Difference between revisions of "Syllabus"
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Revision as of 16:42, 11 May 2022
Contents
Syllabus & Schedule (Fall 2022)
THE INFORMATION ON THIS WIKI PAGE MAY BE UPDATED THROUGHOUT SEMESTER. PLEASE CHECK IT REGULARLY
Schedule at-a-glance
Class times and location: Monday & Wednesday, 4:00pm-5:20pm in TBD.
Legend: date (quizzes) and due date (homeworks)
| Quiz | Hmwk | No class |
|---|---|---|
UNDER CONSTRUCTION - THIS HAS NOT YET BEEN UPDATED FOR FALL 2022
| Mo. | We. | Mo. | We. | Mo. | We. | Mo. | We. | Mo. | We. | |
|---|---|---|---|---|---|---|---|---|---|---|
| August | 29 | 31 | ||||||||
| September | 5 | 7 | 12 (H1) | 14 (Q1) | 19 | 20 | 26 (H2) | 28 (Q2) | ||
| October | 3 | 5 | 10 | 12 (H3) | 17 (Q3) | 19 | 24 | 26 (H4) | 31 (Q4) | |
| November | 2 | 7 | 9 | 14 (H5) | 16 (Q5) | 21 | 23 | 28 | 30 | |
| December | 5 | 7 | 8 (H6) | |||||||
| 8 (Q6) |
Zoom access of live lectures through Canvas
Detailed Schedule & Syllabus
NOTE: This schedule in TENTATIVE, and may change depending on the speed at which we cover different topics. Changes to the schedule will be reflected as quickly as possible on this page.
August
| Unit | Date | Scope | Material & Reading Assignments
(To Be Read Ahead of Class) |
Notes & slides
(If any) |
Preview Problems | Quizzes & Homeworks |
|---|---|---|---|---|---|---|
| U0 | 8/30 | Course overview, logistics, (motivating) examples and terminology | Chapters 1 & 2 | Notes 0 Intro & Nomenclature |
Preview Problems 1 |
September
| Unit | Date | Scope | Material & Reading Assignments
(To Be Read Ahead of Class) |
Notes & slides
(If any) |
Preview Problems | Quizzes & Homeworks |
|---|---|---|---|---|---|---|
| U1 | 9/6 | NO CLASS - LABOR DAY | ||||
| U1 | 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 | Little & Operational Laws | Preview Problems 3 & 4 | |
| U2 | 9/13 | 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) | Discrete Time Markov Chains and Web caching as a DTMC |
Preview Problems 5] | HWK #1 |
| U2 | 9/15 | Infinite DTMCs and some simple applications | Chapter 8 (Sections 8.8 to 8.10) | Discrete Time Markov Chains and DTMC Examples |
Preview Problems 6 | Quiz 1 |
| U2 | 9/20 | Ergodicity, balance equations, and time reversibility for DTMCs | Chapter 9 | Ergodicity and more | Preview Problems 7 | |
| U2 | 9/22 | Review of z-transforms and applications to DTMCs | Chapter 25 (the parts about z-transforms) & Chapter 10 (mostly Section 10.3, though the others are of independent interest) | z-transforms and z-transform solution for Geom/Geom/1 queue (last problem of Unit 2 on Canvas) |
Preview Problems 8 | |
| Open | 9/27 | U2 Recap session | All U2 material | Review 1 | HWK #2 | |
| U3 | 9/29 | Exponential distribution & Poisson process | Chapter 11 | Exponential & Poisson Distributions (except the material on PASTA) | Preview Problems 9 | Quiz 2 |
October
| Unit | Date | Scope | Material & Reading Assignments
(To Be Read Ahead of Class) |
Notes & slides
(If any) |
Preview Problems | Quizzes & Homeworks |
|---|---|---|---|---|---|---|
| U3 | 10/4 | Introduction to continuous time Markov chains (CTMC), M/M/1 queue & PASTA theorem | Chapters 12 & 13 | Continuous Time Markov Chains plus Exponential & Poisson Distributions (for PASTA), and and some related problems] | Preview Problems 10 | |
