Table of Contents
MULTICLASS QUEUEING NETWORKS AND REFLECTING DIFFUSIONS
QUEUEING NETWORKS
OUTLINE
Multiclass FIFO Station
Heavy Traffic Limit for Multiclass FIFO Station
State space collapse
OUTLINE
Multiclass Queueing Network with Feedback
Multiclass Queuing Network: Model Equations
Heavy Traffic
SRBM Approximations for Queueing Networks
OUTLINE
SRBM Data
Stochastic Approach (SRBM)
Weak Existence and Uniqueness
Oscillation Inequality
OUTLINE
Dai-Wang (‘93) Type Example (FIFO, multiclass + feedback)
Stability of Multiclass FIFO Networks
OUTLINE
A Sequence of Networks in Heavy Traffic
State Space Collapse
Reduced Form of Model Assuming MSSC
New Sufficient Conditions for a HT Limit Theorem
Dai-Wang-Wang example
Open Problems
|