Queue With Vacation Time And Customers With Prioriority

Based on the existing research harvest of queueing system with server vacation and customs with prioriority , this paper study two typical queueing systems with exhaustive service and customs with prioriority, we obtain the following indexes:1 M⁽¹⁾ + M⁽²⁾/ G /1 multiple vacation queueing with set-up periods and customers with prioriorityWe consider a M⁽¹⁾ + M⁽²⁾/ G /1queueing model with multiple vacation and set-up time.We derive the generating function and the stochastic decomposition of the steady queue length ,and the LST and the stochastic decomposition of waiting time distributions ,and calculate the LST of the busying period,vacation and set-up time etc.2 M⁽¹⁾ + M⁽²⁾/ G /1 single vacation queueing with set-up periods and customers with prioriorityWe consider a M⁽¹⁾ + M⁽²⁾/ G /1queueing model with single vacation and set-up time.We derive the generating function and the stochastic decomposition of the steady queue length ,and the LST and the stochastic decomposition of waiting time distributions ,and calculate the LST of the busying period,vacation and set-up time etc.