MARKOV MODULATED FLUID QUEUES WITH BATCH FLUID ARRIVALS

Markov-modulated and feedback fluid queues

Contents Voorwoord v Contents vii 1 Introduction 1 1.

Moments of a Markov-modulated, Irreducible Network of Fluid Queues

We study a network of fluid queues in which exogenous arrivals are modulated by a continuous-timeMarkov chain. Service rates in each queue are proportional to the queue size, and the network is assumed to be irreducible. Thequeue levels satisfy a linear, vectorvalued differential equation. We obtain joint moments of the queue sizes recursively, and deduce the Laplace transform of the queue size...

Discrete-time Priority Queues with Two-state Markov Modulated Arrivals

A class of discrete-time priority queueing systems with Markov modulated arrivals is considered. In these systems, N queues are served by a single server according to priorities that are preassigned to the queues. Packet arrivals are modeled as discrete-time batch processes with a distribution that depends on the state of an independent common two-state Markov chain. This allows to cover a wide...

Markov Modulated Linear Fluid

Markov Modulated Linear Fluid