Critical Path Analysis: Key Terms and Concepts Quiz
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Questions and Answers

Which method involves attaching the activities and times to vertices, referred to as 'activity on node'?

  • No method mentioned
  • Method 2
  • Method 1 (correct)
  • Method 3
  • In the third diagram mentioned, what was introduced with no weight?

  • A vertex
  • A starting point
  • An outgoing edge
  • A dummy activity X (correct)
  • Which method involves attaching activities and times to edges and starting and finishing at a vertex, known as 'activity on arrow'?

  • Method 2 (correct)
  • No method mentioned
  • Method 3
  • Method 1
  • When constructing networks to model duration and interdependencies, what can students consider outsourcing while showering?

    <p>Making breakfast</p> Signup and view all the answers

    What is the purpose of introducing a dummy activity X in the third diagram?

    <p>To have an activity with no weight</p> Signup and view all the answers

    What concept is introduced by showing the shimap.org video?

    <p>Network terminology</p> Signup and view all the answers

    In the context of travel routes between Australia and China, what does 'source' refer to in a network diagram?

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

    What does the 'maximum-flow minimum-cut' theorem help determine?

    <p>Capacity of flow in a network</p> Signup and view all the answers

    How can students convert information presented in a table into a network diagram?

    <p>By using flow capacity data</p> Signup and view all the answers

    What does the teacher do to introduce network terminology using student diagrams?

    <p>Use each student's diagram as an example</p> Signup and view all the answers

    'Sink' in a network diagram typically represents:

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

    What is the critical path in a project network?

    <p>The sequence of activities with the longest overall duration</p> Signup and view all the answers

    When referring to Earliest Starting Time (EST), what does it represent?

    <p>The earliest time activities can be started after all prior activities are completed</p> Signup and view all the answers

    What is Float Time in a project network?

    <p>The time a task can be delayed without causing a delay to subsequent tasks</p> Signup and view all the answers

    How is Flow Capacity in a network determined?

    <p>By using the maximum-flow minimum-cut theorem and considering edge capacities</p> Signup and view all the answers

    What does Latest Finish Time (LFT) indicate in project management?

    <p>The latest possible time an activity can finish without delaying the project schedule</p> Signup and view all the answers

    Why is identifying and addressing students’ misconceptions important in teaching?

    <p>To enhance student learning by correcting misunderstandings</p> Signup and view all the answers

    What is the purpose of forward scanning in critical path analysis?

    <p>To determine the Early Start Time (EST)</p> Signup and view all the answers

    In forward scanning, why is the start vertex assigned an EST of zero?

    <p>To ensure all activities can start immediately</p> Signup and view all the answers

    What does LFT stand for in backward scanning of critical path analysis?

    <p>Late Finish Time</p> Signup and view all the answers

    When two or more paths join in forward scanning, what total is selected?

    <p>The highest total</p> Signup and view all the answers

    Which vertex must always have an LFT of zero in backward scanning?

    <p>The start vertex</p> Signup and view all the answers

    What does EST represent in forward scanning of critical path analysis?

    <p>Earliest Start Time</p> Signup and view all the answers

    In finding a minimum cut, which type of edges will be included?

    <p>Saturated edges</p> Signup and view all the answers

    Is it possible for saturated edges to exist that are not part of a minimum cut?

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

    What does the teacher model in class regarding maximum flow and minimum cut?

    <p>Methods of finding maximum flow and minimum cut</p> Signup and view all the answers

    What do students practice in the student activity related to networks?

    <p>Finding minimum cut and maximum flow</p> Signup and view all the answers

    In which document can students find sample questions related to maximum flow and minimum cut?

    <p>maximum-flow-minimum-cut-sample-questions.DOCX</p> Signup and view all the answers

    Study Notes

    Activity on Node and Activity on Arrow

    • The 'Activity on Node' method involves attaching activities and times to vertices.
    • The 'Activity on Arrow' method involves attaching activities and times to edges and starting and finishing at a vertex.

    Network Diagram Construction

    • When constructing networks, students can consider outsourcing tasks while showering, representing duration and interdependencies.

    Network Diagram Elements

    • In the third diagram, a dummy activity X is introduced with no weight.
    • 'Source' in a network diagram refers to the starting point, typically Australia in the context of travel routes between Australia and China.
    • 'Sink' in a network diagram typically represents the ending point.

    Network Analysis

    • The 'maximum-flow minimum-cut' theorem helps determine the maximum flow and minimum cut in a network.
    • The critical path in a project network is the path with the longest duration.

    Time in Project Management

    • Earliest Starting Time (EST) represents the earliest time an activity can start.
    • Float Time in a project network is the amount of time an activity can be delayed without affecting the overall project duration.
    • Latest Finish Time (LFT) indicates the latest time an activity can finish.

    Critical Path Analysis

    • Forward scanning is used to find the earliest starting time of each activity in a project network.
    • The start vertex is assigned an EST of zero in forward scanning.
    • Backward scanning is used to find the latest finish time of each activity in a project network.
    • LFT stands for Latest Finish Time in backward scanning.
    • When two or more paths join in forward scanning, the maximum total is selected.

    Minimum Cut

    • When finding a minimum cut, only saturated edges will be included.
    • It is possible for saturated edges to exist that are not part of a minimum cut.

    Teaching and Practice

    • The teacher models maximum flow and minimum cut in class.
    • Students practice finding maximum flow and minimum cut in a student activity.
    • Sample questions related to maximum flow and minimum cut can be found in a provided document.
    • Identifying and addressing students' misconceptions is important in teaching.

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    Description

    Test your understanding of critical path analysis key terms and concepts, including forward and backward scanning techniques. Learn how to identify a critical path in a network by drawing activity charts and calculating the earliest start time (EST) for each activity.

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