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

Yang Woo Shin () and Dug Hee Moon ()
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Yang Woo Shin: Department of Statistics, Changwon National University, Changwon, Gyeongnam 641-773, Korea
Dug Hee Moon: Department of Industrial and Systems Engineering, Changwon National University, Changwon, Gyeongnam 641-773, Korea

Asia-Pacific Journal of Operational Research (APJOR), 2014, vol. 31, issue 02, 1-21

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: PH/PH/c retrial queue; GI/G/c retrial queue; PH-retrial time; approximation (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1142/S0217595914400107

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