Difference between revisions of "Syllabus"
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| 8/25 || Course overview, logistics, (motivating) examples and terminology || Chapters 1 & 2 ||[[Media:chapter0.pdf | Notes 0]]<br/>[[Media:Lecture1_nomenclature.pptx | Slides 1]] || Problems 2.1 & 2.2<br/>[[Media:review1_sol.pdf | and Solution]] || | | 8/25 || Course overview, logistics, (motivating) examples and terminology || Chapters 1 & 2 ||[[Media:chapter0.pdf | Notes 0]]<br/>[[Media:Lecture1_nomenclature.pptx | Slides 1]] || Problems 2.1 & 2.2<br/>[[Media:review1_sol.pdf | and Solution]] || | ||
|- | |- | ||
| − | | 8/27 || A brief review of probability topics, both basic and slightly more advanced, which are needed in the course || Chapters 3 & 5 || [[Media:proba1.pptx | Slides 2]]<br/>[[Media:Lec2.pdf | Lecture 2 problems]] ||[[Media:review2.pdf | Review 2 Problems]]<br/> and [[Media:rev2_sol.pdf | Solution]] || | + | | 8/27 || A brief review of probability topics, both basic and slightly more advanced, which are needed in the course || Chapters 3 & 5 || [[Media:proba1.pptx | Slides 2]]<br/> and [[Media:Lec2.pdf | Lecture 2 problems]] ||[[Media:review2.pdf | Review 2 Problems]]<br/> and [[Media:rev2_sol.pdf | Solution]] || |
|- | |- | ||
| 9/1 || A brief review of probability topics, both basic and slightly more advanced, which are needed in the course || Chapters 3 & 5 || [[Media:proba2.pptx | Slides 3]] || [[Media:review3.pdf | Review 3 Problems]]<br/> and [[Media:rev3_sol.pdf | Solution]] || | | 9/1 || A brief review of probability topics, both basic and slightly more advanced, which are needed in the course || Chapters 3 & 5 || [[Media:proba2.pptx | Slides 3]] || [[Media:review3.pdf | Review 3 Problems]]<br/> and [[Media:rev3_sol.pdf | Solution]] || | ||
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| 9/17 || Some more on ergodicity & a brief review of ''z''-transforms || Chapter 9 & Chapter 25 (the parts about ''z''-transforms) || [[Media:z-transforms.pptx | Slides 6]] || [[Media:review8.pdf | Review 8 Problems]]<br/> and [[Media:rev8_sol.pdf | Solution]] || | | 9/17 || Some more on ergodicity & a brief review of ''z''-transforms || Chapter 9 & Chapter 25 (the parts about ''z''-transforms) || [[Media:z-transforms.pptx | Slides 6]] || [[Media:review8.pdf | Review 8 Problems]]<br/> and [[Media:rev8_sol.pdf | Solution]] || | ||
|- | |- | ||
| − | | 9/22 || Application examples (page rank & Aloha protocol) including applications of ''z''-transforms|| Chapter 10 || [[Media:DTMC_examples.pptx | Slides 7]]<br/>[[Media:Lec10.pdf | Lecture 10 problem]] || [[Media:review9.pdf | Review 9 Problems]]<br/> and [[Media:rev9_sol.pdf | Solution]] || | + | | 9/22 || Application examples (page rank & Aloha protocol) including applications of ''z''-transforms|| Chapter 10 || [[Media:DTMC_examples.pptx | Slides 7]]<br/> and [[Media:Lec10.pdf | Lecture 10 problem]] || [[Media:review9.pdf | Review 9 Problems]]<br/> and [[Media:rev9_sol.pdf | Solution]] || |
|- | |- | ||
|style="background-color: SpringGreen;"| 9/24 || Exponential distribution and Poisson process || Chapter 11 || [[Media:Poisson+exponential.pptx | Slides 8]]|| [[Media:review10.pdf | Review 10 Problems]]<br/> and [[Media:rev10_sol.pdf | Solution]] ||style="background-color: SpringGreen;"| [[Media:hwk2.pdf |HWK #2]]<br/> and [[Media:hwk2_sol.pdf | Solution]] | |style="background-color: SpringGreen;"| 9/24 || Exponential distribution and Poisson process || Chapter 11 || [[Media:Poisson+exponential.pptx | Slides 8]]|| [[Media:review10.pdf | Review 10 Problems]]<br/> and [[Media:rev10_sol.pdf | Solution]] ||style="background-color: SpringGreen;"| [[Media:hwk2.pdf |HWK #2]]<br/> and [[Media:hwk2_sol.pdf | Solution]] | ||
Revision as of 14:36, 23 October 2015
Syllabus & (tentative) Schedule
THE INFORMATION ON THIS WIKI PAGE IS EVOLVING AND WILL BE UPDATED THROUGHOUT SEMESTER
Schedule at-a-glance
Legend: date (quizzes & exams) and due date (homeworks)
| Hmwk | Quizz | Exam | No class |
|---|---|---|---|
| Tu. | Th. | Tu. | Th. | Tu. | Th. | Tu. | Th. | Tu. | Th. | |
|---|---|---|---|---|---|---|---|---|---|---|
| August | 25 | 27 | ||||||||
| September | 1 | 3 | 8 | 10 | 15 | 17 | 22 | 24 | 29 | |
| October | 1 | 6 | 8 | 13 | 15 | 20 | 22 | 27 | 29 | |
| November | 3 | 5 | 10 | 12 | 17 | 19 | 24 | 26 | ||
| December | 1 | 3 | 15 |
FINAL EXAM: Tuesday December 15, 2015, 6:00-8:00pm Bryan 509D, i.e., the same room where we had our midterm.
