Difference between revisions of "Syllabus"

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==Syllabus & Schedule==
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==Syllabus & Schedule (Fall 2024)==
  
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<span style="color: red; text-decoration:blink;">'''THE INFORMATION ON THIS WIKI PAGE MAY BE UPDATED THROUGHOUT SEMESTER. PLEASE CHECK IT REGULARLY'''</span>
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<span style="color: red; text-decoration:blink;">'''THE INFORMATION ON THIS WIKI PAGE MAY BE UPDATED THROUGHOUT THE SEMESTER. PLEASE CHECK IT REGULARLY'''</span>
  
 
===Schedule at-a-glance===
 
===Schedule at-a-glance===
  
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'''Class times and location''': Monday & Wednesday, 4:00pm-5:20pm in TBD.
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'''Class times and location''': Monday & Wednesday, 4:00pm-5:20pm in Jubel Hall 121.
  
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'''Legend: date (quizzes<!-- & exams-->) and due date (homeworks)'''
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'''Legend: HOMEWORKS:  Due date; QUIZZES: Date they become available (due date is 72 hours later)'''
 
{| class="wikitable" style="text-align: center; color: black; border-style: solid; border-width: 2px"
 
{| class="wikitable" style="text-align: center; color: black; border-style: solid; border-width: 2px"
 
! Quiz
 
! Quiz
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| style="background-color: red;"|<br>  
 
| style="background-color: red;"|<br>  
 
|}
 
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{| class="wikitable" style="text-align: center; color: black; border-style: solid; border-width: 2px"
 
{| class="wikitable" style="text-align: center; color: black; border-style: solid; border-width: 2px"
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|-
 
|-
 
! style="text-align:left;"| August
 
! style="text-align:left;"| August
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| 30 ||
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| 26 || 28
 
|-
 
|-
 
! style="text-align:left;"| September
 
! style="text-align:left;"| September
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| || 1 || 6 || 8 ||style="background-color: SkyBlue;"| 13 (H1)||style="background-color: SpringGreen;"| 15(Q1) || 20 || 22 ||style="background-color: SkyBlue;"| 27 (H2) ||style="background-color: SpringGreen;"| 29 (Q2)
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|style="background-color: red;"| 2 || 4 ||style="background-color: SkyBlue;"| 9 (H1)||style="background-color: SpringGreen;"| 11 (Q1) || 16 || 18 ||style="background-color: SkyBlue;"| 23 (H2) ||style="background-color: SpringGreen;"| 25 (Q2) || 30
 
|-
 
|-
 
! style="text-align:left;"| October
 
! style="text-align:left;"| October
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| 4 || 6 || 11 ||style="background-color: SkyBlue;"| 13 (H3) ||style="background-color: SpringGreen;"| 18 (Q3) || 20 || 25 ||style="background-color: SkyBlue;"| 27 (H4)  
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| || 2 ||style="background-color: red;"| 7 ||style="background-color: SkyBlue;"| 9 (H3) ||style="background-color: SpringGreen;"| 14 (Q3) || 16 || 21 ||style="background-color: SkyBlue;"| 23 (H4) ||style="background-color: SpringGreen;"| 28 (Q4) || 30
 
|-
 
|-
 
! style="text-align:left;"| November
 
! style="text-align:left;"| November
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|style="background-color: SpringGreen;"| 1 (Q4) || 3 || 8 || 10 ||style="background-color: SkyBlue;"| 15 (H5) ||style="background-color: SpringGreen;"| 17 (Q5) || 22 ||style="background-color: Red;"| 24 || 29
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| 4 || 6 ||style="background-color: SkyBlue;"| 11 (H5) ||style="background-color: SpringGreen;"| 13 (Q5) || 18 || 23 || 25 ||style="background-color: Red;"| 27 
 
|-
 
|-
 
! style="text-align:left;"| December
 
! style="text-align:left;"| December
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| 6 ||style="background-color: SkyBlue;"| 8 (H6)
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| 2 ||style="background-color: SkyBlue;"| 4 (H6)
 
|-
 
|-
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| || ||style="background-color: SpringGreen;"|  8 (Q6)
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| || ||style="background-color: SpringGreen;"|  5 (Q6) ||colspan="8" style="background-color: ; text-align:center;"|'''Note''': To be completed by 5:30pm on the last day of classes, Friday, December 6, 2024
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|}
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|}  
  
 
<!--<span style="color: red; text-decoration:blink;">
 
<!--<span style="color: red; text-decoration:blink;">
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'''EXAM 2: Tuesday December 11, 2020, 6:00-7:20pm in <u>TBD</u>'''
 
'''EXAM 2: Tuesday December 11, 2020, 6:00-7:20pm in <u>TBD</u>'''
 
</span> -->
 
</span> -->
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===<!--<span style="color: red">-->Zoom access of live lectures WHEN OFFERED (see [[Main Page#zoom|Zoom & Video Access]]) will be through [https://wustl.instructure.com/courses/133964/external_tools/1199 Canvas]<!--</span>-->===
  
