Comparison of Confidence Interval Based on Bootstrap Method for the Mean Response time in a Simulation Study

Document Type : Original Paper


Department of Mathematics, Maku Branch, Islamic Azad University


The mean response time plays an important role in the analyzing and optimizing the queuing system which determines the number and type of giving service. In this paper, new confidence intervals of mean response time for an M/G/1 FCFS queuing system is contrasted based on the nonparametric delta method and five bootstrap methods. These methods include: nonparametric delta method confidence interval based on the influence function, standard bootstrap confidence interval, percentile bootstrap confidence interval, bootstrap-t confidence interval, bias corrected and acceleration bootstrap confidence interval and bootstrap pivotal confidence interval. In a simulation study, these six methods are compared and evaluated the accuracy and performance of the confidence intervals for three different M/G/1 FCFS queuing systems based on the coverage percentage and the average length of confidence intervals.


Main Subjects

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  • Receive Date: 13 January 2014
  • Revise Date: 14 September 2014
  • Accept Date: 24 September 2014
  • First Publish Date: 24 September 2014