Geodesic
Variant Vacation Queuing System With Bernoulli Feedback, Balking and Server’s States-Dependent Reneging
Yugoslav journal of operations research, Tome 31 (2021) no. 4, p. 557 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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We consider a single server Markovian feedback queue with variant of multiple vacation policy, balking, server’s states-dependent reneging, and retention of reneged customers. We obtain the steady-state solution of the considered queue based on the use of probability generating functions. Then, the closed-form expressions of different system characteristics are derived. Finally, we present some numerical results in order to show the impact of the parameters of impatience timers on the performance measures of the system.
Classification : 60K25, 68M20, 90B22
Keywords: Queuing Models, Vacation, Impatience, Bernoulli Feedback, Simulation. 
@article{YJOR_2021_31_4_a8,
     author = {Amina Angelika Bouchentouf and Mohamed Boualem and Mouloud Cherfaoui and Latifa Medjahri},
     title = {Variant {Vacation} {Queuing} {System} {With} {Bernoulli} {Feedback,} {Balking} and {Server{\textquoteright}s} {States-Dependent} {Reneging}},
     journal = {Yugoslav journal of operations research},
     pages = {557 },
     year = {2021},
     volume = {31},
     number = {4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/YJOR_2021_31_4_a8/}
}
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Amina Angelika Bouchentouf; Mohamed Boualem; Mouloud Cherfaoui; Latifa Medjahri. Variant Vacation Queuing System With Bernoulli Feedback, Balking and Server’s States-Dependent Reneging. Yugoslav journal of operations research, Tome 31 (2021) no. 4, p. 557 . http://geodesic.mathdoc.fr/item/YJOR_2021_31_4_a8/