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

T.M. ALIYEV, N.A. ALIYEV, V.M. MAMEDOV

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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.