Difference between revisions of "Syllabus"
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| 10/20 || Revisiting time reversibility and applications to network of queues || Chapter 16 || [[Media:Burke_and_reversibility.pptx | Slides 11]] || [[Media:review15.pdf | Review 15 Problems]] <!-- <br/> and [[Media:review15_sol.pdf | Solution]] --> || | | 10/20 || Revisiting time reversibility and applications to network of queues || Chapter 16 || [[Media:Burke_and_reversibility.pptx | Slides 11]] || [[Media:review15.pdf | Review 15 Problems]] <!-- <br/> and [[Media:review15_sol.pdf | Solution]] --> || | ||
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− | |style="background-color: yellow;"| 10/25 || style="background-color: yellow;"| [[Media: | + | |style="background-color: yellow;"| 10/25 || style="background-color: yellow;"| [[Media:Midterm_2017.pdf | '''IN CLASS MIDTERM''']] ||style="background-color: yellow;"| <!-- AND [[Media:Midterm_sol_2016.pdf | '''SOLUTION''']] --> ||style="background-color: yellow;"| ||style="background-color: yellow;"| ||style="background-color: yellow;"| |
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| 10/27 || Jackson networks (of queues) and product form distribution || Chapter 17 || [[Media:Burke_and_reversibility.pptx | Slides 11]]<br/> and [[Media:Lecture16.pdf | Lecture 16 problems]] || [[Media:review16.pdf | Review 16 Problems]] <!== <br/> and [[Media:review16_sol.pdf | Solution]] --> || | | 10/27 || Jackson networks (of queues) and product form distribution || Chapter 17 || [[Media:Burke_and_reversibility.pptx | Slides 11]]<br/> and [[Media:Lecture16.pdf | Lecture 16 problems]] || [[Media:review16.pdf | Review 16 Problems]] <!== <br/> and [[Media:review16_sol.pdf | Solution]] --> || |
Revision as of 15:41, 5 September 2017
Contents
Syllabus & (tentative) Schedule
THE INFORMATION ON THIS WIKI PAGE MAY BE UPDATED THROUGHOUT SEMESTER. PLEASE CHECK IT REGULARLY
Schedule at-a-glance
Class times and location: Tuesday & Thursday, 10:00am-11:30am in Lopata 103.
Legend: date (quizzes & exams) and due date (homeworks)
Hmwk | Quizz | Exam | No class |
---|---|---|---|
Tu. | Th. | Tu. | Th. | Tu. | Th. | Tu. | Th. | Tu. | Th. | |
---|---|---|---|---|---|---|---|---|---|---|
August | 30 | |||||||||
September | 1 | 6 | 8 | 13 | 15 | 20 | 22 | 27 | 29 | |
October | 4 | 6 | 11 | 13 | 18 | 20 | 25 | 27 | ||
November | 1 | 3 | 8 | 10 | 15 | 17 | 22 | 24 | 29 | |
December | 1 | 6 | 8 | 20 |
FINAL EXAM: Tuesday December 20, 2016, 6:00-8:00pm in TBD.
Detailed Schedule & Syllabus
NOTE: This schedule in TENTATIVE, and 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.
