Required Text
Notes by Prof. Dimitris Bertsimas are used in lieu of a textbook.
Papers
Halfin, Shlomo, and Ward Whitt. "Heavy-Traffic Limits for Queues with Many Exponential Servers." Operations Research 29, no. 3 (1981): 567-588.
Additional References
Kleinrock, Leonard. Queueing Systems. New York, NY: John Wiley & Sons, 1975-1976. ISBN: 0471491101.
Kelly, Frank P. Reversibility and Stochastic Networks. New York, NY: John Wiley & Sons, 1979. ISBN: 0471276014.
Chen, Hong, and David Yao. Fundamentals of Queueing Networks: Performance, Asymptotics, and Optimization. New York, NY: Springer-Verlag, 2001. ISBN: 0387951660.
LEC # | TOPICS | READINGS |
---|---|---|
1 | Fundamental Insights: The M/M/s Type Systems | Chapter 1 |
2 | Little's Law and Generalizations | Chapter 2 |
3 | Distributional Laws | Chapter 2 |
4 | Conservation Laws | Chapter 2 |
5 | PASTA | Chapter 2 |
6 | Systems with No Overtaking: Exact Solutions | Chapter 3 |
7 | Systems with No Overtaking: Asymptotic Solutions | Chapter 3 |
8 | Priority, Polling Systems | Chapter 3 |
9 | Multiserver Queues | Chapter 4 |
10 | Queues in Halfin-Whitt Regime Applications to Call Centers |
Papers |
11 | Open Jackson Networks | Chapter 5 |
12 | Closed Jackson Networks | Chapter 5 |
13 | Multiclass Networks | Chapter 6 |
14 | Adversarial Queueing Networks I | Papers |
15 | Adversarial Queueing Networks II | Papers |
16 | Transient Behavior of Queueing Systems | Chapter 7 |
17 | Fluid Models of Queueing Systems I | Papers and Notes |
18 | Fluid Models of Queueing Systems II | Papers and Notes |
19 | Stability of Queueing Networks | Chapter 8 |
20 | Optimization of Queueing Systems | Chapter 9 |
21 | Optimization of Multiclass Networks and Fluid Models | Chapter 10 |
22 | Queues in Heavy Traffic | Chapter 11 |
23 | Multiclass Networks in Heavy Traffic | Chapter 11 |
24 | Long Range Dependence | Notes |
25 | Large Deviations and Queues | Chapter 13 |
26 | Take Home Final Exam Period |