Geodesic
A simple analysis of a D/GI/1 vacation queue with impatient customers
Teoriâ slučajnyh processov, Tome 22 (2017) no. 1, pp. 1-15

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In this paper, we deal with an D/GI/1 vacation system with impatient customers. We give a sufficient condition for the existence of a limit distribution of the waiting time and integral equations are derived in both reneging and balking scenarios. Explicit solutions are given when vacation times are exponentially distributed and service times are either exponentially distributed or deterministic.
Keywords: Vacation system, balking, reneging, integral equation.
Mots-clés : Laplace transform 
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     author = {A. Boumahdaf},
     title = {A simple analysis of a {D/GI/1} vacation queue with impatient customers},
     journal = {Teori\^a slu\v{c}ajnyh processov},
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     publisher = {mathdoc},
     volume = {22},
     number = {1},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/THSP_2017_22_1_a0/}
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A. Boumahdaf. A simple analysis of a D/GI/1 vacation queue with impatient customers. Teoriâ slučajnyh processov, Tome 22 (2017) no. 1, pp. 1-15. http://geodesic.mathdoc.fr/item/THSP_2017_22_1_a0/