2020 | 30 | 4 | 5-28
Article title

Impatient customers in Markovian queue with Bernoulli feedback and waiting server under variant working vacation policy

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This paper deals with customers’ impatience behaviour for single server Markovian queueing system under K-variant working vacation policy, waiting server, Bernoulli feedback, balking, reneging, and retention of reneged customers. Using the probability generating function (PGF) technique, we obtain the steady-state solution of the system. Besides, we prove the stochastic decomposition properties. Useful performance measures of the considered queueing system are derived. A cost model is developed. Then, the parameter optimisation is carried out numerically, using a quadratic fit search method (QFSM). Finally, numerical examples are provided to visualise the analytical results.
Physical description
  • Department of Mathematics, Djillali Liabes University of Sidi Bel Abbes, BP 89 Sidi Bel Abbes 22000-Algeria
  • The University Moulay Tahar of Saida, BP 138 cité ENNASR 20000, Saida, Algeria
  • The University Moulay Tahar of Saida, BP 138 cité ENNASR 20000, Saida, Algeria
  • Government Degree College Mendhar, Poonch, Jammu and Kashmir, India
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