Geodesic
The Laplace transform of the ergodic distribution of the
Teoriâ slučajnyh processov, Tome 15 (2009) no. 1, pp. 49-60.

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The Laplace–Stieltjes transform with respect to $x$, the Laplace transform with respect to $t$, the conditional distribution, the unconditional distribution, and the Laplace transform of the ergodic distribution of the process of semi-Markovian random walk with negative drift, nonnegative jumps, delays, and delaying screen at zero are obtained.
Keywords: Semi-Markov random walk, ergodic distribution
Mots-clés : Laplace–Stieltjes transform. 
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T. I. Nasirova; E. A. Ibaev; T. A. Alieva. The Laplace transform of the ergodic distribution of the. Teoriâ slučajnyh processov, Tome 15 (2009) no. 1, pp. 49-60. http://geodesic.mathdoc.fr/item/THSP_2009_15_1_a5/

[1] I. I. Gikhman, A. V. Skorokhod, Introduction to the Theory of Random Processes, Nauka, Moscow, 1977 (in Russian) | MR | Zbl

[2] K. M. Jafarov, Investigation of the process of semi-Markovian random walk with negative drift and delaying screen at zero, Author’s abstract of the Candidate Degree Thesis (Physics and Mathematics), Institute of Mathematics, Kiev, 1978 (in Russian)

[3] G. P. Klimov, Queuing Theory, Nauka, Moscow, 1966 (in Russian) | MR

[4] D. V. Lindley, “Queues with a single server”, Proceedings of the Cambridge Philos. Soc., 60:3 (1964), 569–674 | DOI