M/M/1 Feedback Queue Subject to Catastrophe and Repairment

Authors

  • Badamchizadeh, Abdolrahim
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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