M/M/c Retrial Queue with Multiclass of Customers

Yang Woo Shin () and Dug Hee Moon ()
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Yang Woo Shin: Changwon National University
Dug Hee Moon: Changwon National University

Methodology and Computing in Applied Probability, 2014, vol. 16, issue 4, 931-949

Abstract: Abstract We consider the M/M/c retrial queues with multiclass of customers. We show that the stationary joint distribution for the number of customers in service facility and orbit converges to those of the ordinary M/M/c with discriminatory random order service (DROS) policy as retrial rate tends to infinity. Approximation formulae for the distributions of the number of customers in service facility, the mean number of customers in orbit and the sojourn time distribution of a customer are presented. The approximations are compared with exact and simulation results.

Keywords: Retrial queue; Multiclass customers; Discriminatory random order service; Approximation; 60K25; 60J27 (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/s11009-013-9340-0

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