| U3 | 10/6 | M/M/k/k (Erlang-B formula) and M/M/k queueing systems | Chapter 14 | Continuous Time Markov Chains | Preview Problems 11 | |
| U3 | 10/11 | NO CLASS - FALL BREAK - Review 2 to be held in Jubel 121 on Friday 10/15 from 3:00pm to 4:20pm Slides for review 2 | ||||
| U3 | 10/13 | Applications to system provisioning | Chapter 15 + Sections 8.11 & 8.12 of Zukerman's book (Hayward approximation and Equivalent Random Theory) | System Provisioning | Preview Problems 12 | HWK #3 |
| U4 | 10/18 | Revisiting time reversibility and applications to network of queues | Chapter 16 | Burke Theorem, Reversibility, and Basic Networks of Queues | Preview Problems 13 | Quiz 3 |
| U4 | 10/20 | Jackson networks (of queues) and product form distribution | Chapter 17 | Jackson Networks of Queues and Chapter 17 problem |
Preview problems 14 | |
| U4 | 10/25 | Classed Jackson networks + Mean Value Analysis | Chapters 18 & 19 | Classed Networks of Queues & Mean Value Analysis and Chapter 18 problem |
Preview Problems 15 | |
| Open | 10/27 | U4 Recap session | All U4 material | Review 3 | HWK #4 | |
November
| Unit | Date | Scope | Material & Reading Assignments
(To Be Read Ahead of Class) |
Notes & slides
(If any) |
Preview Problems | Quizzes & Homeworks |
|---|---|---|---|---|---|---|
| U5 | 11/1 | A quick introduction to Matrix-Analytic techniques and phase-type distributions | Chapter 21 | Matrix Analytic Techniques | Preview Problems 16 | Quiz 4 |
| U5 | 11/3 | Processor sharing queues | Chapter 22 | Processor Sharing Queues | Preview Problems 17 | |
| U5 | 11/8 | The M/G/1 queue and Renewal-Reward theorem | Chapter 23 | M/G/1 Queue & Renewal Reward Theory and Chapter 23 problems |
Preview Problems 18 | |
| U5 | 11/10 | A brief foray into task/server assignment policies | Chapter 24 | Task/Server Assignment Policies | Preview Problems 19 | |
| Open | 11/15 | U5 Recap session | All U5 material covered so far | Review 4 | HWK #5 | |
| U5 | 11/17 | Transform analysis of M/G/1 queue (and review of transforms) | Chapter 25 and Chapter 26 (Section 1) | Transform Analysis and Summary of Main Transform Relationships |
Preview Problems 20 | Quiz 5 |
| U5 | 11/22 | M/G/1 queue and application to power optimization | Chapter 26 (Section 2) and Chapter 27 | M/G/1 Busy Period & Power Optimization and Chapter 27 problems |
Preview Problems 21 | |
| 11/24 | NO CLASS - THANKSGIVING BREAK | |||||
| U5 | 11/29 | Non-preemptive scheduling policies for M/G/1/ queue | Review Section 3 of Chapter 27, Chapter 29 and Chapter 31 | Scheduling Non-Preemptive Policies | Preview Problems 22 | |
December
| Unit | Date | Scope | Material & Reading Assignments
(To Be Read Ahead of Class) |
Notes & slides
(If any) |
Preview Problems | Quizzes & Homeworks |
|---|---|---|---|---|---|---|
| U5 | 12/1 | Non-Size-Based Preemptive scheduling policies for M/G/1 queue | Chapter 30 | Non-Size-Based Preemptive Scheduling Policies | Preview Problems 23 | |
| U5 | 12/6 | Size-Based Preemptive scheduling policies for M/G/1 queue | Chapters 32 & 33 | Size-Based Preemptive Policies | Preview Problems 24 | |
| Open | 12/8 | U5 Recap session | All U5 material covered from Quiz 5 onward | Review 5 | HWK #6 | |
| Quiz 6 | ||||||
