Difference between revisions of "Syllabus"

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===Schedule at-a-glance===
 
===Schedule at-a-glance===
  
'''Class times and location''': Tuesday & Thursday, 10:00am-11:30am in Lopata 103.
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'''Class times and location''': Monday & Wednesday, 4:00pm-5:20pm in TBD.
  
 
'''Legend: date (quizzes & exams) and due date (homeworks)'''
 
'''Legend: date (quizzes & exams) and due date (homeworks)'''
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! style="text-align:left;"| August
 
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! style="text-align:left;"| September
|  || 1 || 6 || 8 || 13||style="background-color: SpringGreen;"| 15 ||style="background-color: SkyBlue;"| 20 || 22 || 27 ||style="background-color: SpringGreen;"| 29
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<span style="color: red; text-decoration:blink;">'''FINAL EXAM: Tuesday December 20, 2016, 6:00-8:00pm in <u>TBD</u>.'''</span>
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<span style="color: red; text-decoration:blink;">'''FINAL EXAM: Tuesday December 11, 2020, 6:00-8:00pm in <u>TBD</u>.'''</span>
  
 
===Detailed Schedule & Syllabus===
 
===Detailed Schedule & Syllabus===

Revision as of 21:14, 6 March 2020

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: Monday & Wednesday, 4:00pm-5:20pm in TBD.

Legend: date (quizzes & exams) and due date (homeworks)

Hmwk Quizz Exam No class




Mo. We. Mo. We. Mo. We. Mo. We. Mo. We.
August 24 26 31
September 2 7 9 14 16 21 23 29 30
October 5 7 12 14 19 21 26 28
November 2 4 9 11 16 18 23 25 30
December 2 11

FINAL EXAM: Tuesday December 11, 2020, 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

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
11/03 Closed Jackson networks & mean value analysis (MVA) Chapter 19 Slides 11 Review 18 Problems HWK #4
11/08 A quick introduction to Matrix-Analytic techniques and phase-type distributions Chapter 21 Slides 12 Review 19 Problems
11/10 Processor sharing queues Chapter 22 Slides 13 Review 20 Problems Quiz 3
11/15 The M/G/1 queue and Renewal-Reward theorem Chapter 23 Slides 14
and Lecture 21 problems
Review 21 Problems
11/17 A brief foray into server assignment policies Chapter 24 Slides 15 Review 22 Problems HWK #5
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
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

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 HWK #6
12/06 Preemptive, non-size-based scheduling policies Chapter 30 & Section 32.2 Slides 19 Review 26 Problems Quiz 4
12/08 Preemptive size-based scheduling policies Chapter 32 (Sections 32.3 and onward) & Chapter 33 Slides 20 Review 27 problems
12/20 FINAL EXAM (6:00-8:00pm in TBD)