 
===Detailed Schedule & Syllabus===
 
===Detailed Schedule & Syllabus===
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! Quizzes & Homeworks
 
! Quizzes & Homeworks
 
|-
 
|-
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| U0 || 8/30 || Course overview, logistics, (motivating) examples and terminology || Chapters 1 & 2 ||[https://drive.google.com/file/d/1VrYQ3m_D4chX9ZcCM-Sq541Zyl81VfzT/view?usp=sharing Notes 0]<br/>[https://drive.google.com/file/d/1yhMfOnRS2IHfR4G7Lx9MQ4ihGKCy0IzC/view?usp=sharing Intro & Nomenclature] || [https://drive.google.com/file/d/17vtkuQ_hN1ZNREVglsNEzusA9VPQQt3F/view?usp=sharing Preview Problems 1] ||  
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| U0 || 8/26 || Course overview, logistics, (motivating) examples and terminology || Chapters 1 & 2 ||[https://drive.google.com/file/d/1VrYQ3m_D4chX9ZcCM-Sq541Zyl81VfzT/view?usp=sharing Notes 0]<br/>[https://drive.google.com/file/d/1yhMfOnRS2IHfR4G7Lx9MQ4ihGKCy0IzC/view?usp=sharing Intro & Nomenclature] || [https://drive.google.com/file/d/17vtkuQ_hN1ZNREVglsNEzusA9VPQQt3F/view?usp=sharing Preview Problems 1] ||
 +
|-
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| U1 || 8/28 || A brief review of probability topics, both basic and slightly more advanced, which are needed in the course || Chapters 3 & 5 || [https://drive.google.com/file/d/1Q6qVcMzHMLi7M0TiQukYyL1nAnkYO2Q0/view?usp=sharing Probability Refresher] and [https://wustl.instructure.com/courses/133964/pages/practice-problems-by-unit Practice Problems for U1] ||[https://drive.google.com/file/d/1Nk227qMaiuuBuUkMI0vH6CM4RNRIamgz/view?usp=sharing Preview Problems 2] ||
 
|}
 
|}
  
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! Quizzes & Homeworks
 
! Quizzes & Homeworks
 
|-
 
|-
−
| U1 || 9/1 || A brief review of probability topics, both basic and slightly more advanced, which are needed in the course || Chapters 3 & 5 || [https://drive.google.com/file/d/1Q6qVcMzHMLi7M0TiQukYyL1nAnkYO2Q0/view?usp=sharing Probability Refresher] and [https://wustl.instructure.com/courses/47391/files/1592117/preview Practice Problems] ||[https://drive.google.com/file/d/1Nk227qMaiuuBuUkMI0vH6CM4RNRIamgz/view?usp=sharing Preview Problems 2] ||
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|style="background-color: Red;"| U1 ||style="background-color: Red;"| 9/2 ||colspan="5" style="background-color: Red; text-align:center;"| NO CLASS - LABOR DAY
 
|-
 
|-
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| U1 || 9/6 || 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|| [https://drive.google.com/file/d/1rMNMujiCO84xGPebp4OFd59xGEIV6crG/view?usp=sharing Little & Operational Laws] || [https://drive.google.com/file/d/1E1S1zW1S2F457RS0p40r1LvqiDlbXf3B/view?usp=sharing Preview Problems 3] ||
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|   || 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|| [https://drive.google.com/file/d/1rMNMujiCO84xGPebp4OFd59xGEIV6crG/view?usp=sharing Little & Operational Laws] || [https://drive.google.com/file/d/1E1S1zW1S2F457RS0p40r1LvqiDlbXf3B/view?usp=sharing Preview Problems 3 & 4] ||
 
|-
 
|-
−
| 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|| [https://drive.google.com/file/d/1rMNMujiCO84xGPebp4OFd59xGEIV6crG/view?usp=sharing Little & Operational Laws] || NA  ||
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| 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) || [https://drive.google.com/file/d/1K1_1wcx5D9yExRXPstvvAWHxW53hTqe6/view?usp=sharing Discrete Time Markov Chains]<br/> and [https://wustl.instructure.com/courses/133964/pages/practice-problems-by-unit Web caching as a DTMC in U2 Practice Problems] || [https://drive.google.com/file/d/1sKWZcE0EON_2M2nkpUtr733nqedesPgl/view?usp=sharing Preview Problems 5]] ||style="background-color: SkyBlue;"|[https://drive.google.com/file/d/1kC81pnb9krjMZ10UMOAwFycV8T0fsePx/view?usp=sharing HWK #1]
 
