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Approximation of M/G/c Retrial Queue with M/PH/c Retrial Queue

  • Shin, Yang-Woo (Department of Statistics, Changwon National University) ;
  • Moon, Dug-Hee (Department of Industrial and Systems Engineering, Changwon National University)
  • Received : 20110900
  • Accepted : 20111000
  • Published : 2012.01.30

Abstract

The sensitivity of the performance measures such as the mean and the standard deviation of the queue length and the blocking probability with respect to the moments of the service time are numerically investigated. The service time distribution is fitted with phase type(PH) distribution by matching the first three moments of service time and the M/G/c retrial queue is approximated by the M/PH/c retrial queue. Approximations are compared with the simulation results.

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Cited by

  1. ON APPROXIMATIONS FOR GI/G/c RETRIAL QUEUES vol.31, pp.1_2, 2013, https://doi.org/10.14317/jami.2013.311