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APPROXIMATION OF PH/PH/c RETRIAL QUEUE WITH PH-RETRIAL TIME

YANG WOO SHIN

Department of Statistics, Changwon National University, Changwon, Gyeongnam 641-773, Korea

Corresponding author.

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and

DUG HEE MOON

Department of Industrial and Systems Engineering, Changwon National University, Changwon, Gyeongnam 641-773, Korea

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https://doi.org/10.1142/S0217595914400107Cited by:6 (Source: Crossref)

Abstract

We consider the PH/PH/c retrial queues with PH-retrial time. Approximation formulae for the distribution of the number of customers in service facility, sojourn time distribution and the mean number of customers in orbit are presented. We provide an approximation for GI/G/c retrial queue with general retrial time by approximating the general distribution with phase type distribution. Some numerical results are presented.

Keywords:

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