This paper shows that in the G/M/1 queueing model, conditioning on a busy server, the age of the inter-arrival time and the number of customers in the queue are independent. The same is the case when the age is replaced by the residual inter-arrival time or by its total value. Explicit...

This paper shows that in the G/M/1 queueing model, conditioning on a busy server, the age of the inter-arrival time and the number of customers in the queue are independent. The same is the case when the age is replaced by the residual inter-arrival time or by its total value. Explicit...

This paper studies a single removable server in a finite capacity G/M/1/K queueing system with combined N policy and a exponential startup before each service period. We provide a recursive method, using the supplementary variable technique and treating the supplementary variable as the...

This paper studies a single removable server in a finite capacity G/M/1/K queueing system with combined N policy and a exponential startup before each service period. We provide a recursive method, using the supplementary variable technique and treating the supplementary variable as the...