28 Questions
Which method involves attaching the activities and times to vertices, referred to as 'activity on node'?
Method 1
In the third diagram mentioned, what was introduced with no weight?
A dummy activity X
Which method involves attaching activities and times to edges and starting and finishing at a vertex, known as 'activity on arrow'?
Method 2
When constructing networks to model duration and interdependencies, what can students consider outsourcing while showering?
Making breakfast
What is the purpose of introducing a dummy activity X in the third diagram?
To have an activity with no weight
What concept is introduced by showing the shimap.org video?
Network terminology
In the context of travel routes between Australia and China, what does 'source' refer to in a network diagram?
Australia
What does the 'maximum-flow minimum-cut' theorem help determine?
Capacity of flow in a network
How can students convert information presented in a table into a network diagram?
By using flow capacity data
What does the teacher do to introduce network terminology using student diagrams?
Use each student's diagram as an example
'Sink' in a network diagram typically represents:
Terminal
What is the critical path in a project network?
The sequence of activities with the longest overall duration
When referring to Earliest Starting Time (EST), what does it represent?
The earliest time activities can be started after all prior activities are completed
What is Float Time in a project network?
The time a task can be delayed without causing a delay to subsequent tasks
How is Flow Capacity in a network determined?
By using the maximum-flow minimum-cut theorem and considering edge capacities
What does Latest Finish Time (LFT) indicate in project management?
The latest possible time an activity can finish without delaying the project schedule
Why is identifying and addressing students’ misconceptions important in teaching?
To enhance student learning by correcting misunderstandings
What is the purpose of forward scanning in critical path analysis?
To determine the Early Start Time (EST)
In forward scanning, why is the start vertex assigned an EST of zero?
To ensure all activities can start immediately
What does LFT stand for in backward scanning of critical path analysis?
Late Finish Time
When two or more paths join in forward scanning, what total is selected?
The highest total
Which vertex must always have an LFT of zero in backward scanning?
The start vertex
What does EST represent in forward scanning of critical path analysis?
Earliest Start Time
In finding a minimum cut, which type of edges will be included?
Saturated edges
Is it possible for saturated edges to exist that are not part of a minimum cut?
Yes
What does the teacher model in class regarding maximum flow and minimum cut?
Methods of finding maximum flow and minimum cut
What do students practice in the student activity related to networks?
Finding minimum cut and maximum flow
In which document can students find sample questions related to maximum flow and minimum cut?
maximum-flow-minimum-cut-sample-questions.DOCX
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.
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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