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

Volume: 7 Number: 1 June 1, 2017
  • T.m. Alıyev
  • N.a. Aliyev
  • V.m. Mamedov
EN

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

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.

Keywords

References

  1. [1] Nasirova,T.I., (1984), Processes of Semi-markov walk, Baku, ”Elm”,pp.167, (in Russian)
  2. [2] Borovkov,A.A., (1981), Probability processes in queueing theory. M. Nauka, pp.384, (in Russian)
  3. [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. [4] Courant,R., (1964), Partial equations. M.Mir., pp.830, (in Russian).
  5. [5] Vladimirov,R., (1971), Equations of mathematical physics. M. Mir, pp.512, (in Russian).

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

T.m. Alıyev This is me

N.a. Aliyev This is me

V.m. Mamedov This is me

Publication Date

June 1, 2017

Submission Date

-

Acceptance Date

-

Published in Issue

Year 2017 Volume: 7 Number: 1

APA
Alıyev, T., Aliyev, N., & Mamedov, V. (2017). ON RELATION OF TWO PROCESSES WITH INDEPENDENT INCREMENTS APPLIED IN QUEUEING SYSTEMS. TWMS Journal of Applied and Engineering Mathematics, 7(1), 51-57. https://izlik.org/JA25MU26GH
AMA
1.Alıyev T, Aliyev N, Mamedov V. ON RELATION OF TWO PROCESSES WITH INDEPENDENT INCREMENTS APPLIED IN QUEUEING SYSTEMS. JAEM. 2017;7(1):51-57. https://izlik.org/JA25MU26GH
Chicago
Alıyev, T.m., N.a. Aliyev, and V.m. Mamedov. 2017. “ON RELATION OF TWO PROCESSES WITH INDEPENDENT INCREMENTS APPLIED IN QUEUEING SYSTEMS”. TWMS Journal of Applied and Engineering Mathematics 7 (1): 51-57. https://izlik.org/JA25MU26GH.
EndNote
Alıyev T, Aliyev N, Mamedov V (June 1, 2017) ON RELATION OF TWO PROCESSES WITH INDEPENDENT INCREMENTS APPLIED IN QUEUEING SYSTEMS. TWMS Journal of Applied and Engineering Mathematics 7 1 51–57.
IEEE
[1]T. Alıyev, N. Aliyev, and V. Mamedov, “ON RELATION OF TWO PROCESSES WITH INDEPENDENT INCREMENTS APPLIED IN QUEUEING SYSTEMS”, JAEM, vol. 7, no. 1, pp. 51–57, June 2017, [Online]. Available: https://izlik.org/JA25MU26GH
ISNAD
Alıyev, T.m. - Aliyev, N.a. - Mamedov, V.m. “ON RELATION OF TWO PROCESSES WITH INDEPENDENT INCREMENTS APPLIED IN QUEUEING SYSTEMS”. TWMS Journal of Applied and Engineering Mathematics 7/1 (June 1, 2017): 51-57. https://izlik.org/JA25MU26GH.
JAMA
1.Alıyev T, Aliyev N, Mamedov V. ON RELATION OF TWO PROCESSES WITH INDEPENDENT INCREMENTS APPLIED IN QUEUEING SYSTEMS. JAEM. 2017;7:51–57.
MLA
Alıyev, T.m., et al. “ON RELATION OF TWO PROCESSES WITH INDEPENDENT INCREMENTS APPLIED IN QUEUEING SYSTEMS”. TWMS Journal of Applied and Engineering Mathematics, vol. 7, no. 1, June 2017, pp. 51-57, https://izlik.org/JA25MU26GH.
Vancouver
1.T.m. Alıyev, N.a. Aliyev, V.m. Mamedov. ON RELATION OF TWO PROCESSES WITH INDEPENDENT INCREMENTS APPLIED IN QUEUEING SYSTEMS. JAEM [Internet]. 2017 Jun. 1;7(1):51-7. Available from: https://izlik.org/JA25MU26GH