For the discrete-time bulk service queueing model, the mean and variance of the steady-state queue length can be expressed in terms of moments of the arrival distribution and series of the zeros of a characteristic equation. In this paper we investigate the behaviour of these series. In...

We study the problem of optimally controlling a multiserver queueing system. Customers arrive in a Poisson fashion and join a single queue, served by N servers, S <Subscript>1</Subscript>,S <Subscript>2</Subscript>,… , S <Subscript>N</Subscript>. The servers have different rates. The service times at each server are independent and exponentially distributed....</subscript></subscript></subscript>

The maximum packing (MP) policy for dynamic channel assignment in cellular radio communication systems specifies that a new call attempt is admitted whenever there is some way of rearranging channels so that every call can be carried. Otherwise the call is blocked and removed from the system. We...

This paper uses linear programming to numerically evaluate the Laplace transform of the exit time distribution and the resolvent of the moments of various Markov processes in bounded regions. The linear programming formulation is developed from a martingale characterization of the processes and...