Course

Computer - Performance Evaluation of Computer Systems

Indian Institute of Technology Madras

This course, led by Prof. Krishna Moorthy Sivalingam from the Department of Computer Science and Engineering at IIT Madras, focuses on the performance evaluation of computer systems. The curriculum includes:

  • Introduction to performance evaluation techniques
  • Common mistakes to avoid
  • Selection of appropriate metrics
  • Probability distributions and stochastic processes
  • Queuing theory and its applications
  • Discrete-event simulations and Petri nets

Students will learn through case studies, simulations, and various modeling techniques, providing a comprehensive understanding of performance evaluation methodologies.

Course Lectures
  • This module introduces the fundamental concepts of performance evaluation in computer systems. It covers the importance of assessing system efficiency and effectiveness in various contexts.

    Key topics include:

    • Definition of performance evaluation
    • Importance in system design
    • Common performance metrics
    • Overview of evaluation methodologies
  • This module discusses common mistakes made during performance evaluation. It emphasizes the significance of correct methodologies and techniques to avoid pitfalls.

    Topics include:

    • Common errors in performance metrics
    • Misinterpretation of results
    • Overlooking system context
    • Importance of comprehensive approaches
  • This module focuses on selecting appropriate techniques and metrics for performance evaluation. Understanding which tools to utilize based on the system's requirements is crucial.

    Key points include:

    • Criteria for technique selection
    • Identifying relevant performance metrics
    • Trade-offs between different approaches
    • Real-world applications and examples
  • This case study module illustrates the practical application of techniques and metrics in performance evaluation. Real-world scenarios will be analyzed to enhance understanding.

    Key components include:

    • Case studies from various domains
    • Analysis of selected techniques
    • Insights into metric effectiveness
    • Lessons learned from real evaluations
  • This module introduces random variables and probability distributions, foundational concepts in performance evaluation. Understanding these concepts is vital for accurate analysis.

    Topics of discussion include:

    • Definition of random variables
    • Types of probability distributions
    • Applications in performance metrics
    • Importance in modeling system behavior
  • This module delves into the first types of probability distributions, providing insight into their characteristics and applications in performance evaluation.

    Key areas covered include:

    • Discrete vs. continuous distributions
    • Common probability distributions (e.g., Binomial, Poisson)
    • Application scenarios in performance metrics
    • Interpreting distribution outcomes
  • This module continues the exploration of probability distributions, focusing on additional types and their relevance in evaluating computer system performance.

    Key discussions include:

    • Exponential and Normal distributions
    • Characteristics and uses
    • Applications in performance modeling
    • Statistical significance in evaluations
  • This module further explores probability distributions, focusing on advanced distributions and their applications in performance evaluation.

    Key elements include:

    • Gamma and Log-normal distributions
    • Relevance to performance metrics
    • Statistical modeling techniques
    • Real-world applications in system evaluations
  • This module covers stochastic processes, explaining their role in performance evaluation and the mathematical foundations that support them.

    Topics include:

    • Definition and types of stochastic processes
    • Applications in modeling system behavior
    • Transitional probabilities and their significance
    • Real-world examples of stochastic modeling
  • This module focuses on Markov Chains, their properties, and their applications in performance evaluation of computer systems.

    Key aspects covered include:

    • Fundamental concepts of Markov Chains
    • State transitions and probabilities
    • Applications in queuing and performance metrics
    • Real-world scenarios demonstrating Markov Chain utility
  • This module examines the Slotted Aloha protocol model and its relation to discrete-time birth-death processes, emphasizing their significance in performance evaluation.

    Key discussions include:

    • Overview of the Slotted Aloha protocol
    • Discrete-time birth-death processes explained
    • Applications in network performance evaluation
    • Real-world implications and case studies
  • This module introduces continuous-time Markov chains and queuing theory, highlighting their importance in modeling performance metrics in computer systems.