|-
 
|-
−
| 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) || [https://drive.google.com/file/d/1K1_1wcx5D9yExRXPstvvAWHxW53hTqe6/view?usp=sharing Discrete Time Markov Chains]<br/> and [https://wustl.instructure.com/courses/47391/files?preview=1610108 Web caching as a DTMC] || [https://drive.google.com/file/d/1sKWZcE0EON_2M2nkpUtr733nqedesPgl/view?usp=sharing Preview Problems 5]] ||style="background-color: SkyBlue;"|[https://drive.google.com/file/d/1kC81pnb9krjMZ10UMOAwFycV8T0fsePx/view?usp=sharing HWK #1]
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| U2 || 9/11 || Infinite DTMCs and some simple applications || Chapter 8 (Sections 8.8 to 8.10) || [https://drive.google.com/file/d/1K1_1wcx5D9yExRXPstvvAWHxW53hTqe6/view?usp=sharing Discrete Time Markov Chains]<br/> and [https://drive.google.com/file/d/1Y8gR6tWmiM_SLuY5kVmzeXRSepQWNZR9/view?usp=sharing DTMC Examples] || [https://drive.google.com/file/d/1n3yth3WxfcYej5lyOA8ruxO22b6yG_RW/view?usp=sharing Preview Problems 6] ||style="background-color: SpringGreen;"| Quiz 1  
 
|-
 
|-
−
| U2 || 9/15 || Infinite DTMCs and some simple applications || Chapter 8 (Sections 8.8 to 8.10) || [https://drive.google.com/file/d/1K1_1wcx5D9yExRXPstvvAWHxW53hTqe6/view?usp=sharing Discrete Time Markov Chains]<br/> and [https://drive.google.com/file/d/1Y8gR6tWmiM_SLuY5kVmzeXRSepQWNZR9/view?usp=sharing DTMC Examples] || [https://drive.google.com/file/d/1n3yth3WxfcYej5lyOA8ruxO22b6yG_RW/view?usp=sharing Preview Problems 6] ||style="background-color: SpringGreen;"| Quiz 1
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| U2 || 9/16 || Ergodicity, balance equations, and time reversibility for DTMCs || Chapter 9 || [https://drive.google.com/file/d/1WRSpjPc57T3f_KjrETWW58M5GiLfEodU/view?usp=sharing Ergodicity and more] || [https://drive.google.com/file/d/1lNSmc_qQtopldlzp03yVfos_T5ftVXg1/view?usp=sharing Preview Problems 7]
 
|-
 
|-
−
| U2 || 9/20 || Ergodicity, balance equations, and time reversibility for DTMCs || Chapter 9 || [https://drive.google.com/file/d/1WRSpjPc57T3f_KjrETWW58M5GiLfEodU/view?usp=sharing Ergodicity and more] || [https://drive.google.com/file/d/1lNSmc_qQtopldlzp03yVfos_T5ftVXg1/view?usp=sharing Preview Problems 7]
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| 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) || [https://drive.google.com/file/d/1K8ZseWalrb4qKkYT65oqKGwxuS2cEk29/view?usp=sharing ''z''-transforms]<br/> and [https://wustl.instructure.com/courses/133964/pages/practice-problems-by-unit ''z''-transform solution for Geom/Geom/1 queue (last problem of U2 on Canvas)] || [https://drive.google.com/file/d/1salKxToOMFogF_rJ3TSanWoYPKAknaYW/view?usp=sharing Preview Problems 8] ||
 
|-
 
|-
−
| 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) || [https://drive.google.com/file/d/1K8ZseWalrb4qKkYT65oqKGwxuS2cEk29/view?usp=sharing ''z''-transforms]<br/> and [https://wustl.instructure.com/courses/47391/files/1571776/preview ''z''-transform solution for Geom/Geom/1 queue] || [https://drive.google.com/file/d/1salKxToOMFogF_rJ3TSanWoYPKAknaYW/view?usp=sharing Preview Problems 8] ||
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| Open || 9/23 || U2 Recap session || All U2 material || [https://drive.google.com/file/d/1-sXzwvrUJvF6KQ9JgOUkpxjg-vaUdXNV/view?usp=sharing Review 1] || ||style="background-color: SkyBlue;"|[https://drive.google.com/file/d/156Nej3kd8R8M5hgwy6C7BQBF3Ttw1vZg/view?usp=sharing HWK #2]
 
|-
 
|-
−
| Open || 9/27 || U2 Recap session || colspan="3" | All U2 material ||style="background-color: SkyBlue;"|[https://drive.google.com/file/d/156Nej3kd8R8M5hgwy6C7BQBF3Ttw1vZg/view?usp=sharing HWK #2]
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| U3|| 9/25 || Exponential distribution & Poisson process|| Chapter 11 || [https://drive.google.com/file/d/1N_FjkEftjkBNqMCpMKAJ-VgpU1awAjNH/edit?usp=sharing Exponential & Poisson Distributions] (except the material on PASTA) || [https://drive.google.com/file/d/1FJATtG_Y4VWPi39Htad0m19mcFUylU1W/view?usp=sharing Preview Problems 9] ||style="background-color: SpringGreen;"| Quiz 2
 
