Variant vacation queueing system with Bernoulli feedback, balking and server's states-dependent reneging

Authors

  • Amina Angelika Bouchentouf Department of Mathematics, Laboratory of Mathematics, Djillali Liabes University of Sidi Bel Abbes, Sidi Bel Abbes, Algeria
  • Mohamed Boualem Research Unit LaMOS (Modeling and Optimization of Systems), Faculty of Technology, University of Bejaia, Bejaia, Algeria
  • Mouloud Cherfaoui Research Unit LaMOS (Modeling and Optimization of Systems), University of Bejaia, Algeria
  • Latifa Medjahri Laboratory of Mathematics, University of Sidi Bel Abbes, Algeria Abou Bekr Belkaid University of Tlemcen, Tlemcen, Algeria

DOI:

https://doi.org/10.2298/YJOR200418003B

Keywords:

Queueing models, Vacation, Impatience, Bernoulli feedback, Simulation.

Abstract

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.

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Published

2021-11-01

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Research Articles