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2020 | 30 | 4 | 5-28
Article title

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

Content
Title variants
Languages of publication
EN
Abstracts
EN
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.
Year
Volume
30
Issue
4
Pages
5-28
Physical description
Contributors
  • 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
author
  • The University Moulay Tahar of Saida, BP 138 cité ENNASR 20000, Saida, Algeria
author
  • Government Degree College Mendhar, Poonch, Jammu and Kashmir, India
References
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Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.desklight-f6a6f6d3-a430-47f6-8a52-9e6159575112
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