|-
 
|-
−
| U3|| 9/29 || Exponential distribution & Poisson process|| Chapter 11 || [https://drive.google.com/file/d/1rdxgipPS2k9dTKJnu4i9ilxAL72FhcvO/view?usp=sharing Exponential & Poisson Distributions] (except the material on PASTA) || [https://drive.google.com/file/d/1FJATtG_Y4VWPi39Htad0m19mcFUylU1W/view?usp=sharing Preview Problems 9] ||style="background-color: SpringGreen;"| Quiz 2
+
| U3 || 9/30 ||Introduction to continuous time Markov chains (CTMC),  M/M/1 queue & PASTA theorem || Chapters 12 & 13 || [https://drive.google.com/file/d/1otmURHW2OSvYLVTYL6BwxbfSETV2XgS8/view?usp=sharing Continuous Time Markov Chains] plus [https://drive.google.com/file/d/1N_FjkEftjkBNqMCpMKAJ-VgpU1awAjNH/edit?usp=sharing Exponential & Poisson Distributions] (for PASTA), and [https://wustl.instructure.com/courses/133964/pages/practice-problems-by-unit and some related problems (Chapter 13 problems in U3)]] || [https://drive.google.com/file/d/1temAdHNjumrKtWOhsyhaOZWO5P1KMgRv/view?usp=sharing Preview Problems 10] ||
 
|}
 
|}
  
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! Quizzes & Homeworks
 
! Quizzes & Homeworks
 
|-
 
|-
−
| U3 || 10/4 ||Introduction to continuous time Markov chains (CTMC),  M/M/1 queue & PASTA theorem || Chapters 12 & 13 || [https://drive.google.com/file/d/1otmURHW2OSvYLVTYL6BwxbfSETV2XgS8/view?usp=sharing Continuous Time Markov Chains] plus [https://drive.google.com/file/d/1rdxgipPS2k9dTKJnu4i9ilxAL72FhcvO/view?usp=sharing Exponential & Poisson Distributions] (for PASTA), and [https://wustl.instructure.com/courses/47391/files/1571693/preview and some related problems]] || [https://drive.google.com/file/d/1temAdHNjumrKtWOhsyhaOZWO5P1KMgRv/view?usp=sharing Preview Problems 10] ||
+
| U3 || 10/2 || M/M/k/k (Erlang-B formula) and M/M/k queueing systems || Chapter 14 || [https://drive.google.com/file/d/1otmURHW2OSvYLVTYL6BwxbfSETV2XgS8/view?usp=sharing Continuous Time Markov Chains] || [https://drive.google.com/file/d/1V2DdMTX-VmHPxh6-OeSO5d-MSa2xOXPS/view?usp=sharing/view?usp=sharing Preview Problems 11] ||
 
|-
 
|-
−
| U3 || 10/6 || M/M/k/k (Erlang-B formula) and M/M/k queueing systems || Chapter 14 || [https://drive.google.com/file/d/1otmURHW2OSvYLVTYL6BwxbfSETV2XgS8/view?usp=sharing Continuous Time Markov Chains] || [https://drive.google.com/file/d/1V2DdMTX-VmHPxh6-OeSO5d-MSa2xOXPS/view?usp=sharing/view?usp=sharing Preview Problems 11] ||
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|style="background-color: Red;"|  ||style="background-color: Red;"| 10/7 ||colspan="5" style="background-color: Red; text-align:center;"| NO CLASS - FALL BREAK - [https://drive.google.com/file/d/1r_5mffYrRuS5N9CoLuvMiP1m1Eqz7hY6/view?usp=sharing Review 2] to be held in TBD on TBD <br> Slides for [https://docs.google.com/presentation/d/10rEQfc1KTVkH8tsq2HWAt4KmVNy_eCW5/edit?usp=sharing&ouid=112223552596975457559&rtpof=true&sd=true review 2]  
 
|-
 
|-
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| U3 || 10/11 || Applications to system provisioning || Chapter 15 + Sections 8.11 & 8.12 of [https://drive.google.com/file/d/1uuIWpyiPrdxe4_VzayREQVyTtRFErx29/view?usp=sharing Zukerman's book] (Hayward approximation and Equivalent Random Theory)|| [https://drive.google.com/file/d/1bcQGnc85sFVHpglPyiO0T3c7IWsI5b7Z/view?usp=sharing System Provisioning] || [https://drive.google.com/file/d/1jQt6-jZc0svZO9novgNrq4rK6-069Rel/view?usp=sharing Preview Problems 12] ||  
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| U3 || 10/9 || Applications to system provisioning || Chapter 15 + Sections 8.11 & 8.12 of [https://drive.google.com/file/d/1uuIWpyiPrdxe4_VzayREQVyTtRFErx29/view?usp=sharing Zukerman's book] (Hayward approximation and Equivalent Random Theory)|| [https://drive.google.com/file/d/1bcQGnc85sFVHpglPyiO0T3c7IWsI5b7Z/view?usp=sharing System Provisioning] || [https://drive.google.com/file/d/1jQt6-jZc0svZO9novgNrq4rK6-069Rel/view?usp=sharing Preview Problems 12] ||style="background-color: SkyBlue;"|[https://drive.google.com/file/d/10i5NK79xaba7xrR1kl2GlOfw1Gj8j2o_/view?usp=sharing HWK #3]
 
