In CPM scheduling, what does the term 'free float' represent?
Correct Answer
B) Time an activity can be delayed without affecting any successor activities
Free float is the amount of time an activity can be delayed without affecting the early start of any immediately following activities. This is different from total float, which considers impact on the entire project.
Why This Is the Correct Answer
Free float specifically measures the amount of time an activity can be delayed without affecting the early start time of any immediately following successor activities. It is calculated as the difference between the early finish of the current activity and the earliest early start of all successor activities. This concept is crucial in CPM scheduling because it identifies activities that have scheduling flexibility without creating downstream delays. Free float is always less than or equal to total float and focuses on local impact rather than overall project impact.
Why the Other Options Are Wrong
Option A: Time an activity can be delayed without affecting the project completion
This describes total float, not free float. Total float considers the impact on the entire project completion date, while free float only considers the impact on immediate successor activities.
Option C: The shortest possible duration for completing an activity
This describes the optimistic duration estimate in PERT scheduling, not free float. Free float is about scheduling flexibility, not activity duration.
Option D: The difference between optimistic and pessimistic time estimates
This describes the range in PERT time estimates, not free float. Free float is a scheduling concept related to activity delays, not time estimation variability.
Memory Technique
Think 'FREE your successors' - free float is the time you can delay without making your successor activities start late. Total float affects the whole project, but FREE float only affects what comes immediately after.
Reference Hint
Look up CPM scheduling methods in the project management or scheduling chapter, specifically the section on float calculations and critical path analysis.
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