64
    • 84936081383 scopus 로고    scopus 로고
    • G.E. Shilov and B.L. Gurevich, Integral, Measure and Derivative: a Unified Approach (Prentice Hall, 1966).
  • 65
    • 84936163866 scopus 로고    scopus 로고
    • A.N. Shiryaev, Probability, 2nd Ed. (in Russian, Nauka, 1989).
  • 70
    • 84936135161 scopus 로고    scopus 로고
    • S.R.S. Varadhan, Large Deviations and Applications (SIAM, 1984).
  • 73
    • 84936068704 scopus 로고    scopus 로고
    • A.D. Wentzell, Limit Theorems on Large Deviations for Markov Random Processes (in Russian: Nauka, 1986, English translation: Reidel, 1989).
  • 77
    • 84936159767 scopus 로고    scopus 로고
    • A. Shwartz and A. Weiss, Large Deviations for Performance Analysis (Chapman & Hall, 1995).


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.