Slides

Slides are only meant as supporting material for the lectures. The book and the supplementary material in the Docs & online resources section of the wiki will often include other useful information.

• Overview and Nomenclature
• Probability Refresher
• Little's Law & Operational Laws
• Discrete Time Markov Chains (DTMC) - an Overview
• DTMC Examples
• Ergodicity, Balance Equations, and Time Reversibility
• Review of z-Transforms
• Poisson & Exponential Distributions
• CTMCs and M/M/* Queues
• Provisioning and Overflow Systems
• Reversibility, Burke's Theorem and Open and Closed Jackson Networks (spans roughly 3 lectures)
• Brief Overview of Matrix Analytic Techniques
• Processor Sharing Service Discipline
• M/G/1 Queue and the Renewal Reward Theorem
• Server Assignment Policies
• Transform Analysis and Applications to M/G/1 Queue
  • Summary of Main Transform Relationships
  • Finite M/G/1 Queue
• M/G/1 Queue w/ Setup and Applications to Power Optimization
• Scheduling - Non-Preemptive Policies
• Scheduling - Non-Size-Based Preemptive Policies
• Scheduling - Size-Based Preemptive Policies