Title of article :
ON RELATION OF TWO PROCESSES WITH INDEPENDENT INCREMENTS APPLIED IN QUEUEING SYSTEMS
Author/Authors :
ALIYEV, T.M Institute of Control Systems - Azerbaijan National Academy of Sciences - Baku, Azerbaijan , ALIYEV, N.A Baku State University - Baku, Azerbaijan , MAMEDOV, V.M Institute of Control Systems - Azerbaijan National Academy of Sciences - Baku, Azerbaijan
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 :
Process with independent increments , lattice distribution , Poison process
Journal title :
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
