Transient analysis of a Markovian queuing model with multiple-heterogeneous servers, and customers’ impatience

Rakesh Kumar () and Sapana Sharma ()
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Rakesh Kumar: Shri Mata Vaishno Devi University
Sapana Sharma: Shri Mata Vaishno Devi University

OPSEARCH, 2021, vol. 58, issue 3, No 2, 540-556

Abstract: Abstract A Markovian queuing system with multiple-heterogeneous servers, reneging and retention of reneging customers is studied. The transient analysis of the model is performed using probability generating function technique. Important measures of performance like expected system size, average reneging rate and average retention rate are presented. The transient behavior of state probabilities is studied numerically. The transient behavior of performance measures is also studied. Further, a comparative analysis is performed which shows that the multiple-heterogeneous servers queuing model performs better than the multiple-homogeneous servers queuing model. Finally, the steady-state solution of the model is also obtained.

Keywords: Heterogeneous servers; Transient analysis; Queuing model; Customers’ impatience; Probability generating function (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s12597-020-00495-0

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