    Key areas include:

    • Continuous-time Markov chain concepts
    • Queuing theory fundamentals
    • Applications in performance evaluation
    • Real-world examples and case studies
  • In this module, we continue our exploration of queuing theory, focusing on its applications in computer systems. Queuing theory is essential for understanding how resources are allocated and utilized in processing tasks. We will cover:

    • The basic principles of queue behavior
    • Key performance metrics such as wait times and queue lengths
    • Applications of queuing models in network design

    By the end of this module, students will have a deeper understanding of how queuing theory can optimize system performance.

  • This module introduces the second part of queuing theory, emphasizing more advanced concepts. Students will learn about:

    • Different types of queuing models
    • Markov processes and their relevance
    • Real-world applications of queuing theory in IT systems

    Through examples and case studies, we aim to highlight the importance of these concepts in efficient system design.

  • This module continues the discussion on queuing theory with a focus on more intricate queuing models. Topics covered will include:

    • Multi-channel queues and their characteristics
    • Priority-based queuing systems
    • Applications in telecommunications and networking

    The goal is to provide students with practical insights into how these models can be applied in various scenarios.

  • In this module, we delve deeper into queuing theory, with a focus on analyzing complex systems. Subjects include:

    • Closed and open queuing networks
    • Performance measures for complex systems
    • Real-life examples and their analysis

    The emphasis will be on understanding how to model and evaluate system performance effectively.

  • This module expands on previous concepts to include further applications of queuing theory. Key topics include:

    • Stochastic processes in queuing
    • Applications in manufacturing and service systems
    • Simulation techniques to analyze queuing scenarios

    Students will learn how to apply theory to practical problems, enhancing their analytical skills.

  • This module covers the advanced aspects of queuing theory focusing on the last few concepts. Subjects include:

    • Advanced queuing networks
    • System performance in heterogeneous environments
    • Impact of variability on system dynamics

    Through discussions and examples, students will understand the complexities of real-world systems.

  • This module presents additional complexities in queuing theory, including topics like:

    • Priority queues and their management
    • Dynamic scheduling in computing environments
    • Real-world case studies on queue management

    Students will gain practical insights into managing queues effectively in varied scenarios.

  • This module introduces queuing networks, focusing on their structure and functionality. Key topics include:

    • Types of queuing networks
    • Modeling techniques for performance evaluation
    • Applications in various industries

    Students will learn how to model complex systems effectively, using queuing networks.

  • This module covers the Slotted Aloha Markov model, focusing on its significance in networking. Key points include:

    • Understanding the Slotted Aloha protocol
    • Markov models and their applications in network performance
    • Analysis of throughput and delay

    Students will explore practical examples to appreciate the model's impact on network design.

  • This module introduces simulations as a tool for analyzing queuing systems. Topics include:

    • Basics of simulation techniques
    • Applications of simulations in performance evaluation
    • Case studies demonstrating simulation effectiveness

    Students will learn how to implement simulations to derive insights from queuing systems.

  • This module continues the discussion on simulations, focusing on more complex scenarios. Key topics include:

    • Advanced simulation models
    • Handling variability in simulations
    • Evaluating simulation results for queuing systems

    Students will gain deeper insights into the complexities of simulation applications in queuing analysis.

  • This module concludes the series on simulations in queuing systems, discussing comprehensive techniques. Key points include:

    • Integration of simulations with queuing theory
    • Best practices for simulation modeling
    • Final case studies and future directions in queuing analysis

    Students will be equipped with knowledge and skills to apply simulations effectively in real-world scenarios.

  • This module delves into the fundamental operational laws that govern the performance of computer systems. Understanding these laws is crucial for evaluating and optimizing system performance.

    Key topics include:

    • Little's Law and its significance in queuing theory
    • Utilization equations and their implications for system load
    • Relationship between throughput and response time
  • This module continues the exploration of operational laws, expanding on the previous lectures to include more complex scenarios in performance evaluation. Students will learn about:

    • Advanced utilization calculations
    • Closed and open queuing models
    • Impacts of varying system configurations on performance
  • In this module, students will explore the concept of open and closed queuing networks, essential for understanding how tasks flow through systems. Key aspects include:

    • Differences between open and closed networks
    • Application of queuing theory in performance analysis
    • Real-world examples of queuing systems
  • This module introduces the Approximate Mean Value Analysis (MVA) method, a powerful technique for evaluating the performance of queuing networks. The module covers:

    • Theoretical foundations of MVA
    • Application scenarios for MVA
    • Limitations and assumptions associated with MVA
  • In this module, we focus on the Convolution Algorithm, a critical method for solving complex queuing problems. The module will cover:

    • Basic principles of the convolution algorithm
    • Step-by-step procedures for its application
    • Examples to illustrate its effectiveness
  • This module continues the exploration of the Convolution Algorithm, providing deeper insights and more complex examples to solidify understanding. It will address:

    • Advanced applications of the convolution algorithm
    • Numerical examples and case studies
    • Comparisons with other analytical methods
  • This module discusses load-dependent service centers, an essential concept for understanding how varying loads affect performance metrics. Key topics include:

    • Characteristics of load-dependent service systems
    • Impact of load fluctuations on performance
    • Strategies for managing load-dependent systems
  • This module focuses on hierarchical decomposition techniques, which are vital for managing complex systems by breaking them down into simpler components. The coverage includes:

    • Concept and importance of hierarchical decomposition
    • Applications in performance evaluation
    • Benefits of using such techniques
  • This module introduces Balanced Job Bounds, focusing on their role in performance evaluation. Participants will learn about:

    • Definition and significance of job bounds
    • How balanced job bounds can optimize systems
    • Practical applications in computer performance
  • This module covers confidence intervals for proportions and introduces the principles of experimental design. Participants will explore:

    • Methods to compute confidence intervals
    • Importance of these intervals in experimental settings
    • Basic concepts in experimental design
  • This module introduces the 2k factorial design, a vital method for conducting experiments efficiently. It will cover:

    • Principles of factorial design
    • Advantages of using 2k designs
    • Applications in performance evaluation of computer systems
  • This module continues the exploration of factorial designs by introducing the 2k-p fractional factorial design. Topics addressed will include:

    • Concept and application of fractional factorial designs
    • Benefits compared to full factorial designs
    • Real-world applications in performance evaluation
  • This module introduces the fundamental concepts of discrete-event simulations. Students will learn how to model systems using discrete events, which are essential for analyzing complex systems. Key topics will include:

    • Basics of discrete-event simulation
    • Simulation methodology
    • Programming aspects using simulation tools

    The knowledge gained will be applied to various fields, enhancing understanding of system performance and optimization.

  • Continuing from the previous module, this session delves deeper into programming aspects of discrete-event simulations. Students will focus on:

    1. Advanced programming techniques for discrete-event simulations
    2. Utilizing popular simulation software
    3. Real-world application of simulation models

    Participants will gain hands-on experience, enabling them to create and analyze their own simulation scenarios effectively.

  • This module covers the third part of discrete-event simulations, emphasizing more complex scenarios and methodologies. Key areas of focus include:

    • Multi-faceted system interactions
    • Statistical analysis of simulation outputs
    • Validation and verification of simulation models

    Students will learn how to ensure their simulations accurately reflect real-world systems through rigorous analysis and testing methodologies.

  • This module introduces Petri Nets, a powerful mathematical modeling tool used for describing and analyzing systems. The key topics include:

    • Basic concepts of Petri Nets
    • Graphical representation of systems
    • Applications in computer science and engineering

    Students will explore how Petri Nets can be used to model concurrent, asynchronous, distributed, and parallel systems effectively.

  • Building upon the previous module, this lecture expands on the intricacies of Petri Nets. Topics will include:

    1. Types of Petri Nets and their characteristics
    2. Modeling dynamic systems using Petri Nets
    3. Analyzing system properties through Petri Net semantics

    This session will enable students to deepen their understanding of system dynamics and how to leverage Petri Nets for effective modeling.

  • This module concludes the study of Petri Nets by examining advanced concepts and applications. Topics covered include:

    • Hierarchical Petri Nets
    • Time and stochastic Petri Nets
    • Applications in network protocols and manufacturing systems

    Students will learn how to model more complex systems and use Petri Nets to evaluate performance in various real-world scenarios.