Detailed Schedule & Syllabus
NOTE: This schedule in ONLY TENTATIVE, and VERY LIKELY to change as certain topics may end-up being harder or easier than anticipated. Changes to the schedule will be reflected as quickly as possible on this page.
| Date | Scope | Material & Reading Assignments
(To Be Read Ahead of Class) |
Notes & slides
(If any) |
Review Problems | Quizzes & Homeworks |
|---|---|---|---|---|---|
| 8/25 | Course overview, logistics, (motivating) examples and terminology | Chapters 1 & 2 | Notes 0 Slides 1 |
Problems 2.1 & 2.2 and Solution |
|
| 8/27 | A brief review of probability topics, both basic and slightly more advanced, which are needed in the course | Chapters 3 & 5 | Slides 2 and Lecture 2 problems |
Review 2 Problems and Solution |
|
| 9/1 | A brief review of probability topics, both basic and slightly more advanced, which are needed in the course | Chapters 3 & 5 | Slides 3 | Review 3 Problems and Solution |
|
| 9/3 | An introduction of general principles such as Little's Law and various other "laws" and bounds for closed system, which hold with little or no assumptions | Chapters 6 & 7 | Slides 4 | Review 4 Problems and Solution |
|
| 9/8 | A first foray into Markov chain focused on finite Markov chains and their applications to simple problems. | Chapter 8 (Sections 8.1 to 8.7) | Slides 5 | Review 5 Problems and Solution |
|
| 9/10 | Infinite Markov chains and some simple applications | Chapter 8 (Sections 8.8 to 8.10) | Slides 5 | Review 6 Problems and Solution |
HWK #1 and Solution |
| 9/15 | Ergodicity for finite and infinite, discrete time Markov chains (DTMC) | Chapter 9 | Slides 5 | Review 7 Problems and Solution |
Quiz 1 and Solution |
| 9/17 | Some more on ergodicity & a brief review of z-transforms | Chapter 9 & Chapter 25 (the parts about z-transforms) | Slides 6 | Review 8 Problems and Solution |
|
| 9/22 | Application examples (page rank & Aloha protocol) including applications of z-transforms | Chapter 10 | Slides 7 and Lecture 10 problem |
Review 9 Problems and Solution |
|
| 9/24 | Exponential distribution and Poisson process | Chapter 11 | Slides 8 | Review 10 Problems and Solution |
HWK #2 and Solution |
| 9/29 | Introduction to continuous time Markov chains (CTMC) | Chapter 12 | Slides 9 | Review 11 Problems and Solution |
|
| 10/1 | M/M/1 queue & PASTA theorem | Chapter 13 | Slides 9 and Slides 8 (for PASTA) Lecture 13 problems |
Review 12 Problems and Solution |
|
| 10/6 | M/M/k/k (Erlang-B formula) and M/M/k queueing systems | Chapter 14 | Slides 9 | Review 13 Problems and Solution |
Quiz 2 and Solution |
| 10/8 | Applications to system provisioning | Chapter 15 + Sections 8.11 & 8.12 of Zukerman's book (Hayward approximation and Equivalent Random Theory) | Slides 10 | Review 14 Problems and Solution |
HWK #3 and Solution |
| 10/13 | Revisiting time reversibility and applications to network of queues | Chapter 16 | Slides 11 | Review 15 Problems and Solution |
|
| 10/15 | IN CLASS MIDTERM | AND SOLUTION | |||
| 10/20 | Jackson networks (of queues) and product form distribution | Chapter 17 | Slides 11 and Lecture 17 problems |
Review 16 Problems and Solution |
|
| 10/22 | Classed Jackson networks | Chapter 18 | Slides 11 and Lecture 18 problems |
Review 17 Problems and Solution |
|
| 10/27 | Closed Jackson networks & mean value analysis (MVA) | Chapter 19 | Slides 11 | Review 18 Problems | HWK #4 |
| 10/29 | A quick introduction to Matrix-Analytic techniques and phase-type distributions | Chapter 21 | |||
| 11/3 | Processor sharing queues | Chapter 22 | Quiz 3 | ||
| 11/5 | The M/G/1 queue and Renewal-Reward theorem | Chapter 23 | |||
| 11/10 | A brief foray into server assignment policies | Chapter 24 | HWK #5 | ||
| 11/12 | Transform analysis of M/G/1 queue (and review of transforms) | Chapter 25 and Chapter 26 (Section 1) | |||
| 11/17 | M/G/1 queue and application to power optimization | Chapter 26 (Section 2) and Chapter 27 (Sections 1 and 2) | |||
| 11/19 | M/G/1 queue with setup and non-preemptive scheduling priorities | Chapter 27 (Section 3) and Chapter 31 | |||
| 11/24 | More on smart scheduling policies | Chapters 28 & 29 | HWK #6 | ||
| 11/26 | NO CLASS - THANKSGIVING | ||||
| 12/1 | Preemptive scheduling policies | Chapter 30 (and Chapter 32 as time permits) | |||
| 12/3 | Review session | - | - | - | Quiz 4 |
| 12/15 | FINAL EXAM (in Bryan 509D) | i.e., the same room where we had our midterm. |
