Open Problems
Multiplicative state space collapse for other types of networks
- static priority discipline (Bramson-Dai)
Other service disciplines
Optimal control
- use of heavy traffic approximations for optimal scheduling and routing
(Harrison ‘88, Harrison-Wein ‘89, Kelly-Laws ‘93….;
Martins-Shreve-Soner ‘96, Harrison ‘98, Kushner-
Chen ‘98, S. Kumar ‘98, Bell-W ‘99)