Syllabus
Contents
Syllabus & Schedule (Fall 2024)
THE INFORMATION ON THIS WIKI PAGE MAY BE UPDATED THROUGHOUT THE SEMESTER. PLEASE CHECK IT REGULARLY
Schedule at-a-glance
Class times and location: Monday & Wednesday, 4:00pm-5:20pm in TBA0.
Legend: HOMEWORKS: Due date; QUIZZES: Date they become available (due date is 72 hours later)
| Quiz | Hmwk | No class |
|---|---|---|
| Mo. | We. | Mo. | We. | Mo. | We. | Mo. | We. | Mo. | We. | |
|---|---|---|---|---|---|---|---|---|---|---|
| August | 26 | 28 | ||||||||
| September | 2 | 4 | 9 (H1) | 11 (Q1) | 16 | 18 | 23 (H2) | 25 (Q2) | 30 | |
| October | 2 | 7 | 9 (H3) | 14 (Q3) | 16 | 21 | 23 (H4) | 28 (Q4) | 30 | |
| November | 4 | 6 | 11 (H5) | 13 (Q5) | 18 | 23 | 25 | 27 | ||
| December | 2 | 4 (H6) | ||||||||
| 5 (Q6) | Note: To be completed by 5:30pm on the last day of classes, Friday, December 6, 2024 | |||||||||
Zoom access of live lectures WHEN OFFERED (see Zoom & Video Access) will be 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 | 8/26 | Course overview, logistics, (motivating) examples and terminology | Chapters 1 & 2 | Notes 0 Intro & Nomenclature |
Preview Problems 1 | |
| U1 | 8/28 | A brief review of probability topics, both basic and slightly more advanced, which are needed in the course | Chapters 3 & 5 | Probability Refresher and Practice Problems for U1 | Preview Problems 2 |
September
| Unit | Date | Scope | Material & Reading Assignments
(To Be Read Ahead of Class) |
Notes & slides
(If any) |
Preview Problems | Quizzes & Homeworks |
|---|---|---|---|---|---|---|
| U1 | 9/2 | NO CLASS - LABOR DAY | ||||
| 9/4 | 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 | 9/9 | 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 in U2 Practice Problems |
Preview Problems 5] | HWK #1 |
| U2 | 9/11 | 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 | 9/16 | Ergodicity, balance equations, and time reversibility for DTMCs | Chapter 9 | Ergodicity and more | Preview Problems 7 | |
| U2 | 9/18 | 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 U2 on Canvas) |
Preview Problems 8 | |
| Open | 9/23 | U2 Recap session | All U2 material | Review 1 | HWK #2 | |
| U3 | 9/25 | Exponential distribution & Poisson process | Chapter 11 | Exponential & Poisson Distributions (except the material on PASTA) | Preview Problems 9 | Quiz 2 |
| U3 | 9/30 | 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 (Chapter 13 problems in U3)] | Preview Problems 10 | |
October
| Unit | Date | Scope | Material & Reading Assignments
(To Be Read Ahead of Class) |
Notes & slides
(If any) |
Preview Problems | Quizzes & Homeworks |
|---|---|---|---|---|---|---|
| U3 | 10/2 | M/M/k/k (Erlang-B formula) and M/M/k queueing systems | Chapter 14 | Continuous Time Markov Chains | Preview Problems 11 | |
| 10/7 | NO CLASS - FALL BREAK - Review 2 to be held in TBD on TBD Slides for review 2 | |||||
| U3 | 10/9 | 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 | 10/14 | 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 | 10/16 | Jackson networks (of queues) and product form distribution | Chapter 17 | Jackson Networks of Queues and Chapter 17 problem (1st problem in U4) |
Preview problems 14 | |
| U4 | 10/21 | Classed Jackson networks + Mean Value Analysis | Chapters 18 & 19 | Classed Networks of Queues & Mean Value Analysis and Chapter 18 problem (2nd problem in U4) |
Preview Problems 15 | |
| Open | 10/23 | U4 Recap session | All U4 material | Review 3 | HWK #4 | |
| U5 | 10/28 | A quick introduction to Matrix-Analytic techniques and phase-type distributions | Chapter 21 | Matrix Analytic Techniques | Preview Problems 16 | Quiz 4 |
| U5 | 10/30 | Processor sharing queues | Chapter 22 | Processor Sharing Queues | Preview Problems 17 | |
November
| Unit | Date | Scope | Material & Reading Assignments
(To Be Read Ahead of Class) |
Notes & slides
(If any) |
Preview Problems | Quizzes & Homeworks |
|---|---|---|---|---|---|---|
| U5 | 11/4 | The M/G/1 queue and Renewal-Reward theorem | Chapter 23 | M/G/1 Queue & Renewal Reward Theory and Chapter 23 problems (1st problems in U5a) |
Preview Problems 18 | |
| U5 | 11/6 | A brief foray into task/server assignment policies | Chapter 24 | Task/Server Assignment Policies | Preview Problems 19 | |
| Open | 11/11 | U5 Recap session | All U5 material covered so far | Review 4 | HWK #5 | |
| U5 | 11/13 | 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 | 11/18 | 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 (2nd problems in U5a) |
Preview Problems 21 | |
| U5 | 11/20 | 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 | |
| U5 | 11/25 | Non-Size-Based Preemptive scheduling policies for M/G/1 queue | Chapter 30 | Non-Size-Based Preemptive Scheduling Policies and Problem 30.5 (3rd problem in U5b) |
Preview Problems 23 | |
| 11/27 | NO CLASS - THANKSGIVING BREAK | |||||
December
| Unit | Date | Scope | Material & Reading Assignments
(To Be Read Ahead of Class) |
Notes & slides
(If any) |
Preview Problems | Quizzes & Homeworks |
|---|---|---|---|---|---|---|
| U5 | 12/4 | Size-Based Preemptive scheduling policies for M/G/1 queue | Chapters 32 & 33 | Size-Based Preemptive Policies | Preview Problems 24 | |
| Open | 12/6 | U5 Recap session | All U5 material covered from Quiz 5 onward | Review 5 Jiaming's review slides |
HWK #6 | |
| 12/7 | Available on 12/7 at 5:30pm, due three days later | Quiz 6 | ||||