|-
 
|-
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| Open || 10/13 || U3 Recap session || All U3 material || [https://drive.google.com/file/d/1r_5mffYrRuS5N9CoLuvMiP1m1Eqz7hY6/view?usp=sharing Review 2] || ||style="background-color: SkyBlue;"|[https://drive.google.com/file/d/10i5NK79xaba7xrR1kl2GlOfw1Gj8j2o_/view?usp=sharing HWK #3]
+
| U4 || 10/14 ||Revisiting time reversibility and applications to network of queues  || Chapter 16 || [https://drive.google.com/file/d/1FYodvmJhjSJpH-A0EBBbpKXZCNfASfyA/view?usp=sharing Burke Theorem, Reversibility, and Basic Networks of Queues]  || [https://drive.google.com/file/d/17fu4zcO2_Z8HshFDPyDbD9XK0RTupujm/view?usp=sharing Preview Problems 13] ||style="background-color: SpringGreen;"| Quiz 3
 
|-
 
|-
−
| U4 || 10/18 ||Revisiting time reversibility and applications to network of queues || Chapter 16 || [https://drive.google.com/file/d/1FYodvmJhjSJpH-A0EBBbpKXZCNfASfyA/view?usp=sharing Burke Theorem, Reversibility, and Basic Networks of Queues] || [https://drive.google.com/file/d/17fu4zcO2_Z8HshFDPyDbD9XK0RTupujm/view?usp=sharing Preview Problems 13] ||style="background-color: SpringGreen;"| Quiz 3
+
| U4 || 10/16 || Jackson networks (of queues) and product form distribution || Chapter 17 || [https://drive.google.com/file/d/1FYodvmJhjSJpH-A0EBBbpKXZCNfASfyA/view?usp=sharing Jackson Networks of Queues] <br/> and [https://wustl.instructure.com/courses/133964/pages/practice-problems-by-unit Chapter 17 problem (1st problem in U4)] || [https://drive.google.com/file/d/138JHM-v3nsl6_bc7XQ_xP--KgU1s5SS2/view?usp=sharing Preview problems 14] ||
 
|-
 
|-
−
| U4 || 10/20 || Jackson networks (of queues) and product form distribution || Chapter 17 || [https://drive.google.com/file/d/1FYodvmJhjSJpH-A0EBBbpKXZCNfASfyA/view?usp=sharing Jackson Networks of Queues] <br/> and [https://wustl.instructure.com/courses/47391/files/1571695/preview Chapter 17 problem] || [https://drive.google.com/file/d/138JHM-v3nsl6_bc7XQ_xP--KgU1s5SS2/view?usp=sharing Preview problems 14] ||
+
| U4 || 10/21 || Classed Jackson networks + Mean Value Analysis || Chapters 18 & 19 || [https://drive.google.com/file/d/1FYodvmJhjSJpH-A0EBBbpKXZCNfASfyA/view?usp=sharing Classed Networks of Queues & Mean Value Analysis] <br/> and [https://wustl.instructure.com/courses/133964/pages/practice-problems-by-unit Chapter 18 problem (2nd problem in U4)] || [https://drive.google.com/file/d/1_PkhpN7ZFv-b-SFJ5v66WORU6kc7NplB/view?usp=sharing Preview Problems 15] ||
 
|-
 
|-
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| U4 || 10/25 || Classed Jackson networks + Mean Value Analysis || Chapters 18 & 19 || [https://drive.google.com/file/d/1FYodvmJhjSJpH-A0EBBbpKXZCNfASfyA/view?usp=sharing Classed Networks of Queues & Mean Value Analysis] <br/> and [https://wustl.instructure.com/courses/47391/files/1571757/preview Chapter 18 problem] || [https://drive.google.com/file/d/1_PkhpN7ZFv-b-SFJ5v66WORU6kc7NplB/view?usp=sharing Preview Problems 15] ||
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| Open || 10/23 || U4 Recap session || All U4 material || [https://drive.google.com/file/d/1Nh7sTlNtEV5fHZnQYYJOHT7nWarSZfJd/view?usp=sharing Review 3] || ||style="background-color: SkyBlue;"| [https://drive.google.com/file/d/1bAWQ8ge6oFyXWyQmbdl9AkyQ297VLcIF/view?usp=sharing HWK #4]
 
