MULTICLASS QUEUEING NETWORKS AND REFLECTING DIFFUSIONS

4/26/99


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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

Author: Williams