:: Volume 22, Issue 1 (12-2017) ::
Andishe 2017, 22(1): 27-36 Back to browse issues page
M/M/1 Feedback Queue Subject to Catastrophe and Repairment
Majid Abiar , Abdolrahim Badamchizadeh
Abstract:   (1603 Views)

‎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.

Keywords: ‎transient analysis‎, ‎steady analysis‎, ‎feedback‎, ‎performance measures‎, ‎simulating‎.
Full-Text [PDF 428 kb]   (516 Downloads)    
Type of Study: Applicable | Subject: Special
Received: 2015/06/5 | Accepted: 2017/12/16 | Published: 2017/12/16


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Volume 22, Issue 1 (12-2017) Back to browse issues page