|-
 
|-
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| Open || 10/27 || U4 Recap session || All U4 material || [https://drive.google.com/file/d/1SysZedgE-7z6Hg-D2q1eh8Oz12KUozcD/view?usp=sharing Review 3] || ||style="background-color: SkyBlue;"| [https://drive.google.com/file/d/1bAWQ8ge6oFyXWyQmbdl9AkyQ297VLcIF/view?usp=sharing HWK #4]
+
| U5 || 10/28 || A quick introduction to Matrix-Analytic techniques and phase-type distributions || Chapter 21 || [https://drive.google.com/file/d/1vhr49YMs0f6VKwbxcPpPktiFoadph-Ia/view?usp=sharing Matrix Analytic Techniques] || [https://drive.google.com/file/d/19SH01rOjvV1izpVkaG-xD0jWot6NInCU/view?usp=sharing Preview Problems 16]  ||style="background-color: SpringGreen;"| Quiz 4
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|-
 +
| U5 || 10/30 || Processor sharing queues || Chapter 22 || [https://drive.google.com/file/d/1b8Pv7Tn3A9aW4cxJlFIB7XKJErzINjeS/view?usp=sharing Processor Sharing Queues] || [https://drive.google.com/file/d/1xk1aBP_OvY7-PPkWCzz8CiUs0OK-7mQG/view?usp=sharing Preview Problems 17] ||
 
|}
 
|}
  
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! Quizzes & Homeworks
 
! Quizzes & Homeworks
 
|-
 
|-
−
| U5 || 11/1 || A quick introduction to Matrix-Analytic techniques and phase-type distributions || Chapter 21 || [https://drive.google.com/file/d/10GbBezwlKDF6JN-OYqjug37L1p-BTfbE/view?usp=sharing Matrix Analytic Techniques] ||  [https://drive.google.com/file/d/19SH01rOjvV1izpVkaG-xD0jWot6NInCU/view?usp=sharing Preview Problems 16]  ||style="background-color: SpringGreen;"| Quiz 4
+
| U5 || 11/4 || The M/G/1 queue and Renewal-Reward theorem || Chapter 23 || [https://drive.google.com/file/d/1aK0ermvVpXg-Iu30VeASU7Mv2WQ1ZsDt/view?usp=sharing M/G/1 Queue & Renewal Reward Theory] <br/> and [https://wustl.instructure.com/courses/133964/pages/practice-problems-by-unit Chapter 23 problems (1st problems in U5a)] || [https://drive.google.com/file/d/1t0xEehTn1H0vcJ-4aTderT8ScBSFyWyv/view?usp=sharing Preview Problems 18] ||  
−
|-
 
−
| U5 || 11/3 || Processor sharing queues || Chapter 22 || [https://drive.google.com/file/d/1b8Pv7Tn3A9aW4cxJlFIB7XKJErzINjeS/view?usp=sharing Processor Sharing Queues] || [https://drive.google.com/file/d/1xk1aBP_OvY7-PPkWCzz8CiUs0OK-7mQG/view?usp=sharing Preview Problems 17] ||  
 
 
|-
 
|-
−
| U5 || 11/8 || The M/G/1 queue and Renewal-Reward theorem || Chapter 23 || [https://drive.google.com/file/d/1aK0ermvVpXg-Iu30VeASU7Mv2WQ1ZsDt/view?usp=sharing M/G/1 Queue & Renewal Reward Theory] <br/> and [https://wustl.instructure.com/courses/47391/files/1571706/preview Chapter 23 problems] || [https://drive.google.com/file/d/1t0xEehTn1H0vcJ-4aTderT8ScBSFyWyv/view?usp=sharing Preview Problems 18] ||  
+
| U5 || 11/6 || A brief foray into task/server assignment policies || Chapter 24 || [https://drive.google.com/file/d/1rsExWMVcJSD2kVdwW-RmPkeR0GHFQ-ca/view?usp=sharing Task/Server Assignment Policies] || [https://drive.google.com/file/d/14WecX4jpQg1-m2r7s0VOlvskzDJAsmwc/view?usp=sharing Preview Problems 19] ||  
 
|-
 
|-
−
| U5 || 11/10 || A brief foray into task/server assignment policies || Chapter 24 || [https://drive.google.com/file/d/1rsExWMVcJSD2kVdwW-RmPkeR0GHFQ-ca/view?usp=sharing Task/Server Assignment Policies] || [https://drive.google.com/file/d/14WecX4jpQg1-m2r7s0VOlvskzDJAsmwc/view?usp=sharing Preview Problems 19] ||
+
| Open || 11/11 || U5 Recap session || All U5 material covered so far || [https://drive.google.com/file/d/1G94azwDoxEAIyZhUEuf4RIGGhvDfaxz-/view?usp=sharing Review 4] || ||style="background-color: SkyBlue;"| [https://drive.google.com/file/d/1hEBI-XPovZLOIWTuqaJNn2rVwSSaepjV/view?usp=sharing HWK #5]
 
