Chapter 6. Advanced Queueing Networks

 

6.1 Mixed Queueing Networks

6.2 The GI/G/m Approximation for the Approximate Analysis of Open Queueing Networks (The QNA Technique)

6.2.1 Network Reconfiguration by Immediate Feedback Removal

6.2.2 Calculating the Parameters (Mean and SQV) of the Internal Flows

6.2.3 Output Parameter Calculations for the Node Qi

6.3 Fork/Join Queues in Open and Closed Networks of Infinite Capacity Queues

6.3.1 Fork/Join Node without Synchronising Queues in Open or Closed Networks of Infinite Capacity Queues

6.3.2 Fork/Join Node with Synchronising Queues in Closed Networks of Infinite Capacity Queues

6.4 Models of Blocking in Open and Closed Networks of Finite Capacity Queues

6.4.1 Rejection Blocking

6.4.2 Transfer Blocking

6.4.3 Repetitive Service - Random Destination or Fixed Destination

6.4.4 Blocking-Before-Service

6.5 Approximate Analytical Methods for Solving Closed Networks of Finite Capacity Queues

6.5.1 Transfer Blocking

6.5.2 Repetitive Service (RS) Blocking

6.6 Approximate Analytical Methods for Solving Open Networks of Finite Capacity Queues

6.6.1 Rejection Blocking

6.6.2 Repetitive Service Blocking

6.6.3 Transfer Blocking

Appendix 6.1: The Generalised Exponential Distribution