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A simple analysis of a D/GI/1 vacation queue with impatient customers
A. Boumahdaf Université Pierre et Marie Curie, Laboratoire de Statistique Théorique et Appliquée 4, place jussieu, 75005 Paris, FRANCE
Abstract:
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, Laplace transform, integral equation.
Citation:
A. Boumahdaf, “A simple analysis of a D/GI/1 vacation queue with impatient customers”, Theory Stoch. Process., 22(38):1 (2017), 1–15
Linking options:
https://www.mathnet.ru/eng/thsp166 https://www.mathnet.ru/eng/thsp/v22/i1/p1
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Abstract page: | 112 | Full-text PDF : | 39 | References: | 21 |
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