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ON RELATION OF TWO PROCESSES WITH INDEPENDENT INCREMENTS APPLIED IN QUEUEING SYSTEMS

Year 2017, Volume: 7 Issue: 1, 51 - 57, 01.06.2017

Abstract

In the paper, by using two processes ξt and η t , t ≥ 0 with independent increments, one of which is without negative overshoots and the second one is homogeneous in time, we study a homogeneous Markov process ξt, t ≥ 0, and we find the Laplace transform of the generating function of transitional probabilities of the process ξt, t ≥ 0.

References

  • [1] Nasirova,T.I., (1984), Processes of Semi-markov walk, Baku, ”Elm”,pp.167, (in Russian)
  • [2] Borovkov,A.A., (1981), Probability processes in queueing theory. M. Nauka, pp.384, (in Russian)
  • [3] Tunj,Ya.S., Bakhiyev,Sh.B., and Ibayev,E.A. (2014) Investigation of the process of Semi-markov walk with positive drift and negative overshoots. Transaction NASA, ”Information and problem of control”,vol. XXXIV, No 3, pp.133-139. (in Russian)
  • [4] Courant,R., (1964), Partial equations. M.Mir., pp.830, (in Russian).
  • [5] Vladimirov,R., (1971), Equations of mathematical physics. M. Mir, pp.512, (in Russian).
Year 2017, Volume: 7 Issue: 1, 51 - 57, 01.06.2017

Abstract

References

  • [1] Nasirova,T.I., (1984), Processes of Semi-markov walk, Baku, ”Elm”,pp.167, (in Russian)
  • [2] Borovkov,A.A., (1981), Probability processes in queueing theory. M. Nauka, pp.384, (in Russian)
  • [3] Tunj,Ya.S., Bakhiyev,Sh.B., and Ibayev,E.A. (2014) Investigation of the process of Semi-markov walk with positive drift and negative overshoots. Transaction NASA, ”Information and problem of control”,vol. XXXIV, No 3, pp.133-139. (in Russian)
  • [4] Courant,R., (1964), Partial equations. M.Mir., pp.830, (in Russian).
  • [5] Vladimirov,R., (1971), Equations of mathematical physics. M. Mir, pp.512, (in Russian).
There are 5 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

T.m. Alıyev This is me

N.a. Aliyev This is me

V.m. Mamedov This is me

Publication Date June 1, 2017
Published in Issue Year 2017 Volume: 7 Issue: 1

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