This paper adopts an M/G/1 retrial queueing system with imperfect coverage and reboot delay.When the system detects an arrival,it will immediately process the arrival.On the other hand,if the arrivals are not detected...This paper adopts an M/G/1 retrial queueing system with imperfect coverage and reboot delay.When the system detects an arrival,it will immediately process the arrival.On the other hand,if the arrivals are not detected,the system will get into an abnormal state until it is restarted.Using the supplementary variable approach,the stationary probability generating function for the number of retrial arrivals and performance measures are derived.For illustration purposes and to study the impact of system parameters on performance measures,a real-world case of the data transmission mechanism for renewable energy power plants is presented to perform the optimisation analysis.Optimisation analysis is implemented to determine the optimum service rate to minimise the mean operating cost and the mean time of an arrival spent in the system.展开更多
文摘This paper adopts an M/G/1 retrial queueing system with imperfect coverage and reboot delay.When the system detects an arrival,it will immediately process the arrival.On the other hand,if the arrivals are not detected,the system will get into an abnormal state until it is restarted.Using the supplementary variable approach,the stationary probability generating function for the number of retrial arrivals and performance measures are derived.For illustration purposes and to study the impact of system parameters on performance measures,a real-world case of the data transmission mechanism for renewable energy power plants is presented to perform the optimisation analysis.Optimisation analysis is implemented to determine the optimum service rate to minimise the mean operating cost and the mean time of an arrival spent in the system.
