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Compound transient phenomena in multiphase queuing systems

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References

  1. S. Minkevičius, Weak convergence in multiphase queueing systems,Lith. Math. J.,26, 347–351 (1986).

    Article  MATH  Google Scholar 

  2. S. Minkevičius, Transient phenomenas in multiphase queues,Lith. Math. J.,31, 136–145 (1991).

    MATH  Google Scholar 

  3. S. Minkevičius, On the law of the iterated logarithm in multiphase queueing systems,Lith. Math. J.,35, 284–288 (1995).

    MATH  Google Scholar 

  4. S. Minkevičius, On the virtual waiting time in multiphase queues, in:5th IFAC Symposium on Automated Systems, Berlin, Germany, September 25–28 (1995), pp. 86–91.

  5. P. Billingsley,Convergence of Probability Measures, John Wiley, New York (1968).

    MATH  Google Scholar 

  6. A. A. Borovkov,Stochastic Processes in Queueing Theory [in Russian], Nauka, Moscow (1972).

    MATH  Google Scholar 

  7. A. A. Borovkov,Asymptotic Methods in Queueing Theory [in Russian], Nauka, Moscow (1980).

    MATH  Google Scholar 

  8. Ju. V. Prohorov, Transition phenomena in queueing process. I,Liet. Mat. Rinkinys.,3, 199–206 (1963).

    MATH  MathSciNet  Google Scholar 

  9. È. G. Samandarov, Queueing systems in heavy traffic,Teor. Veryatn. Primen.,8, 327–330 (1963).

    MATH  MathSciNet  Google Scholar 

  10. Br. Grigelionis and R. Minkevičius, On diffusion approximations in queueing theory, in:Proc. Conf. on Teletraffic, Moscow (1984).

  11. D. L. Iglehart, Weak convergence in queueing theory,Adv. Appl. Probab.,5, 570–594 (1973).

    Article  MATH  MathSciNet  Google Scholar 

  12. D. L. Iglehart and W. Whitt, Multiple channel queues in heavy traffic. II: sequences, networks and batches,Adv. Appl. Probab.,2, 355–369 (1970).

    Article  MATH  MathSciNet  Google Scholar 

  13. E. Kyprianou, The virtual waiting time of the G1/G/1 in heavy traffic,Adv. Appl. Probab.,3, 249–269 (1974).

    Article  MathSciNet  Google Scholar 

  14. J. F. Kingman, On queues in heavy traffic,J. Roy. Statist. Soc.,24, 383–392 (1962).

    MATH  MathSciNet  Google Scholar 

  15. J. F. Kingman, The single server queue in heavy traffic,Proc. Camb. Phil. Soc.,57, 902–904 (1962).

    Article  MathSciNet  Google Scholar 

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Authors
  1. S. Minkevičius
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Additional information

Institute of Mathematics and Informatics, Akademijos 4, 2600 Vilnius, Lithuania. Translated from Lietuvos Matematikos Rinkinys, Vol. 37, No. 4, pp. 519–531, October–December, 1997.

Translated by Z. Kryžius

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Minkevičius, S. Compound transient phenomena in multiphase queuing systems. Lith Math J 37, 392–401 (1997). https://doi.org/10.1007/BF02465580

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  • DOI: https://doi.org/10.1007/BF02465580

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