We study the optimal control of a queueing system with Poisson input and a server capable of serving an infinite number of customers per batch. It is known that the optimal type of control policy is a control limit policy: service should begin if and only if the number of waiting customers is at...

We consider the problem of determining the optimal operating policy of a two terminal shuttle with fixed capacity Q \le \infty . The passengers arrive at each terminal according to Poisson processes and are transported by a single carrier operating between the terminals. The interterminal travel...