Statistical Analysis of Workloads and CV
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Questions and Answers

What is a key consideration when deciding whether to buy or rent a car for short trips?

  • The color of the car
  • The reliability of the car
  • The ratio of peak to average demand (correct)
  • The fuel efficiency of the car
  • Which of the following best explains the concept of the coefficient of variation (Cv)?

  • The difference between peak and average demand.
  • The ratio of standard deviation to mean. (correct)
  • A statistical measure of mean return.
  • The ratio of average demand to peak demand.
  • What happens when demand is exponential in terms of provisioning?

  • Provisioning will typically meet demand.
  • Demand will stabilize over time.
  • Provisioning will fall behind demand exponentially. (correct)
  • Costs for provisioning decrease over time.
  • What is one potential penalty of under-provisioning resources in an on-demand service model?

    <p>Loss of service delivery.</p> Signup and view all the answers

    What characterizes the value proposition of on-demand services?

    <p>Paying for unused resources or penalties for service disruptions.</p> Signup and view all the answers

    In utility pricing models, what should be considered along with network costs?

    <p>Interoperability overhead.</p> Signup and view all the answers

    How do economies of scale impact service providers?

    <p>They allow providers to lower costs per unit as production increases.</p> Signup and view all the answers

    What is the implication of having a flat demand curve for on-demand services?

    <p>There are no penalties for under-provisioning.</p> Signup and view all the answers

    What does availability represent in cloud service metrics?

    <p>The percentage of uptime for a service</p> Signup and view all the answers

    Which metric measures how quickly the provider responds as resource loads change?

    <p>Agility</p> Signup and view all the answers

    What does the service-level violation rate indicate?

    <p>The mean rate of SLA violations</p> Signup and view all the answers

    Which metric describes the time from when a service is invoked to its completion?

    <p>Transaction time</p> Signup and view all the answers

    Which of the following is a key component of providing on-demand service value propositions?

    <p>Flexibility based on usage</p> Signup and view all the answers

    What factor is considered when evaluating the impacts of latency on services?

    <p>Throughput</p> Signup and view all the answers

    How is durability defined in the context of cloud services?

    <p>The likelihood of data loss</p> Signup and view all the answers

    Which option is NOT a benefit of economies of scale for service providers?

    <p>Diminished quality control</p> Signup and view all the answers

    How does the addition of independent demands impact the coefficient of variation (CV)?

    <p>It reduces the CV by a factor of n.</p> Signup and view all the answers

    What is the consequence of perfectly correlated demands in terms of variance and standard deviation?

    <p>Mean increases to n.µ while variance becomes n²σ².</p> Signup and view all the answers

    Which factor contributes significantly to latency in network services?

    <p>Distance data must travel over wired connections.</p> Signup and view all the answers

    How do economies of scale affect mid-size service providers as compared to large service providers?

    <p>Mid-size providers can achieve similar statistical economies to infinitely large providers.</p> Signup and view all the answers

    What is a crucial aspect of supporting a global user base through service architecture?

    <p>Enhancing coordination, consistency, availability, and partition-tolerance.</p> Signup and view all the answers

    What is the relationship between latency and routing algorithms in networks?

    <p>Latency can be worsened by inefficient routing algorithms.</p> Signup and view all the answers

    How do utility pricing models in cloud services differ from traditional pricing?

    <p>Cloud services may be priced higher but still offer economic benefits.</p> Signup and view all the answers

    What impact does location independence have on service architecture?

    <p>It allows for a global reach by decentralizing services.</p> Signup and view all the answers

    Study Notes

    Multiplexing demand from multiple sources may reduce the coefficient of variation CV

    • Adding n independent demands reduces the CV by n
    • Aggregated demand:
      • Variance: n.σ^2
      • Mean: n.µ
    • Aggregating 100 workloads brings the penalty to 10%
    • CV represents the ratio of the standard deviation to the mean

    But What about Workloads?

