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| Introduction to Queueing | |
| Motivating examples | |
| Queueing theory terminology | |
| Necessary Probability Background | |
| Probability review | |
| Generating random variables | |
| Sample paths, convergence, and averages | |
| The Predictive Power of Simple Operational Laws: 'What If' Questions and Answers | |
| Operational laws | |
| Modificati... MORE | |
| From Markov Chains to Simple Queues | |
| Discrete-time Markov Chains | |
| Ergodicity theory | |
| Real-world examples: Google, Aloha | |
| Generating functions for Markov Chains | |
| Exponential distributions and Poisson Process | |
| Transition to continuous-time Markov Chains | |
| M/M/1 and PASTA | |
| Server Farms and Networks: Multi-server, Multi-queue Systems | |
| Server farms: M/M/k and M/M/k/k | |
| Capacity provisioning for server farms | |
| Time-reversibility and Burke's Theorem | |
| Jackson network of queues | |
| Classed network of queues | |
| Closed networks of queues | |
| Real-World Workloads: High-Variability and Heavy Tails | |
| Tales of tails: real-world workloads | |
| Phase-type workloads and matrix-analytic | |
| Networks of time-sharing (PS) servers | |
| M/G/I queue and inspection paradox | |
| Task assignment for server farms | |
| Transform analysis | |
| M/G/I transform analysis | |
| Power optimization application | |
| Smart Scheduling | |
| Performance metrics | |
| Non-preemptive, non-size-based policies | |
| Preemptive, non-size-based policies | |
| Non-preemptive, size-based policies | |
| Preemptive, size-based policies | |
| Scheduling: SRPT and fairness | |
| Table of Contents provided by Publisher. All Rights Reserved. |