# Estimation Approaches of Mean Response Time for a Two Stage Open Queueing Network Model

### Abstract

In the analysis of queueing network models, the response time plays an important role in studying the various characteristics. In this paper data based recurrence relation is used to compute a sequence of response time. The sample means from those response times, denoted by $\hat {r_1} $ and $ \hat {r_2}$ are used to estimate true mean response time $r_1$ and $r_2$. Further we construct some confidence intervals for mean response time $r_1$ and $r_2$ of a two stage open queueing network model. A numerical simulation study is conducted in order to demonstrate performance of the proposed estimator $ \hat {r_1} $ and $ \hat {r_2}$ and bootstrap confidence intervals of $ r_1$ and $r_2$. Also we investigate the accuracy of the different confidence intervals by calculating the coverage percentage, average length, relative coverage and relative average length.### References

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*Statistics, Optimization & Information Computing*,

*3*(3), 249-258. https://doi.org/10.19139/soic.v3i3.79

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