Performance and economic analysis of a single server feedback queueing model with vacation and impatient customers

Amina Angelika Bouchentouf (), Mouloud Cherfaoui () and Mohamed Boualem ()
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Amina Angelika Bouchentouf: Djillali Liabes University of Sidi Bel Abbes
Mouloud Cherfaoui: University of Bejaia
Mohamed Boualem: University of Bejaia

OPSEARCH, 2019, vol. 56, issue 1, No 14, 300-323

Abstract: Abstract In this investigation, a single server M/M/1/N feedback queueing system with vacation, balking, reneging and retention of reneged customers is analyzed. By considering the mathematical modeling, we derive the steady state probabilities of the number of customers in the system. We obtain important measures of effectiveness of the model by using the stationary distribution, and develop a cost model of the queueing system. Further, a numerical study and a cost profit analysis are carried out.

Keywords: Queueing models; Balking; Reneging; Retention of reneged customers; Bernoulli feedback; Economic analysis; 60K25; 68M20; 90B22 (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (9)

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Persistent link: https://EconPapers.repec.org/RePEc:spr:opsear:v:56:y:2019:i:1:d:10.1007_s12597-019-00357-4

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DOI: 10.1007/s12597-019-00357-4

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