|-
 
|-
−
| Open || 11/15 || U5 Recap session || All U5 material covered so far || [https://drive.google.com/file/d/1G94azwDoxEAIyZhUEuf4RIGGhvDfaxz-/view?usp=sharing Review 4] || ||style="background-color: SkyBlue;"| [https://drive.google.com/file/d/1hEBI-XPovZLOIWTuqaJNn2rVwSSaepjV/view?usp=sharing HWK #5]
+
| U5 || 11/13 || Transform analysis of M/G/1 queue (and review of transforms) || Chapter 25 and Chapter 26 (Section 1) || [https://drive.google.com/file/d/16lTll0lXbyOJltQ_ERLkj2dYz7vvFGk5/view?usp=sharing Transform Analysis]<br/> - [https://drive.google.com/file/d/1SOUitd-wS3vj-EC4IKVtMTCX_i_GfIfj/view?usp=sharing Summary of Main Transform Relationships] <br/> - [https://drive.google.com/file/d/1m93Jf9U95wCzMPpPl6N2WC2pHnB1-1QI/view?usp=sharing Finite M/G/1 Queue] || [https://drive.google.com/file/d/1S1fZ7bzl-o78DQkdX0tMxkVUi-Y-JXOi/view?usp=sharing Preview Problems 20] ||style="background-color: SpringGreen;"| Quiz 5
 
|-
 
|-
−
| U5 || 11/17 || Transform analysis of M/G/1 queue (and review of transforms) || Chapter 25 and Chapter 26 (Section 1) || [https://drive.google.com/file/d/16lTll0lXbyOJltQ_ERLkj2dYz7vvFGk5/view?usp=sharing Transform Analysis]<br/> and [https://drive.google.com/file/d/1SOUitd-wS3vj-EC4IKVtMTCX_i_GfIfj/view?usp=sharing Slides 16bis] || [https://drive.google.com/file/d/1S1fZ7bzl-o78DQkdX0tMxkVUi-Y-JXOi/view?usp=sharing Preview Problems 20] ||style="background-color: SpringGreen;"| Quiz 5
+
| U5 || 11/18 || M/G/1 queue and application to power optimization || Chapter 26 (Section 2) and Chapter 27 || [https://drive.google.com/file/d/1h8hNRPr9CUfIBKlUt9PLf_n_5NbBMPyJ/view?usp=sharing M/G/1 Busy Period & Power Optimization] <br/> and [https://wustl.instructure.com/courses/133964/pages/practice-problems-by-unit Chapter 27 problems (2nd bullet problems in U5a)] || [https://drive.google.com/file/d/1GFA5hAAEp5jB1u-QVRIIxOP0WEfRDENr/view?usp=sharing Preview Problems 21] ||
 
|-
 
|-
−
| U5 || 11/22 || M/G/1 queue and application to power optimization || Chapter 26 (Section 2) and Chapter 27 || [https://drive.google.com/file/d/1h8hNRPr9CUfIBKlUt9PLf_n_5NbBMPyJ/view?usp=sharing M/G/1 Busy Period & Power Optimization] <br/> and [https://wustl.instructure.com/courses/47391/files/1571761/preview Chapter 27 problems] || [https://drive.google.com/file/d/1GFA5hAAEp5jB1u-QVRIIxOP0WEfRDENr/view?usp=sharing Preview Problems 21] ||
+
| U5 || 11/20 || Non-preemptive scheduling policies for M/G/1/ queue || Review Section 3 of Chapter 27 <br/> Read Chapter 28 reviewing key metrics, Chapter 29 and Chapter 31 (they are small chapters) ||[https://drive.google.com/file/d/14rnLhfI0ijR8ht4ygVWnqZD8JtOBTRjP/view?usp=sharing Scheduling Non-Preemptive Policies] <!-- <br/> and [https://wustl.instructure.com/courses/133964/pages/practice-problems-by-unit LCFS problem] -->  || [https://drive.google.com/file/d/1UeWHltFZQnZbLNQskeBHAOUq7Cl-SiI-/view?usp=sharing Preview Problems 22]||
 
|-
 
|-
−
|style="background-color: Red;"| ||style="background-color: Red;"| 11/24 ||style="background-color: Red;"|colspan="3" NO CLASS - THANKSGIVING BREAK
+
| U5 || 11/25 || Non-Size-Based Preemptive scheduling policies for M/G/1 queue || Chapter 30 ||[https://drive.google.com/file/d/1Af2GKXJB83TV_DduVbjk_PXajM8pQPns/edit?usp=share_link&ouid=112223552596975457559&rtpof=true&sd=true Non-Size-Based Preemptive Scheduling Policies] <br/> and [https://wustl.instructure.com/courses/133964/pages/practice-problems-by-unit Problem 30.5 (3rd problem in U5b)] || [https://drive.google.com/file/d/15U9XpFDi7HiAqiMqt_9yR4d_eS1IRh8V/view?usp=sharing Preview Problems 23] ||
 
