Solving Multi-Regime Feedback Fluid Queues

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 Markov process’ with generator at times when the buffer level is , where the entries of are continuous functions of . Mo...

Markov-modulated and feedback fluid queues

Contents Voorwoord v Contents vii 1 Introduction 1 1.

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...

Models of Network Access Using Feedback Fluid Queues

Two fluid approximations for multi-server queues with abandonments

Insight is provided into a previously developed M/M/s/r + M(n) approximation for the M/GI/s/r + GI queueing model by establishing fluid and diffusion limits for the approximating model. Fluid approximations for the two models are compared in the many-server efficiency-driven (overloaded) regime. The two fluid approximations do not coincide, but they are close. Short title: Fluid Approximations