. Dispatching System. Items arrive at a depot (warehouse or computer) at times that form a renewal process with finite mean μ between arrivals. Whenever M items accumulate, they are instantaneously...

. Dispatching System. Items arrive at a depot (warehouse or computer) at times that form a renewal process with finite mean μ between arrivals. Whenever M items accumulate, they are instantaneously removed (dispatched) from the depot. Let X(t) denote the number of items in the depot at time t. Find the limiting probability that there are pj items in the system (j = 0,...,M − 1). Find the average number of items in the system over an infinite time horizon.