Continuous feedback fluid queues

UvA - DARE ( Digital Academic Repository ) Continuous feedback fluid queues

We investigate a fluid buffer which is modulated by a stochastic background process, while the momentary behavior of the background process depends on the current buffer level in a continuous way. Loosely speaking the feedback is such that the background process behaves `as a continuous-time Markov chain' with generator Q(y) at times when the buffer level is y, where the entries of Q(y) are con...

Analysis of tandem fluid queues

We consider a model consisting of two fluid queues driven by the same background continuous-time Markov chain, such that the rates of change of the fluid in the second queue depend on whether the first queue is empty or not. We analyse this tandem model using operator-analytic methods.

Markov-modulated and feedback fluid queues

Contents Voorwoord v Contents vii 1 Introduction 1 1.

Models of Network Access Using Feedback Fluid Queues

Longest Path in Networks of Queues in the Steady-State

Due to the importance of longest path analysis in networks of queues, we develop an analytical method for computing the steady-state distribution function of longest path in acyclic networks of queues. We assume the network consists of a number of queuing systems and each one has either one or infinite servers. The distribution function of service time is assumed to be exponential or Erlang. Fu...