M/M/1 Feedback Queue Subject to Catastrophe and Repairment
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Abstract:
In this paper, an M/M/1 queue with instantaneous Bernoulli feedback is studied in the event of server failure, the catastrophe occurs and after repair, it starts to work again. The transient response for the probability function of the system size is presented. The steady state analysis of system size probabilities and some performance measures of system are provided. Then the results are used to consider the performance of an ATM. Then to observe and optimize the performace of the ATM, we illustrate the effects of changing parameters on system performance measures. At last, we simulate the system by using the R application. Then we compare its results with expected results.
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Journal title
volume 22 issue 1
pages 27- 36
publication date 2017-12
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