STATIONARY QUEUE-SIZE DISTRIBUTION IN M/G/2 NON-PREEMPTIVE LIFO QUEUE WITH RESAMPLING

Consideration given to the M/G/2 non-preemtptive last in-first our queue with resampling. There are two servers working in parallel and an infinite buffer, whereto jobs arrive according to a Poisson arrival process with rate A. The customers are served from the queue one by one, service times are independent and have a general absolute continuous distribution B(x). Each arriving customer resamples the service time of each customer in service (if there are any) from distribution B(x). If both servers are busy upon arrival of a new customer, the resampling is done independently for each of the servers. Moments of the stationary system size and moments of the stationary sojourn time are of primary interest.