We derive performance measures for burst arrival (e.g. messages of variable length packets) M K /G/1 queues with server vacations, controlled by the, so called, Randomly Timed Gated (RTG) protocol, operating as follows: Whenever the server returns from a (general-type) vacation and initiates a...

This paper considers a like-queue production system in which server vacations and breakdowns are possible. The decision-maker can turn a single server on at any arrival epoch or off at any service completion. We model the system by an M [x] /M/1 queueing system with N policy. The server can be...

A new batch service discipline is introduced that allows for customers of different classes to leave together in one batch. This so-called general batch service discipline is discussed for servers with signals and class-independent or class-dependent exponential service times. The equilibrium...

The purpose of this paper is to investigate the structural properties of the optimal batch acceptance policy in a Markovian queueing system where different classes of customers arrive in batches and the buffer capacity is finite. We prove that the optimal policy can possess certain monotonicity...