    • Negative correlation demands: X and 1-X sum is random variable 1
    • Perfectly correlated demands:
      • Aggregated demand: n.X
      • Variance: n^2σ^2(X)
      • Mean: n.µ
      • Standard deviation: n.σ(X)
      • Coefficient of Variance remains constant
      • Simultaneous peaks

    Common Infrastructure in Real World

    • Correlated demands: Private, mid-size and large-size providers can experience similar statistics of scale
    • Independent demands: Midsize providers can achieve similar statistical economies to an infinitely large provider
    • Available data on economy of scale for large providers is:
      • Use the same COTS computers and components
      • Locating near cheap power supplies
      • Early entrant automation tools  3^rd^ parties take care of it

    Value of Location Independence

    • Latency is correlated with:
      • Routing algorithms of routers and switches (second order effects)
      • Speed of light in fiber: only 124 miles per millisecond
    • Supporting a global user base requires a dispersed service architecture:
      • Coordination, consistency, availability, partition-tolerance
      • Investment implications

    Value of Utility Pricing

    • Economy of scale might not be very effective
    • Cloud services don't need to be cheaper to be economical
    • Consider a car:
      • Buying or leasing can be more costly than renting if the car is only needed for a short period

    Utility Pricing in Detail

    • Baseline cost should be proportional to average demand
    • When utility premium is less than the ratio of peak demand to average demand, utility pricing is beneficial

    Utility Pricing in Real World

    • Key factor is the ratio of peak to average demand
    • Other costs to consider:
      • Network cost (fixed costs and usage costs)
      • Interoperability overhead
      • Reliability, accessibility

    Value of on-Demand Services

    • On-demand services provide a trade-off between paying for unused resources and suffering the penalty of missing service delivery

    Penalty Costs for Exponential Demand

    • If demand is exponential (D(t)=e^t), any fixed provisioning interval will fall exponentially behind

    Coefficient of Variation - Cv

    • Statistical measure of the dispersion of data points in a data series around the mean
    • The lower the ratio of standard deviation to mean, the better the risk-return tradeoff

    Industry-defined KPIs

    • Key performance indicators (KPIs) are used to monitor and audit cloud service providers
    • Eliminates conflicts of interest if:
      • Provider reports outage at its sole discretion
      • Consumer is responsible for an outage

    Metrics for Monitoring and Auditing

    • Throughput - How quickly the service responds
    • Availability - Represented as a percentage of uptime
    • Reliability - How often the service is available
    • Load balancing - When elasticity kicks in
    • Durability - How likely the data is to be lost
    • Elasticity - Ability for a resource to grow infinitely
    • Linearity - How a system performs as the load increases
    • Agility - How quickly the provider responds to scaling
    • Automation - Percentage of requests handled without human intervention
    • Customer service response times - Time it takes the provider to respond to a service request
    • Service-level violation rate - Mean rate of SLA violation
    • Transaction time - Time elapsed from service invocation to completion
    • Resolution time - Time period between detection of a service problem and its resolution

    SLA Requirements w.r.t.

    • SLA requirements should align with the specific use case and performance objectives of the application or service
    • Factors to consider:
      • Service levels: Agreed upon performance targets and goals for key metrics. This often involves setting specific thresholds, targets, and acceptable ranges for metrics like availability, latency, throughput, and error rates.
      • Monitoring and reporting: Regularly monitoring the service performance to ensure adherence to SLA requirements and providing reports to both provider and consumer on the current service status.
      • Penalties and remedies: Defining specific actions and consequences for service level violations, including financial penalties, service credits, or other remediation options.

    Assignment 1

    • The cost to provision unit cloud resource for unit time is 0.9 units
    • Possible mapping:
      • Availability (A) = 1 -- (downtime/uptime)
    • The text includes a calculation of the penalty cost based on the availability and other variables

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    Description

    This quiz delves into the implications of multiplexing demand from multiple sources on the coefficient of variation (CV). It covers concepts like independent and correlated demands, variance, mean, and the effects of workload aggregation. Test your understanding of statistical principles related to demand and workload management.

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