|-
 
|-
−
| U5 || 11/29 || Non-preemptive scheduling policies for M/G/1/ queue || Review Section 3 of Chapter 27, Chapter 29 and Chapter 31 ||[https://drive.google.com/file/d/14rnLhfI0ijR8ht4ygVWnqZD8JtOBTRjP/view?usp=sharing Scheduling Non-Preemptive Policies] <!-- <br/> and [https://wustl.instructure.com/courses/47391/files/1571765/preview LCFS problem] -->  || [https://drive.google.com/file/d/1UeWHltFZQnZbLNQskeBHAOUq7Cl-SiI-/view?usp=sharing Preview Problems 22]||
+
|style="background-color: Red;"| ||style="background-color: Red;"| 11/27 ||colspan="5" style="background-color: Red; text-align:center;"| NO CLASS - THANKSGIVING BREAK
 
|}
 
|}
  
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! Quizzes & Homeworks
 
! Quizzes & Homeworks
 
|-
 
|-
−
| U5 || 12/6 || Preemptive scheduling policies for M/G/1 queue || Chapters 30, 32 & 33 ||[https://drive.google.com/file/d/1EBTZy-G_0sqR2b71MVYZfbloYZWI7vEW/view?usp=sharing Scheduling Preemptive Policies] || [https://drive.google.com/file/d/15U9XpFDi7HiAqiMqt_9yR4d_eS1IRh8V/view?usp=sharing Preview Problems 23] ||
+
|U5 || 12/2 || Size-Based Preemptive scheduling policies for M/G/1 queue || Chapters 32 & 33 || [https://drive.google.com/file/d/1crYbj01bzna-MvRNP0yw-3_4gMQcBd6z/view?usp=sharing Size-Based Preemptive Policies] || [https://drive.google.com/file/d/1F5vGHtWsgLSL-a13EylJYfHN2ZCVCCk8/view?usp=sharing Preview Problems 24] ||  
 
|-
 
|-
−
| Open || 12/8 || U5 Recap session || All U5 material covered from Quiz 5 onward ||[https://drive.google.com/file/d/1JCAe1HkLJnPe5DrNQgETVOph6YbLr8GU/view?usp=sharing Review 5] || || style="background-color: SkyBlue;"| [https://drive.google.com/file/d/16dGgSm9I1iYLSSdzB1RYMsNW_pXg2xyB/view?usp=sharing HWK #6]
+
| Open || 12/4 || U5 Recap session || All U5 material covered from Quiz 5 onward ||[https://drive.google.com/file/d/1JCAe1HkLJnPe5DrNQgETVOph6YbLr8GU/view?usp=sharing Review 5] <br/> [https://drive.google.com/file/d/1HESHxdXwKEk3g441x_ukeUfKNJbd6fkA/view?usp=sharing Jiaming's review slides] || || style="background-color: SkyBlue;"| [https://drive.google.com/file/d/16dGgSm9I1iYLSSdzB1RYMsNW_pXg2xyB/view?usp=sharing HWK #6]
 
|-
 
|-
−
| || ||  || colspan="3" | <!--Unlike other quizzes.  This quiz will be given at the '''end''' of the session --> ||style="background-color: SpringGreen;"| Quiz 6   
+
| || 12/5 ||  || colspan="3" | Available on 12/5 at 5:30pm, due three days later ||style="background-color: SpringGreen;"| Quiz 6   
 
<!--|-
 
<!--|-
 
| 12/08 || Preemptive size-based scheduling policies || Chapter 32 (Sections 32.3 and onward) & Chapter 33 ||  [https://drive.google.com/file/d/1crYbj01bzna-MvRNP0yw-3_4gMQcBd6z/view?usp=sharing Slides 20]] || [[Media:review27.pdf | Preview 27 problems]] ||  
 
| 12/08 || Preemptive size-based scheduling policies || Chapter 32 (Sections 32.3 and onward) & Chapter 33 ||  [https://drive.google.com/file/d/1crYbj01bzna-MvRNP0yw-3_4gMQcBd6z/view?usp=sharing Slides 20]] || [[Media:review27.pdf | Preview 27 problems]] ||  

Latest revision as of 20:13, 18 November 2024

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 Jubel Hall 121.

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
- Summary of Main Transform Relationships
- Finite M/G/1 Queue		 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 bullet problems in U5a)		 Preview Problems 21
U5 11/20 Non-preemptive scheduling policies for M/G/1/ queue Review Section 3 of Chapter 27
Read Chapter 28 reviewing key metrics, Chapter 29 and Chapter 31 (they are small chapters)		 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 12/2 Size-Based Preemptive scheduling policies for M/G/1 queue Chapters 32 & 33 Size-Based Preemptive Policies Preview Problems 24
Open 12/4 U5 Recap session All U5 material covered from Quiz 5 onward Review 5
Jiaming's review slides		 HWK #6
12/5 Available on 12/5 at 5:30pm, due three days later Quiz 6
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