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Queues: Theory and Applications >> Content Detail



Study Materials



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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


Amazon logo Kleinrock, Leonard. Queueing Systems. New York, NY: John Wiley & Sons, 1975-1976. ISBN: 0471491101.

Amazon logo Kelly, Frank P. Reversibility and Stochastic Networks. New York, NY: John Wiley & Sons, 1979. ISBN: 0471276014.

Amazon logo Chen, Hong, and David Yao. Fundamentals of Queueing Networks: Performance, Asymptotics, and Optimization. New York, NY: Springer-Verlag, 2001. ISBN: 0387951660.


LEC #TOPICSREADINGS
1Fundamental Insights: The M/M/s Type SystemsChapter 1
2Little's Law and GeneralizationsChapter 2
3Distributional LawsChapter 2
4Conservation LawsChapter 2
5PASTAChapter 2
6Systems with No Overtaking: Exact SolutionsChapter 3
7Systems with No Overtaking: Asymptotic SolutionsChapter 3
8Priority, Polling SystemsChapter 3
9Multiserver QueuesChapter 4
10Queues in Halfin-Whitt Regime

Applications to Call Centers
Papers
11Open Jackson NetworksChapter 5
12Closed Jackson NetworksChapter 5
13Multiclass NetworksChapter 6
14Adversarial Queueing Networks IPapers
15Adversarial Queueing Networks IIPapers
16Transient Behavior of Queueing SystemsChapter 7
17Fluid Models of Queueing Systems IPapers and Notes
18Fluid Models of Queueing Systems IIPapers and Notes
19Stability of Queueing NetworksChapter 8
20Optimization of Queueing SystemsChapter 9
21Optimization of Multiclass Networks and Fluid ModelsChapter 10
22Queues in Heavy TrafficChapter 11
23Multiclass Networks in Heavy TrafficChapter 11
24Long Range DependenceNotes
25Large Deviations and QueuesChapter 13
26Take Home Final Exam Period

 








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