August
Date | Scope | Material & Reading Assignments
(To Be Read Ahead of Class) |
Notes & slides
(If any) |
Review Problems | Quizzes & Homeworks |
---|---|---|---|---|---|
8/30 | Course overview, logistics, (motivating) examples and terminology | Chapters 1 & 2 | Notes 0 Slides 1 |
Problems 2.1 & 2.2 |
September
Date | Scope | Material & Reading Assignments
(To Be Read Ahead of Class) |
Notes & slides
(If any) |
Review Problems | Quizzes & Homeworks |
---|---|---|---|---|---|
9/1 | 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 | |
9/6 | 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 | |
9/8 | 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 | |
9/13 | 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 | |
9/15 | A first foray into Markov chain focused on finite Discrete Time Markov Chains (DTMCs) and their applications to simple problems. | Chapter 8 (Sections 8.1 to 8.7) | Slides 5a | Review 6 Problems | |
9/20 | Infinite DTMCs and some simple applications | Chapter 8 (Sections 8.8 to 8.10) | Slides 5a | Review 7 Problems | Quiz 1 |
9/22 | Ergodicity for finite and infinite DTMCs | Chapter 9 | Slides 5b | Review 8 Problems | |
9/27 | Brief review of z-transforms and applications to DTMCs | Chapter 25 (the parts about z-transforms) & Chapter 10 | Slides 6 and Slides 7 and Lecture 9 problem |
Review 9 Problems | |
9/29 | Exponential distribution & Poisson process | Chapter 11 | Slides 8 | Review 10 Problems | HWK #2 |
October
Date | Scope | Material & Reading Assignments
(To Be Read Ahead of Class) |
Notes & slides
(If any) |
Review Problems | Quizzes & Homeworks |
---|---|---|---|---|---|
10/04 | Introduction to continuous time Markov chains (CTMC) | Chapter 12 | Slides 9 (CTMC) | Review 11 Problems | |
10/6 | M/M/1 queue & PASTA theorem | Chapter 13 | Slides 9 and Slides 8 (for PASTA) and Lecture 12 problems |
Review 12 Problems | |
10/11 | M/M/k/k (Erlang-B formula) and M/M/k queueing systems | Chapter 14 | Slides 9 | Review 13 Problems | Quiz 2 |
10/13 | 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 | HWK #3 |
10/18 | FALL BREAK | NO CLASS | |||
10/20 | Revisiting time reversibility and applications to network of queues | Chapter 16 | Slides 11 | Review 15 Problems | |
10/25 | IN CLASS MIDTERM | ||||
10/27 | Jackson networks (of queues) and product form distribution | Chapter 17 | Slides 11 and Lecture 16 problems |
Review 16 Problems <!== and Solution --> |
November
Date | Scope | Material & Reading Assignments
(To Be Read Ahead of Class) |
Notes & slides
(If any) |
Review Problems | Quizzes & Homeworks |
---|---|---|---|---|---|
11/01 | Classed Jackson networks | Chapter 18 | Slides 11 and Lecture 17 problems |
Review 17 Problems and Solution |
|
11/03 | Closed Jackson networks & mean value analysis (MVA) | Chapter 19 | Slides 11 | Review 18 Problems and Solution |
HWK #4 and Solution |
11/08 | A quick introduction to Matrix-Analytic techniques and phase-type distributions | Chapter 21 | Slides 12 | Review 19 Problems and Solution |
|
11/10 | Processor sharing queues | Chapter 22 | Slides 13 | Review 20 Problems and Solution |
Quiz 3 Solution |
11/15 | The M/G/1 queue and Renewal-Reward theorem | Chapter 23 | Slides 14 and Lecture 21 problems |
Review 21 Problems and Solution |
|
11/17 | A brief foray into server assignment policies | Chapter 24 | Slides 15 | Review 22 Problems and Solution |
HWK #5 and Solution |
11/22 | Transform analysis of M/G/1 queue (and review of transforms) | Chapter 25 and Chapter 26 (Section 1) | Slides 16 | Review 23 Problems and Solution |
|
11/24 | NO CLASS - THANKSGIVING | ||||
11/29 | M/G/1 queue and application to power optimization | Chapter 26 (Section 2) and Chapter 27 | Slides 17 | Review 24 Problems and Solution |
December
Date | Scope | Material & Reading Assignments
(To Be Read Ahead of Class) |
Notes & slides
(If any) |
Review Problems | Quizzes & Homeworks |
---|---|---|---|---|---|
12/01 | M/G/1 queue with non-preemptive scheduling priorities | Review Section 3 of Chapter 27, Chapter 29 and Chapter 31 | Slides 18 | Review 25 Problems and Solution |
HWK #6 and Solution |
12/06 | Preemptive, non-size-based scheduling policies | Chapter 30 & Section 32.2 | Slides 19 | Review 26 Problems and Solution |
Quiz 4 and Solution |
12/08 | Preemptive size-based scheduling policies | Chapter 32 (Sections 32.3 and onward) & Chapter 33 | Slides 20 | Review 27 problems and Solution |
|
12/20 | FINAL EXAM (6:00-8:00pm in TBD) | AND SOLUTION |